{"id":28987,"date":"2013-10-01T15:18:06","date_gmt":"2013-10-01T15:18:06","guid":{"rendered":"https:\/\/silvaco.com\/uncategorized\/simulation-of-a-dbr-edge-emitting-laser-with-external-air-gap-tuning-mirror\/"},"modified":"2021-07-08T18:19:34","modified_gmt":"2021-07-09T01:19:34","slug":"simulation-of-a-dbr-edge-emitting-laser-with-external-air-gap-tuning-mirror","status":"publish","type":"post","link":"https:\/\/silvaco.com\/ja\/simulation-standard\/simulation-of-a-dbr-edge-emitting-laser-with-external-air-gap-tuning-mirror\/","title":{"rendered":"Simulation of a DBR Edge Emitting Laser with External Air Gap Tuning Mirror"},"content":{"rendered":"<div id='template_overview'  class='avia-section main_color avia-section-small avia-no-border-styling  avia-bg-style-scroll  avia-builder-el-0  el_before_av_section  avia-builder-el-first   container_wrap fullsize' style='background-color: #ffffff;  margin-top:0px; margin-bottom:0px; '  ><div class='container' ><main  role=\"main\" itemprop=\"mainContentOfPage\"  class='template-page content  av-content-full alpha units'><div class='post-entry post-entry-type-page post-entry-28987'><div class='entry-content-wrapper clearfix'>\n<div class='flex_column_table av-equal-height-column-flextable -flextable' style='margin-top:20px; margin-bottom:0px; '><div class=\"flex_column av_three_fourth  flex_column_table_cell av-equal-height-column av-align-top first  avia-builder-el-1  el_before_av_one_fourth  avia-builder-el-first  \" style='padding:0px 0px 0px 0px ; border-radius:0px; '><section class=\"av_textblock_section \"  itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/BlogPosting\" itemprop=\"blogPost\" ><div class='avia_textblock  '   itemprop=\"text\" ><h1>Simulation of a DBR Edge Emitting Laser with External Air Gap Tuning Mirror<\/h1>\n<p>A methodology for simulating an edge emitting laser is demonstrated that incorporates a distributed Bragg Re\ufb02ector (DBR) as one of the mirrors, with the other being a variable air gap external planar mirror that is used as a method for \ufb01ne tuning the lasing wavelength. This type of calculation requires non uniformity of the dielectric\u2019s static and dynamic (pumping) properties in both the transverse and longitudinal directions, together with self consistent coupling to the external tuning cavity. A key challenge addressed is the proper treatment of the open nature of the cavity, such that the amplitudes of the outgoing waves leaving the facets are consistent with the cavity interior and facet re\ufb02ectivity. Mode competition and hopping are natural consequences of the methodology developed. In the model developed here, the spatial hole burning effects, cross and self-saturation effects can be included while accounting for the degree of spatial overlap of modes. We also account for diffraction losses at the output facet which can become important in the case of strong index guiding.<\/p>\n<p>Key Words: Laser, DBR, External Mirror Air Gap Tuning Cavity, Effective Medium Method, Electro-Optic modulation<\/p>\n<h3>Introduction<\/h3>\n<p>Distributed Bragg re\ufb02ectors (DBR) play an important role in optical \ufb01ltering and as mirrors. They are used for frequency selective mirrors to shape the spectral response of laser cavities in both vertical cavity surface emitting and edge emitting lasers. DBRs employ Bragg re\ufb02ection to attenuate propagation of light through their grating structure, thus creating a highly re\ufb02ective band in their transmission function. Bragg re\ufb02ection is used to an opposite effect in distributed feedback lasers (DFB), in which the resonator modes are the Bragg waves allowed to propagate through the grating structure that extends over the entire cavity. However, the main structural aspect common to both types of lasers is the essential non-uniformity of their refractive index along the direction of mode propagation. Of critical importance to their operation and performance are also the pumping induced non-uniformity in their interior refractive index and optical intensity. An important aspect of all laser cavities is also the fact that they are open systems from which light escapes to the outside.<\/p>\n<\/div><\/section><\/div><div class='av-flex-placeholder'><\/div><div class=\"flex_column av_one_fourth  flex_column_table_cell av-equal-height-column av-align-top av-zero-column-padding   avia-builder-el-3  el_after_av_three_fourth  avia-builder-el-last  \" style='border-radius:0px; ' id=\"whitepaper\" ><p><div  class='avia-builder-widget-area clearfix  avia-builder-el-4  el_before_av_image  avia-builder-el-first '><div id=\"nav_menu-29\" class=\"widget clearfix widget_nav_menu\"><div class=\"menu-simulation-standard-side-menu-japanese-container\"><ul id=\"menu-simulation-standard-side-menu-japanese\" class=\"menu\"><li id=\"menu-item-26253\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-26253\"><a href=\"https:\/\/silvaco.com\/ja\/technical-library\/simulation-standard\/\">Simulation Standard<\/a><\/li>\n<\/ul><\/div><\/div><\/div><br \/>\n<div  class='avia-image-container  av-styling-    avia-builder-el-5  el_after_av_sidebar  el_before_av_button  avia-align-center '  itemprop=\"image\" itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/ImageObject\"  ><div class='avia-image-container-inner'><div class='avia-image-overlay-wrap'><a