{"id":302176,"date":"2023-08-18T16:37:53","date_gmt":"2023-08-18T16:37:53","guid":{"rendered":"\/forum\/forums\/reply\/302176\/"},"modified":"2023-08-18T20:06:45","modified_gmt":"2023-08-18T20:06:45","slug":"302176","status":"publish","type":"reply","link":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/302176\/","title":{"rendered":"Reply To: Bloch boundary condition"},"content":{"rendered":"<p>&lt;p&gt;&nbsp;&lt;\/p&gt;&lt;p&gt;&nbsp;&lt;\/p&gt;&lt;p&gt;Bloch Boundary condition is the general periodic boundary condition to ensure the angled plane wave is excited correctly:&lt;\/p&gt;&lt;p&gt;https:\/\/optics.ansys.com\/hc\/en-us\/articles\/360034382714-Bloch-boundary-conditions-in-FDTD-and-MODE&lt;\/p&gt;&lt;p&gt;If you check the theory for bloch modes, you will notice that the envelope is periodic however the wave has extra phase term, which is shown in the above link at the boundary only. eg&lt;\/p&gt;&lt;p&gt;<img decoding=\"async\" src=\"\/forum\/wp-content\/uploads\/sites\/2\/2023\/08\/18-08-2023-1692376411-mceclip0.png\" \/>&lt;\/p&gt;&lt;p&gt;and E(x) is spatially periodic as the normal periodic function when incident angle is zero.&lt;\/p&gt;&lt;p&gt;The commonly known &ldquo;periodic boundary condition&rdquo; is the special case of Bloch boundary condition.&lt;\/p&gt;&lt;p&gt;&nbsp;&lt;\/p&gt;&lt;p&gt;&nbsp;&lt;\/p&gt;<\/p>\n","protected":false},"template":"","class_list":["post-302176","reply","type-reply","status-publish","hentry"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"Bloch Boundary condition is the general periodic boundary condition to ensure the angled plane wave is excited correctly:https:\/\/optics.ansys.com\/hc\/en-us\/articles\/360034382714-Bloch-boundary-conditions-in-FDTD-and-MODEIf you check the theory for bloch modes, you will notice that the envelope is periodic however the wave has extra phase term, which is shown in the above link at the boundary only. egand E(x) is spatially\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/302176\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.10\" \/>\n\t\t<meta property=\"og:locale\" content=\"en_US\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Ansys Learning Forum | Ansys Innovation Space\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"Reply To: Bloch boundary condition | Ansys Learning Forum\" \/>\n\t\t<meta property=\"og:description\" content=\"Bloch Boundary condition is the general periodic boundary condition to ensure the angled plane wave is excited correctly:https:\/\/optics.ansys.com\/hc\/en-us\/articles\/360034382714-Bloch-boundary-conditions-in-FDTD-and-MODEIf you check the theory for bloch modes, you will notice that the envelope is periodic however the wave has extra phase term, which is shown in the above link at the boundary only. egand E(x) is spatially\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/302176\/\" \/>\n\t\t<meta property=\"og:image\" content=\"https:\/\/innovationspace.ansys.com\/forum\/forum\/wp-content\/uploads\/sites\/2\/2023\/08\/18-08-2023-1692376411-mceclip0.png\" \/>\n\t\t<meta property=\"og:image:secure_url\" content=\"https:\/\/innovationspace.ansys.com\/forum\/forum\/wp-content\/uploads\/sites\/2\/2023\/08\/18-08-2023-1692376411-mceclip0.png\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2023-08-18T16:37:53+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2023-08-18T20:06:45+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n\t\t<meta name=\"twitter:title\" content=\"Reply To: Bloch boundary condition | Ansys Learning Forum\" \/>\n\t\t<meta name=\"twitter:description\" content=\"Bloch Boundary condition is the general periodic boundary condition to ensure the angled plane wave is excited correctly:https:\/\/optics.ansys.com\/hc\/en-us\/articles\/360034382714-Bloch-boundary-conditions-in-FDTD-and-MODEIf you check the theory for bloch modes, you will notice that the envelope is periodic however the wave has extra phase term, which is shown in the above link at the boundary only. egand E(x) is spatially\" \/>\n\t\t<meta name=\"twitter:image\" content=\"https:\/\/innovationspace.ansys.com\/forum\/forum\/wp-content\/uploads\/sites\/2\/2023\/08\/18-08-2023-1692376411-mceclip0.png\" \/>\n\t\t<script