{"id":302,"date":"2024-12-06T01:35:23","date_gmt":"2024-12-06T01:35:23","guid":{"rendered":"https:\/\/laser.usal.es\/hhgstudio\/?page_id=302"},"modified":"2025-10-28T18:35:14","modified_gmt":"2025-10-28T18:35:14","slug":"home","status":"publish","type":"page","link":"https:\/\/laser.usal.es\/hhgstudio\/","title":{"rendered":"Home"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"302\" class=\"elementor elementor-302\">\n\t\t\t\t<div class=\"elementor-element elementor-element-e29115e e-flex e-con-boxed e-con e-parent\" data-id=\"e29115e\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-ba4ceeb e-con-full e-flex e-con e-child\" data-id=\"ba4ceeb\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-809ac5b elementor-widget elementor-widget-heading\" data-id=\"809ac5b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">HHG Studio<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8e320d6 elementor-widget elementor-widget-text-editor\" data-id=\"8e320d6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h4 style=\"color: white;\">The most complete application to run High Harmonic Generation simulations<\/h4>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-5065c9e e-flex e-con-boxed e-con e-child\" data-id=\"5065c9e\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-1a65cc2 elementor-widget__width-auto elementor-widget elementor-widget-button\" data-id=\"1a65cc2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"#download\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Download HHG Studio<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-15bf910 elementor-widget__width-auto elementor-widget elementor-widget-button\" data-id=\"15bf910\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"#features\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-long-arrow-alt-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M313.941 216H12c-6.627 0-12 5.373-12 12v56c0 6.627 5.373 12 12 12h301.941v46.059c0 21.382 25.851 32.09 40.971 16.971l86.059-86.059c9.373-9.373 9.373-24.569 0-33.941l-86.059-86.059c-15.119-15.119-40.971-4.411-40.971 16.971V216z\"><\/path><\/svg>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Learn More<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-9de465f e-con-full e-flex e-con e-child\" data-id=\"9de465f\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-6cdc6a4 elementor-widget elementor-widget-image\" data-id=\"6cdc6a4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"2494\" height=\"1408\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/hhgstudio1.png\" class=\"attachment-full size-full wp-image-1339\" alt=\"\" srcset=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/hhgstudio1.png 2494w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/hhgstudio1-300x169.png 300w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/hhgstudio1-1024x578.png 1024w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/hhgstudio1-768x434.png 768w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/hhgstudio1-1536x867.png 1536w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/hhgstudio1-2048x1156.png 2048w\" sizes=\"(max-width: 2494px) 100vw, 2494px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-13221ff e-flex e-con-boxed e-con e-parent\" data-id=\"13221ff\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-76d1b58 e-con-full e-flex e-con e-child\" data-id=\"76d1b58\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-6f37514 elementor-widget elementor-widget-menu-anchor\" data-id=\"6f37514\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"menu-anchor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-menu-anchor\" id=\"features\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c4d7af1 elementor-widget elementor-widget-heading\" data-id=\"c4d7af1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Main features<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-d2edf76 e-flex e-con-boxed e-con e-child\" data-id=\"d2edf76\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-f74f52a e-con-full e-flex e-con e-child\" data-id=\"f74f52a\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-de40b9f elementor-widget elementor-widget-image\" data-id=\"de40b9f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"2494\" height=\"1408\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/drivingfield.png\" class=\"attachment-full size-full wp-image-1337\" alt=\"\" srcset=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/drivingfield.png 2494w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/drivingfield-300x169.png 300w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/drivingfield-1024x578.png 1024w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/drivingfield-768x434.png 768w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/drivingfield-1536x867.png 1536w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/drivingfield-2048x1156.png 2048w\" sizes=\"(max-width: 2494px) 100vw, 2494px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-32eddc3 e-con-full e-flex e-con e-child\" data-id=\"32eddc3\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-2be5a67 elementor-widget elementor-widget-heading\" data-id=\"2be5a67\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Define your custom driving field.