


{"id":163373,"date":"2021-10-25T19:02:45","date_gmt":"2021-10-25T19:02:45","guid":{"rendered":"\/forum\/forums\/topic\/question-on-s-matrix-and-mode-overlap-in-fde\/"},"modified":"2022-01-05T19:26:53","modified_gmt":"2022-01-05T19:26:53","slug":"question-on-s-matrix-and-mode-overlap-in-fde","status":"closed","type":"topic","link":"https:\/\/innovationspace.ansys.com\/forum\/forums\/topic\/question-on-s-matrix-and-mode-overlap-in-fde\/","title":{"rendered":"Question on S matrix and mode overlap in FDE"},"content":{"rendered":"<div class=\"Item-Body\">\n<div class=\"Message userContent\">\n<p>Hi All<\/p>\n<p>I&#039;m designing a Fiber-chip coupler and find a wired thing. <\/p>\n<p>From this example, <a href=\"https:\/\/support.lumerical.com\/hc\/en-us\/articles\/360042305354-Edge-coupler\" rel=\"nofollow\">https:\/\/support.lumerical.com\/hc\/en-us\/articles\/360042305354-Edge-coupler<\/a><\/p>\n<p>The definition of total coupling efficiency is mode overlap between fiber mode and the coupler mode times the adiabatic mode transfer efficiency from coupler tip mode to the waveguide mode. <\/p>\n<p>In the example project, there is no problem, the mode over lap is about 90%(or higher) and the total coupling efficiency is about 85%. So we can know that the adiabatic transfer efficiency is also higher than 90%. <\/p>\n<p>When I make some change on the structure, something wired happened. For example, deleting the three silicon nitride layers. The mode overlap will drop greatly, to about 50% (without fiber position optimization). However, the transmission efficiency (S21^2) is 70%. This is wired because follow the principle of coupler, the 70% should come from 50% times the adiabatic transfer efficiency. Even if the second efficiency is 100%, the result should not be 70%. <\/p>\n<p>Do someone know where this problem comes from? I&#039;m really confused&#8230;..<span class=\"safeEmoji nativeEmoji\">?<\/span><\/p>\n","protected":false},"template":"","class_list":["post-163373","topic","type-topic","status-closed","hentry","topic-tag-adiabatic","topic-tag-coupler-1","topic-tag-fiber"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"Hi AllI&#039;m designing a Fiber-chip coupler and find a wired thing. From this example, https:\/\/support.lumerical.com\/hc\/en-us\/articles\/360042305354-Edge-couplerThe definition of total coupling efficiency is mode overlap between fiber mode and the coupler mode times the adiabatic mode transfer efficiency from coupler tip mode to the waveguide mode. In the example project, there is no problem, the mode over\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/innovationspace.ansys.com\/forum\/forums\/topic\/question-on-s-matrix-and-mode-overlap-in-fde\/\" \/>\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=\"Question on S matrix and mode overlap in FDE | Ansys Learning Forum\" \/>\n\t\t<meta property=\"og:description\" content=\"Hi AllI&#039;m designing a Fiber-chip coupler and find a wired thing. From this example, https:\/\/support.lumerical.com\/hc\/en-us\/articles\/360042305354-Edge-couplerThe definition of total coupling efficiency is mode overlap between fiber mode and the coupler mode times the adiabatic mode transfer efficiency from coupler tip mode to the waveguide mode. In the example project, there is no problem, the mode over\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/innovationspace.ansys.com\/forum\/forums\/topic\/question-on-s-matrix-and-mode-overlap-in-fde\/\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2021-10-25T19:02:45+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2022-01-05T19:26:53+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n\t\t<meta name=\"twitter:title\" content=\"Question on S matrix and mode overlap in FDE | Ansys Learning Forum\" \/>\n\t\t<meta name=\"twitter:description\" content=\"Hi AllI&#039;m designing a Fiber-chip coupler and find a wired thing. From this example, https:\/\/support.lumerical.com\/hc\/en-us\/articles\/360042305354-Edge-couplerThe definition of total coupling efficiency is mode overlap between fiber mode and the coupler mode times the adiabatic mode transfer efficiency from coupler tip mode to the waveguide mode. In the example project, there is no problem, the mode over\" \/>\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\\\/topic\\\/question-on-s-matrix-and-mode-overlap-in-fde\\\/#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\\\/topics\\\/#listItem\",\"name\":\"Topics\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/topics\\\/#listItem\",\"position\":2,\"name\":\"Topics\",\"item\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/topics\\\/\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/topic-tag\\\/fiber\\\/#listItem\",\"name\":\"fiber\"},\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum#listItem\",\"name\":\"Home\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/topic-tag\\\/fiber\\\/#listItem\",\"position\":3,\"name\":\"fiber\",\"item\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/topic-tag\\\/fiber\\\/\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/topic\\\/question-on-s-matrix-and-mode-overlap-in-fde\\\/#listItem\",\"name\":\"Question on S matrix and mode overlap in FDE\"},\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/topics\\\/#listItem\",\"name\":\"Topics\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/topic\\\/question-on-s-matrix-and-mode-overlap-in-fde\\\/#listItem\",\"position\":4,\"name\":\"Question on S matrix and mode overlap in FDE\",\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/topic-tag\\\/fiber\\\/#listItem\",\"name\":\"fiber\"}}]},{\"@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\\\/topic\\\/question-on-s-matrix-and-mode-overlap-in-fde\\\/#webpage\",\"url\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/topic\\\/question-on-s-matrix-and-mode-overlap-in-fde\\\/\",\"name\":\"Question on S matrix and mode overlap in FDE | Ansys Learning Forum\",\"description\":\"Hi AllI'm designing a Fiber-chip coupler and find a wired thing. From this example, https:\\\/\\\/support.lumerical.com\\\/hc\\\/en-us\\\/articles\\\/360042305354-Edge-couplerThe definition of total coupling efficiency is mode overlap between fiber mode and the coupler mode times the adiabatic mode transfer efficiency from coupler tip mode to the waveguide mode. 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