type=\"application\/ld+json\" class=\"aioseo-schema\">\n\t\t\t{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/302176\\\/#breadcrumblist\",\"itemListElement\":[{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum#listItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/302176\\\/#listItem\",\"name\":\"Reply To: Bloch boundary condition\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/302176\\\/#listItem\",\"position\":2,\"name\":\"Reply To: Bloch boundary condition\",\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum#listItem\",\"name\":\"Home\"}}]},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/#organization\",\"name\":\"Ansys Learning Forum\",\"description\":\"Ansys Innovation Space\",\"url\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/302176\\\/#webpage\",\"url\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/302176\\\/\",\"name\":\"Reply To: Bloch boundary condition | Ansys Learning Forum\",\"description\":\"Bloch Boundary condition is the general periodic boundary condition to ensure the angled plane wave is excited correctly:https:\\\/\\\/optics.ansys.com\\\/hc\\\/en-us\\\/articles\\\/360034382714-Bloch-boundary-conditions-in-FDTD-and-MODEIf you check the theory for bloch modes, you will notice that the envelope is periodic however the wave has extra phase term, which is shown in the above link at the boundary only. egand E(x) is spatially\",\"inLanguage\":\"en-US\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/#website\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/302176\\\/#breadcrumblist\"},\"datePublished\":\"2023-08-18T16:37:53+00:00\",\"dateModified\":\"2023-08-18T20:06:45+00:00\"},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/#website\",\"url\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/\",\"name\":\"Ansys Learning Forum\",\"description\":\"Ansys Innovation Space\",\"inLanguage\":\"en-US\",\"publisher\":{\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/#organization\"}}]}\n\t\t<\/script>\n\t\t<!-- All in One SEO -->\n\n","aioseo_head_json":{"title":"Reply To: Bloch boundary condition | Ansys Learning Forum","description":"Bloch Boundary condition is the general periodic boundary condition to ensure the angled plane wave is excited correctly:https:\/\/optics.ansys.com\/hc\/en-us\/articles\/360034382714-Bloch-boundary-conditions-in-FDTD-and-MODEIf you check the theory for bloch modes, you will notice that the envelope is periodic however the wave has extra phase term, which is shown in the above link at the boundary only. egand E(x) is spatially","canonical_url":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/302176\/","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"BreadcrumbList","@id":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/302176\/#breadcrumblist","itemListElement":[{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/forum#listItem","position":1,"name":"Home","item":"https:\/\/innovationspace.ansys.com\/forum","nextItem":{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/302176\/#listItem","name":"Reply To: Bloch boundary condition"}},{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/302176\/#listItem","position":2,"name":"Reply To: Bloch boundary condition","previousItem":{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/forum#listItem","name":"Home"}}]},{"@type":"Organization","@id":"https:\/\/innovationspace.ansys.com\/forum\/#organization","name":"Ansys Learning Forum","description":"Ansys Innovation Space","url":"https:\/\/innovationspace.ansys.com\/forum\/"},{"@type":"WebPage","@id":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/302176\/#webpage","url":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/302176\/","name":"Reply To: Bloch boundary condition | Ansys Learning Forum","description":"Bloch Boundary condition is the general periodic boundary condition to ensure the angled plane wave is excited correctly:https:\/\/optics.ansys.com\/hc\/en-us\/articles\/360034382714-Bloch-boundary-conditions-in-FDTD-and-MODEIf you check the theory for bloch modes, you will notice that the envelope is periodic however the wave has extra phase term, which is shown in the above link at the boundary only. egand E(x) is