<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e3b7d3d elementor-widget elementor-widget-text-editor\" data-id=\"e3b7d3d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>You can shape your driving field combining up to four laser pulses, configuring their wavelength, number of cycles, envelope, duration, CEP, polarization and more.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f01f447 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"f01f447\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-check-circle\" viewBox=\"0 0 512 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M504 256c0 136.967-111.033 248-248 248S8 392.967 8 256 119.033 8 256 8s248 111.033 248 248zM227.314 387.314l184-184c6.248-6.248 6.248-16.379 0-22.627l-22.627-22.627c-6.248-6.249-16.379-6.249-22.628 0L216 308.118l-70.059-70.059c-6.248-6.248-16.379-6.248-22.628 0l-22.627 22.627c-6.248 6.248-6.248 16.379 0 22.627l104 104c6.249 6.249 16.379 6.249 22.628.001z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Up to 4 driving laser pulses<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-check-circle\" viewBox=\"0 0 512 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M504 256c0 136.967-111.033 248-248 248S8 392.967 8 256 119.033 8 256 8s248 111.033 248 248zM227.314 387.314l184-184c6.248-6.248 6.248-16.379 0-22.627l-22.627-22.627c-6.248-6.249-16.379-6.249-22.628 0L216 308.118l-70.059-70.059c-6.248-6.248-16.379-6.248-22.628 0l-22.627 22.627c-6.248 6.248-6.248 16.379 0 22.627l104 104c6.249 6.249 16.379 6.249 22.628.001z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Visualize your configuration<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-check-circle\" viewBox=\"0 0 512 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M504 256c0 136.967-111.033 248-248 248S8 392.967 8 256 119.033 8 256 8s248 111.033 248 248zM227.314 387.314l184-184c6.248-6.248 6.248-16.379 0-22.627l-22.627-22.627c-6.248-6.249-16.379-6.249-22.628 0L216 308.118l-70.059-70.059c-6.248-6.248-16.379-6.248-22.628 0l-22.627 22.627c-6.248 6.248-6.248 16.379 0 22.627l104 104c6.249 6.249 16.379 6.249 22.628.001z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Preview microscopic HHG<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5a672f0 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"5a672f0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-f067a6f e-flex e-con-boxed e-con e-child\" data-id=\"f067a6f\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-2287200 e-con-full e-flex e-con e-child\" data-id=\"2287200\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-bb9680b elementor-widget elementor-widget-heading\" data-id=\"bb9680b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Configure the spatial profile<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d1857d5 elementor-widget elementor-widget-text-editor\" data-id=\"d1857d5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>You can select the spatial profile using different Laguerre-Gauss and Hermite-Gauss combinations. You can visualize the field, intensity and phase of your driving pulse in the whole simulation space, with different graphical controls\u00a0 configurable graphs and a video control that shows the time evolution.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-6a5b05f e-con-full e-flex e-con e-child\" data-id=\"6a5b05f\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-dd48e5e elementor-widget elementor-widget-image\" data-id=\"dd48e5e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"2494\" height=\"1408\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/spatialprofile.png\" class=\"attachment-full size-full wp-image-1336\" alt=\"\" srcset=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/spatialprofile.png 2494w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/spatialprofile-300x169.png 300w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/spatialprofile-1024x578.png 1024w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/spatialprofile-768x434.png 768w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/spatialprofile-1536x867.png 1536w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/spatialprofile-2048x1156.png 2048w\" sizes=\"(max-width: 2494px) 100vw, 2494px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-32bd000 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"32bd000\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-03438ea e-flex e-con-boxed e-con e-child\" data-id=\"03438ea\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-1e2868f e-con-full e-flex e-con e-child\" data-id=\"1e2868f\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-b04cdbb elementor-widget elementor-widget-image\" data-id=\"b04cdbb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"578\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/gastarget-1024x578.png\" class=\"attachment-large size-large wp-image-1335\" alt=\"\" srcset=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/gastarget-1024x578.png 1024w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/gastarget-300x169.png 300w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/gastarget-768x434.png 768w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/gastarget-1536x867.png 1536w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/gastarget-2048x1156.png 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-c0c9df5 e-con-full e-flex e-con e-child\" data-id=\"c0c9df5\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-698b8fb elementor-widget elementor-widget-heading\" data-id=\"698b8fb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Set up your target<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f08528b elementor-widget elementor-widget-text-editor\" data-id=\"f08528b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Select the location, shape and distribution and the gas of your target. You can configure a single plane or an entire volume for your macroscopic simulations. Selecting different points, you can preview your driving field.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1b59fd7 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"1b59fd7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-dc46fa6 e-flex e-con-boxed e-con e-child\" data-id=\"dc46fa6\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-af304bf e-con-full e-flex e-con e-child\" data-id=\"af304bf\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-89c407f elementor-widget elementor-widget-heading\" data-id=\"89c407f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Analyze your results<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a7fa950 elementor-widget elementor-widget-text-editor\" data-id=\"a7fa950\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Using the integrated graphical tools, you will be able to analyze your results, analyzing the emission at different divergences, focusing on a single point or using filters like Aluminium or Titanium. For a more detailed analysis using external tools, it&#8217;s also possible to export the raw data as text or as images.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-73f0e2b e-con-full e-flex e-con e-child\" data-id=\"73f0e2b\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-b52444c elementor-widget elementor-widget-image\" data-id=\"b52444c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"2494\" height=\"1408\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/simulationresults.png\" class=\"attachment-full size-full wp-image-1334\" alt=\"\" srcset=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/simulationresults.png 2494w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/simulationresults-300x169.png 300w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/simulationresults-1024x578.png 1024w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/simulationresults-768x434.png 768w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/simulationresults-1536x867.png 1536w, https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/simulationresults-2048x1156.png 2048w\" sizes=\"(max-width: 2494px) 100vw, 2494px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f1c7f86 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"f1c7f86\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-572facc e-flex e-con-boxed e-con e-parent\" data-id=\"572facc\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-143653f e-con-full e-flex e-con e-child\" data-id=\"143653f\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-0b071e9 elementor-widget elementor-widget-menu-anchor\" data-id=\"0b071e9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"menu-anchor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-menu-anchor\" id=\"examples\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8168493 elementor-widget elementor-widget-heading\" data-id=\"8168493\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Examples<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3d82726 e-n-tabs-mobile elementor-widget elementor-widget-n-tabs\" data-id=\"3d82726\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;tabs_justify_horizontal&quot;:&quot;start&quot;,&quot;horizontal_scroll&quot;:&quot;disable&quot;}\" data-widget_type=\"nested-tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"e-n-tabs\" data-widget-number=\"64497446\" aria-label=\"Pesta\u00f1as. Abre elementos con Intro o Espacio, ci\u00e9rralos con Escape y navega con las fechas.