spatially","inLanguage":"en-US","isPartOf":{"@id":"https:\/\/innovationspace.ansys.com\/forum\/#website"},"breadcrumb":{"@id":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/302176\/#breadcrumblist"},"datePublished":"2023-08-18T16:37:53+00:00","dateModified":"2023-08-18T20:06:45+00:00"},{"@type":"WebSite","@id":"https:\/\/innovationspace.ansys.com\/forum\/#website","url":"https:\/\/innovationspace.ansys.com\/forum\/","name":"Ansys Learning Forum","description":"Ansys Innovation Space","inLanguage":"en-US","publisher":{"@id":"https:\/\/innovationspace.ansys.com\/forum\/#organization"}}]},"og:locale":"en_US","og:site_name":"Ansys Learning Forum | Ansys Innovation Space","og:type":"article","og:title":"Reply To: Bloch boundary condition | Ansys Learning Forum","og:description":"Bloch Boundary condition is the general periodic boundary condition to ensure the angled plane wave is excited correctly:https:\/\/optics.ansys.com\/hc\/en-us\/articles\/360034382714-Bloch-boundary-conditions-in-FDTD-and-MODEIf you check the theory for bloch modes, you will notice that the envelope is periodic however the wave has extra phase term, which is shown in the above link at the boundary only. egand E(x) is spatially","og:url":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/302176\/","og:image":"https:\/\/innovationspace.ansys.com\/forum\/forum\/wp-content\/uploads\/sites\/2\/2023\/08\/18-08-2023-1692376411-mceclip0.png","og:image:secure_url":"https:\/\/innovationspace.ansys.com\/forum\/forum\/wp-content\/uploads\/sites\/2\/2023\/08\/18-08-2023-1692376411-mceclip0.png","article:published_time":"2023-08-18T16:37:53+00:00","article:modified_time":"2023-08-18T20:06:45+00:00","twitter:card":"summary_large_image","twitter:title":"Reply To: Bloch boundary condition | Ansys Learning Forum","twitter:description":"Bloch Boundary condition is the general periodic boundary condition to ensure the angled plane wave is excited correctly:https:\/\/optics.ansys.com\/hc\/en-us\/articles\/360034382714-Bloch-boundary-conditions-in-FDTD-and-MODEIf you check the theory for bloch modes, you will notice that the envelope is periodic however the wave has extra phase term, which is shown in the above link at the boundary only. egand E(x) is spatially","twitter:image":"https:\/\/innovationspace.ansys.com\/forum\/forum\/wp-content\/uploads\/sites\/2\/2023\/08\/18-08-2023-1692376411-mceclip0.png"},"aioseo_meta_data":{"post_id":"302176","title":null,"description":null,"keywords":null,"keyphrases":null,"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"content","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":null,"og_custom_url":null,"og_article_section":null,"og_article_tags":null,"twitter_use_og":true,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":[]},"graphName":"","isEnabled":true},"graphs":[]},"schema_type":"default","schema_type_options":null,"pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":null,"robots_max_videopreview":null,"robots_max_imagepreview":"large","priority":null,"frequency":null,"local_seo":null,"limit_modified_date":false,"created":"2024-10-28 17:49:43","updated":"2026-08-12 05:30:30","ai":null,"breadcrumb_settings":null,"seo_analyzer_scan_date":null},"aioseo_breadcrumb":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/innovationspace.ansys.com\/forum\" title=\"Home\">Home<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">&raquo;<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\tReply To: Bloch boundary condition\n\t\t<\/span><\/div>","aioseo_breadcrumb_json":[{"label":"Home","link":"https:\/\/innovationspace.ansys.com\/forum"},{"label":"Reply To: Bloch boundary condition","link":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/302176\/"}],"acf":[],"_links":{"self":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/replies\/302176","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/replies"}],"about":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/types\/reply"}],"version-history":[{"count":0,"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/replies\/302176\/revisions"}],"wp:attachment":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/media?parent=302176"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}