\">\n\t\t\t<div class=\"e-n-tabs-heading\" role=\"tablist\">\n\t\t\t\t\t<button id=\"e-n-tab-title-644974461\" data-tab-title-id=\"e-n-tab-title-644974461\" class=\"e-n-tab-title\" aria-selected=\"true\" data-tab-index=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"e-n-tab-content-644974461\" style=\"--n-tabs-title-order: 1;\">\n\t\t\t\t\t\t<span class=\"e-n-tab-title-text\">\n\t\t\t\tExample 1\t\t\t<\/span>\n\t\t<\/button>\n\t\t\t\t<button id=\"e-n-tab-title-644974462\" data-tab-title-id=\"e-n-tab-title-644974462\" class=\"e-n-tab-title\" aria-selected=\"false\" data-tab-index=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-n-tab-content-644974462\" style=\"--n-tabs-title-order: 2;\">\n\t\t\t\t\t\t<span class=\"e-n-tab-title-text\">\n\t\t\t\tExample 2\t\t\t<\/span>\n\t\t<\/button>\n\t\t\t\t<button id=\"e-n-tab-title-644974463\" data-tab-title-id=\"e-n-tab-title-644974463\" class=\"e-n-tab-title\" aria-selected=\"false\" data-tab-index=\"3\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-n-tab-content-644974463\" style=\"--n-tabs-title-order: 3;\">\n\t\t\t\t\t\t<span class=\"e-n-tab-title-text\">\n\t\t\t\tExample 3\t\t\t<\/span>\n\t\t<\/button>\n\t\t\t\t\t<\/div>\n\t\t\t<div class=\"e-n-tabs-content\">\n\t\t\t\t<div id=\"e-n-tab-content-644974461\" role=\"tabpanel\" aria-labelledby=\"e-n-tab-title-644974461\" data-tab-index=\"1\" style=\"--n-tabs-title-order: 1;\" class=\"e-active elementor-element elementor-element-66ca25d e-con-full e-flex e-con e-child\" data-id=\"66ca25d\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-bd9a4af e-flex e-con-boxed e-con e-child\" data-id=\"bd9a4af\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-38109f1 elementor-widget elementor-widget-text-editor\" data-id=\"38109f1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3>Example 1: Selecting short trajectory contributions after propagation<\/h3><p>This example shows how <strong>macroscopic propagation<\/strong> can suppress the long trajectory contributions and clean up the attosecond pulse.<\/p><h4>Step 1 \u2013 Driving field<\/h4><p>Start with the predefined driving field parameters. To emulate an experiment, set a <strong>filter of 0.5 \u00b5m of Aluminum<\/strong> \u2192 this removes low-order harmonics.<\/p><ul><li>Check the resulting attosecond pulse \u2192 it looks quite messy because <strong>both short and long trajectory contributions coexist<\/strong>.<\/li><li>The <strong>time-frequency analysis<\/strong> confirms this: the two contributions appear as structures with <strong>opposite slopes<\/strong>.<ul><li><em>Tip:<\/em> the <strong>white dots<\/strong> represent the semiclassical predictions from Newton\u2019s law.<\/li><\/ul><\/li><\/ul><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example1-step1.png\" alt=\"Time-frequency analysis showing opposite slopes\" \/><\/p><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example1-step1-02.png\" alt=\"Time-frequency analysis showing opposite slopes\" \/><\/p><h4>Step 2 \u2013 Driving laser beam<\/h4><p>Configure the beam with the predefined parameters. Use a <strong>standard Gaussian beam<\/strong> (Laguerre\u2013Gauss with l=0, p=0) with <strong>waist = 30 \u00b5m<\/strong>. This represents a typical experimental driving field.<\/p><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example1-step2.png\" alt=\"Gaussian beam configuration\" \/><\/p><h4>Step 3 \u2013 Gas target<\/h4><p>Configure the gas jet as follows:<\/p><ul><li><strong>Thickness:<\/strong> 100 \u00b5m in each cartesian direction.<\/li><li><strong>Distribution:<\/strong> homogeneous \u201cbox\u201d.<\/li><li><strong>Jet center:<\/strong> positioned at the focus \u2192 Z = 0 \u00b5m.<\/li><li>Increase the <strong>number of calculations<\/strong> (e.g., from 10,000 to 50,000) to ensure convergence in this test. (You can reduce it afterwards.)<\/li><\/ul><p><em>Tip:<\/em> by clicking on each atom position in the 3D view, you can inspect the <strong>driving field pulse<\/strong> at that location in the bottom panel.<\/p><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example1-step3.png\" alt=\"Gas target configuration\" \/><\/p><h4>Step 4 \u2013 Near-field HHG<\/h4><p>Inspect the single-atom HHG response at the <strong>center of the Gaussian beam<\/strong>.<\/p><ul><li>You\u2019ll see <strong>both short and long trajectory contributions<\/strong>, similar to the purely microscopic calculation.<\/li><\/ul><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example1-step4.png\" alt=\"Near-field HHG response at beam center\" \/><\/p><h4>Step 5 \u2013 Far-field detector<\/h4><p>Keep the <strong>default detector settings<\/strong>.<\/p><ul><li>If you modify the driving beam waist, remember to adjust the detector size accordingly.<\/li><\/ul><h4>Step 6 \u2013 Run the simulation<\/h4><p>Go to <strong>Simulation results<\/strong>:<\/p><ul><li>Using the <strong>increased calculation number (50,000)<\/strong>, and depending on your computer, the complete simulation may take <strong>10\u201330 minutes<\/strong>.<\/li><li>You can already start exploring <strong>partial results<\/strong> while the simulation is still running.<\/li><\/ul><h4>Analyze the results<\/h4><p>Focus on the <strong>center of the detector<\/strong> and examine the harmonic emission:<\/p><ul><li>The <strong>attosecond pulses are now much cleaner<\/strong> than in the single-atom case.<\/li><li>The <strong>time-frequency analysis<\/strong> shows that the <strong>short trajectory contribution dominates<\/strong> after macroscopic propagation.<\/li><li>This effect has been known in the HHG community since the 1990s (see for example <a href=\"https:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.74.3776\">Phys. Rev. Lett. <strong>74<\/strong>, 3776 (1995)<\/a>, <a href=\"https:\/\/journals.aps.org\/pra\/abstract\/10.1103\/PhysRevA.55.3204\">Phys. Rev. A <strong>55<\/strong>, 3204 (1997)<\/a>).<\/li><\/ul><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example1-step6.png\" alt=\"Cleaner attosecond pulses after macroscopic propagation\" \/><\/p><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example1-step6-02.png\" alt=\"Cleaner attosecond pulses after macroscopic propagation\" \/><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div id=\"e-n-tab-content-644974462\" role=\"tabpanel\" aria-labelledby=\"e-n-tab-title-644974462\" data-tab-index=\"2\" style=\"--n-tabs-title-order: 2;\" class=\" elementor-element elementor-element-b84531c e-con-full e-flex e-con e-child\" data-id=\"b84531c\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-7fdacb9 e-flex e-con-boxed e-con e-child\" data-id=\"7fdacb9\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d4d2628 elementor-widget elementor-widget-text-editor\" data-id=\"d4d2628\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3>Example 2: Exploring the orbital angular momentum conservation law in HHG driven by a vortex beam<\/h3><p>This example illustrates how the <strong>topological charge<\/strong> of high-order harmonics scales with that of an infrared <strong>driving vortex beam<\/strong>. This fundamental result was first predicted theoretically in <a href=\"https:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.111.083602\"><em>Phys. Rev. Lett.<\/em> 111 (8), 083602 (2013)<\/a> and later confirmed experimentally in <a href=\"https:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.113.153901\"><em>Phys. Rev. Lett.<\/em> 113 (15), 153901 (2014)<\/a>; <a href=\"https:\/\/www.nature.com\/articles\/ncomms12583\"><em>Nat. Commun.<\/em> 7, 12583 (2016)<\/a>; <a href=\"https:\/\/pubs.acs.org\/doi\/full\/10.1021\/acsphotonics.1c01768\"><em>ACS Photonics<\/em> 9 (3), 944\u2013951 (2022)<\/a>.<\/p><h4>Step 1 \u2013 Driving field<\/h4><p>Start with the predefined driving field parameters. To emulate an experiment, set a <strong>filter of 0.5 \u00b5m of Aluminum<\/strong> \u2192 this removes low-order harmonics.<\/p><h4>Step 2 \u2013 Driving laser beam<\/h4><p>Configure the <strong>driving vortex beam<\/strong>. Consider a <strong>Laguerre\u2013Gauss beam<\/strong> with <strong>topological charge l = 1<\/strong>, <strong>p = 0<\/strong>, and <strong>waist = 40 \u00b5m<\/strong>. This represents a typical experimental driving field.<\/p><ul><li><em>Tip:<\/em> In the <strong>driver spatial profile video<\/strong>, you can visualize how the <strong>spatial distribution of the real part of the electric field<\/strong> evolves during the laser pulse.<\/li><\/ul><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example2-step2.png\" alt=\"Laguerre\u2013Gauss vortex beam configuration\" \/><\/p><h4>Step 3 \u2013 Gas target<\/h4><p>Configure the gas jet as follows:<\/p><ul><li><strong>Thickness:<\/strong> 100 \u00b5m in X and Y, and 0 \u00b5m in Z \u2192 approximates an infinitesimally thin layer, ideal to study <strong>transverse phase-matching effects<\/strong> in structured beams.<\/li><li><strong>Distribution:<\/strong> homogeneous \u201cBox\u201d.<\/li><li><strong>Jet center:<\/strong> positioned at the focus \u2192 Z = 0 \u00b5m.<\/li><li>Increase the <strong>number of calculations<\/strong> (e.g., from 10,000 to 30,000) to ensure convergence for this test. (You can reduce it afterwards.)<\/li><\/ul><p><em>Tip:<\/em> By clicking on each atom position in the 3D view, you can inspect the <strong>driving field pulse<\/strong> at that location in the bottom panel.<\/p><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example2-step3.png\" alt=\"Gas target configuration for vortex-driven HHG\" \/><\/p><h4>Step 4 \u2013 Near-field HHG<\/h4><p>Inspect the single-atom HHG response along the <strong>Laguerre\u2013Gauss vortex beam<\/strong>.<\/p><ul><li>You\u2019ll see <strong>how the local phase of the vortex beam affects the single-atom HHG emission. <\/strong><\/li><\/ul><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example2-step4.png\" alt=\"Near-field HHG response along the vortex beam\" \/><\/p><h4>Step 5 \u2013 Far-field detector<\/h4><p>Keep the <strong>default detector settings<\/strong>, and:<\/p><ul><li>If you modify the driving beam waist, remember to adjust the detector size accordingly.<br \/>For this case of beam waist of 40 \u00b5m it is recommended that you <strong>increase the maximum divergence (theta_max) to at least 7 mrad.<\/strong><\/li><li>For vortex beams, ensure <strong>good resolution in the azimuthal direction<\/strong> to capture the OAM structure.<\/li><\/ul><h4>Step 6 \u2013 Run the simulation<\/h4><p>Go to <strong>Simulation results<\/strong>:<\/p><ul><li>Using the <strong>increased calculation number (30,000)<\/strong>, the full simulation, and depending on your computer, the complete simulation may take <strong>10\u201330 minutes.<\/strong><\/li><li>You can already start exploring <strong>partial results<\/strong> while the simulation is still running.<\/li><\/ul><h4>Analyze the results<\/h4><p>Focus on the <strong>ring of maximum intensity<\/strong> at the detector and examine the harmonic emission.<\/p><ul><li>In the <strong>far-field spatio-spectral profile<\/strong> you can see that the divergence of each harmonic order is very similar.<\/li><li>The <strong>spectral and temporal signatures<\/strong> (bottom panel) of the harmonic emission at different points along the ring are also similar. In this case we show the harmonic spectrum at a given point along the ring, in linear scale.<\/li><\/ul><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example2-step6.png\" alt=\"Running the simulation and exploring partial results\" \/><\/p><p>A particularly instructive step is to examine the <strong>spatial profile of each harmonic order:<\/strong><\/p><ol><li>In the \u00ab<strong>Far-field spatial profile\u00bb<\/strong> view, select the filter \u00ab<strong>Single harmonic\u00bb<\/strong>.<\/li><li>View the <strong>intensity profile<\/strong> (default) and then switch to \u00ab<strong>Show phase\u00bb<\/strong>.<\/li><li>You will observe that the <strong>number of 2\u03c0 phase shifts (topological charge)<\/strong> of each harmonic order <strong>scales linearly<\/strong> with that of the driving vortex beam.<\/li><\/ol><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example2-step6-02.png\" alt=\"Far-field ring and harmonic spectra characteristics\" \/><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div id=\"e-n-tab-content-644974463\" role=\"tabpanel\" aria-labelledby=\"e-n-tab-title-644974463\" data-tab-index=\"3\" style=\"--n-tabs-title-order: 3;\" class=\" elementor-element elementor-element-8a4f04a e-con-full e-flex e-con e-child\" data-id=\"8a4f04a\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-8554033 e-flex e-con-boxed e-con e-child\" data-id=\"8554033\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-802d3cb elementor-widget elementor-widget-text-editor\" data-id=\"802d3cb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3>Example 3: Generating high-order harmonic with a phased-necklace beam<\/h3><p>This example shows how to generate high-order harmonics with a <strong>phased-necklace beam<\/strong>, as reported in <a href=\"https:\/\/www.science.org\/doi\/full\/10.1126\/sciadv.abj7380\"><em>Science Advances<\/em> 8 (5), eabj7380 (2022)<\/a>. With this structured beam, it is possible to control both the <strong>harmonic line spacing<\/strong> and the <strong>divergence of the emission<\/strong>.<\/p><h4>Step 1 \u2013 Driving field<\/h4><ul><li>Use <strong>two laser pulses<\/strong> (use the control \u201cPulse number\u201d to adjust the parameters of each pulse).<\/li><li>To broaden the HHG spectrum, select <strong>Helium<\/strong> as the gas target.<\/li><li>Increase the driving field intensity:<ul><li>For a desired final intensity = <strong>4 \u00d7 10<sup>14<\/sup> W\/cm\u00b2<\/strong>, and assuming both pulses are identical, set the intensity of each pulse = <strong>1 \u00d7 10<sup>14<\/sup> W\/cm\u00b2<\/strong>.<\/li><\/ul><\/li><li>Keep the remaining parameters: <strong>wavelength = 800 nm<\/strong>, <strong>8 cycles<\/strong>.<\/li><\/ul><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example3-step1.png\" alt=\"Dual-pulse driving field configuration\" \/><\/p><h4>Step 2 \u2013 Driving laser beam<\/h4><p>Configure the phased-necklace driving beam.<\/p><ul><li>Set the desired maximum peak intensity (after coherent sum of the two modes) to <strong>5 \u00d7 10<sup>14<\/sup> W\/cm\u00b2<\/strong>.<\/li><li>Define the two <strong>Laguerre\u2013Gauss<\/strong> modes:<ul><li><strong>Pulse 1:<\/strong> Topological charge <strong>l = +2<\/strong>, <strong>p = 0<\/strong>, <strong>waist = 30 \u00b5m<\/strong>.<\/li><li><strong>Pulse 2:<\/strong> Topological charge <strong>l = \u22123<\/strong>, <strong>p = 0<\/strong>, <strong>waist = 30 \u00b5m<\/strong>.<\/li><\/ul><\/li><li><em>Tip:<\/em> In the <strong>driver spatial profile video<\/strong> (bottom right), you can visualize how the <strong>spatial distribution of the real part of the electric field<\/strong> evolves during the laser pulse.<\/li><\/ul><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example3-step2.png\" alt=\"Phased-necklace beam configuration\" \/><\/p><h4>Step 3 \u2013 Gas target<\/h4><p>Configure the gas jet as follows:<\/p><ul><li><strong>Thickness:<\/strong> 100 \u00b5m in X and Y, and 0 \u00b5m in Z \u2192 approximates an infinitesimally thin layer, ideal to study <strong>transverse phase-matching effects<\/strong> in structured beams.<\/li><li><strong>Distribution:<\/strong> homogeneous \u201cBox\u201d.<\/li><li><strong>Jet center:<\/strong> positioned at the focus \u2192 <strong>Z = 0 \u00b5m<\/strong>.<\/li><li>Increase the <strong>number of calculations<\/strong> (e.g., from 10,000 to 50,000) to ensure convergence in this test. (You can reduce it afterwards.)<\/li><\/ul><p><strong>Tip:<\/strong> by clicking on each atom position in the 3D view, you can inspect the <strong>driving field pulse<\/strong> at that location in the bottom panel.<\/p><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example3-step3.png\" alt=\"Gas target configuration for phased-necklace beam\" \/><\/p><h4>Step 4 \u2013 Near-field HHG<\/h4><p>Inspect the single-atom HHG response along the <strong>phased-necklace<\/strong>.<\/p><ul><li>Set the <strong>field limit minimum<\/strong> to <strong>5 \u00d7 10<sup>14<\/sup> W\/cm\u00b2<\/strong> to discard calculations whose HHG emission does not reach the higher-order harmonics. (We shall focus on harmonics above the <strong>40th<\/strong>.)<\/li><li>Observe how the local phase of each lobe influences the single-atom HHG emission.<\/li><\/ul><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example3-step4.png\" alt=\"Near-field HHG along phased-necklace beam\" \/><\/p><h4>Step 5 \u2013 Far-field detector<\/h4><p>We focus on the <strong>central (on-axis)<\/strong> region of the far-field detector:<\/p><ul><li>Set the <strong>minimum divergence<\/strong> (<code>theta_min<\/code>) to <strong>0.005 mrad<\/strong>.<\/li><li>Set the <strong>maximum divergence<\/strong> (<code>theta_max<\/code>) to <strong>0.3 mrad<\/strong>.<\/li><\/ul><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example3-step5.png\" alt=\"Far-field detector on-axis settings\" \/><\/p><h4>Step 6 \u2013 Run the simulation<\/h4><p>Go to <strong>Simulation results<\/strong>:<\/p><ul><li>Using the <strong>increased calculation number (50,000)<\/strong>, and depending on your computer, the complete simulation may take <strong>30\u201360 minutes<\/strong>. (This case is computationally heavier due to the complex phase-matching of the phased-necklace beam).<\/li><li>You can already start exploring <strong>partial results<\/strong> while the simulation is still running.<\/li><\/ul><h4>Analyze the results<\/h4><ul><li>Adjust the graphs to the <strong>spectral range of interest (40\u201380 harmonic orders)<\/strong>.<\/li><li>In the <strong>far-field spatial profile<\/strong>, select the <strong>on-axis position<\/strong> and examine the harmonic emission.<ul><li>Due to the selection rules in this case (<a href=\"https:\/\/www.science.org\/doi\/full\/10.1126\/sciadv.abj7380\"><em>Science Advances<\/em> 8 (5), eabj7380 (2022)<\/a>), the <strong>harmonic line spacing is fixed at 10 harmonic orders<\/strong>, so, starting from harmonic 40th, only <strong>45, 55, 65<\/strong> appear on-axis. The on-axis HHG spectrum is shown in linear scale, clearly revealing the three associated peaks.<\/li><\/ul><\/li><li>Inspect the <strong>intensity<\/strong> and <strong>phase profiles<\/strong> of the individual harmonic orders to study how the spatial structure of the phased-necklace beam shapes the HHG emission.<\/li><\/ul><p><img decoding=\"async\" src=\"https:\/\/laser.usal.es\/hhgstudio\/wp-content\/uploads\/2025\/10\/example3-step6.png\" alt=\"On-axis HHG spectrum with discrete harmonic lines\" \/><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-00cef83 e-flex e-con-boxed e-con e-parent\" data-id=\"00cef83\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-6843cd4 elementor-widget elementor-widget-menu-anchor\" data-id=\"6843cd4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"menu-anchor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-menu-anchor\" id=\"download\"><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0da3ccd elementor-widget elementor-widget-heading\" data-id=\"0da3ccd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Download HHG Studio<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a39e1b9 elementor-widget elementor-widget-text-editor\" data-id=\"a39e1b9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>HHG Studio is a software created by the <a href=\"https:\/\/laser.usal.es\/alf\">Laser Application and Photonics Group<\/a> of the <a href=\"https:\/\/usal.es\">University of Salamanca<\/a> with the support of the European Union\u2019s Horizon 2020 research and innovation programme (<a href=\"https:\/\/laser.usal.es\/attostructura\/en\/research\/general-information\/\" target=\"_blank\" rel=\"noopener\">grant agreement No 851201<\/a>). It is compatible with Windows, macOS and Linux, and can be downloaded and used for free. Please send the form below and we will send the download link to your email:<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8c48639 elementor-widget elementor-widget-text-editor\" data-id=\"8c48639\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>\n<div class=\"wpcf7 no-js\" id=\"wpcf7-f923-o1\" lang=\"es-ES\" dir=\"ltr\" data-wpcf7-id=\"923\">\n<div class=\"screen-reader-response\"><p role=\"status\" aria-live=\"polite\" aria-atomic=\"true\"><\/p> <ul><\/ul><\/div>\n<form action=\"\/hhgstudio\/wp-json\/wp\/v2\/pages\/302#wpcf7-f923-o1\" method=\"post\" class=\"wpcf7-form init\" aria-label=\"Formulario de contacto\" novalidate=\"novalidate\" data-status=\"init\">\n<fieldset class=\"hidden-fields-container\"><input type=\"hidden\" name=\"_wpcf7\" value=\"923\" \/><input type=\"hidden\" name=\"_wpcf7_version\" value=\"6.1.5\" \/><input type=\"hidden\" name=\"_wpcf7_locale\" value=\"es_ES\" \/><input type=\"hidden\" name=\"_wpcf7_unit_tag\" value=\"wpcf7-f923-o1\" \/><input type=\"hidden\" name=\"_wpcf7_container_post\" value=\"0\" \/><input type=\"hidden\" name=\"_wpcf7_posted_data_hash\" value=\"\" \/><input type=\"hidden\" name=\"_wpcf7_recaptcha_response\" value=\"\" \/>\n<\/fieldset>\n<p><label> Your name<br \/>\n<span class=\"wpcf7-form-control-wrap\" data-name=\"your-name\"><input size=\"40\" maxlength=\"400\" class=\"wpcf7-form-control wpcf7-text wpcf7-validates-as-required\" autocomplete=\"name\" aria-required=\"true\" aria-invalid=\"false\" value=\"\" type=\"text\" name=\"your-name\" \/><\/span> <\/label>\n<\/p>\n<p><label> Your email<br \/>\n<span class=\"wpcf7-form-control-wrap\" data-name=\"your-email\"><input size=\"40\" maxlength=\"400\" class=\"wpcf7-form-control wpcf7-email wpcf7-validates-as-required wpcf7-text wpcf7-validates-as-email\" autocomplete=\"email\" aria-required=\"true\" aria-invalid=\"false\" value=\"\" type=\"email\" name=\"your-email\" \/><\/span> <\/label>\n<\/p>\n<p><label> Your institution<br \/>\n<span class=\"wpcf7-form-control-wrap\" data-name=\"your-institution\"><input size=\"40\" maxlength=\"400\" class=\"wpcf7-form-control wpcf7-text wpcf7-validates-as-required\" aria-required=\"true\" aria-invalid=\"false\" value=\"\" type=\"text\" name=\"your-institution\" \/><\/span> <\/label>\n<\/p>\n<p><span class=\"wpcf7-form-control-wrap\" data-name=\"checkbox-396\"><span class=\"wpcf7-form-control wpcf7-checkbox wpcf7-validates-as-required\"><span class=\"wpcf7-list-item first last\"><label><input type=\"checkbox\" name=\"checkbox-396[]\" value=\"I accept to be added to a mailing list related to the software, that we will use to solve doubts and inform about new updates. 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