href=\"\/dynamicweb\/jsp\/downloads\/DownloadDocStepsAction.do?req=download&amp;nm=simstd_Q4_2013_a1.pdf \" class='avia_image' target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" width=\"232\" height=\"300\" class='wp-image-19580 avia-img-lazy-loading-not-19580 avia_image' src=\"https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2013_a1-232x300.jpg\" alt='' title='simstd_Q4_2013_a1'  itemprop=\"thumbnailUrl\" srcset=\"https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2013_a1-232x300.jpg 232w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2013_a1-768x994.jpg 768w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2013_a1-545x705.jpg 545w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2013_a1-29x37.jpg 29w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2013_a1-43x55.jpg 43w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2013_a1-37x48.jpg 37w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2013_a1.jpg 782w\" sizes=\"(max-width: 232px) 100vw, 232px\" \/><\/a><\/div><\/div><\/div><br \/>\n<div  class='avia-button-wrap avia-button-center  avia-builder-el-6  el_after_av_image  avia-builder-el-last ' ><a href='\/dynamicweb\/jsp\/downloads\/DownloadDocStepsAction.do?req=download&amp;nm=simstd_Q4_2013_a1.pdf ' class='avia-button  avia-color-grey   avia-icon_select-yes-right-icon avia-size-small avia-position-center ' target=\"_blank\" rel=\"noopener noreferrer\"><span class='avia_iconbox_title' >Download Simulation Standard<\/span><span class='avia_button_icon avia_button_icon_right' aria-hidden='true' data-av_icon='\ue875' data-av_iconfont='entypo-fontello'><\/span><\/a><\/div><\/p><\/div><\/div><!--close column table wrapper. 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Autoclose: 1 -->\n<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A methodology for simulating an edge emitting laser is demonstrated that incorporates a distributed Bragg Re\ufb02ector (DBR) as one of the mirrors, with the other being a variable air gap external planar mirror that is used as a method for \ufb01ne tuning the lasing wavelength. This type of calculation requires non uniformity of the dielectric\u2019s static and dynamic (pumping) properties in both the transverse and longitudinal directions, together with self consistent coupling to the external tuning cavity. A key challenge addressed is the proper treatment of the open nature of the cavity, such that the amplitudes of the outgoing waves leaving the facets are consistent with the cavity interior and facet re\ufb02ectivity. Mode competition and hopping are natural consequences of the methodology developed. In the model developed here, the spatial hole burning effects, cross and self-saturation effects can be included while accounting for the degree of spatial overlap of modes. We also account for diffraction losses at the output facet which can become important in the case of strong index guiding.<\/p>\n","protected":false},"author":5,"featured_media":19580,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7570],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.0 (Yoast SEO v24.0) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Simulation of a DBR Edge Emitting Laser with External Air Gap Tuning Mirror - \u30b7\u30eb\u30d0\u30b3\u30fb\u30b8\u30e3\u30d1\u30f3 : Silvaco Japan<\/title>\n<meta name=\"description\" content=\"A methodology for simulating an edge emitting laser is demonstrated that incorporates a distributed Bragg Re\ufb02ector (DBR) as one of the mirrors, with the other being a variable air gap external planar mirror that is used as a method for \ufb01ne tuning the lasing wavelength.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/silvaco.com\/ja\/simulation-standard\/simulation-of-a-dbr-edge-emitting-laser-with-external-air-gap-tuning-mirror\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Simulation of a DBR Edge Emitting Laser with External Air Gap Tuning Mirror\" \/>\n<meta property=\"og:description\" content=\"A methodology for simulating an edge emitting laser is demonstrated that incorporates a distributed Bragg Re\ufb02ector (DBR) as one of the mirrors, with the other being a variable air gap external planar mirror that is used as a method for \ufb01ne tuning the lasing wavelength.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/silvaco.com\/ja\/simulation-standard\/simulation-of-a-dbr-edge-emitting-laser-with-external-air-gap-tuning-mirror\/\" \/>\n<meta property=\"og:site_name\" content=\"\u30b7\u30eb\u30d0\u30b3\u30fb\u30b8\u30e3\u30d1\u30f3 : Silvaco Japan\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/SilvacoSoftware\/\" \/>\n<meta property=\"article:published_time\" content=\"2013-10-01T15:18:06+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-07-09T01:19:34+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2013_a1.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"782\" \/>\n\t<meta property=\"og:image:height\" content=\"1012\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Ingrid Schwarz\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@SilvacoSoftware\" \/>\n<meta name=\"twitter:site\" content=\"@SilvacoSoftware\" \/>\n<meta name=\"twitter:label1\" content=\"\u57f7\u7b46\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Ingrid Schwarz\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u63a8\u5b9a\u8aad\u307f\u53d6\u308a\u6642\u9593\" \/>\n\t<meta name=\"twitter:data2\" content=\"6\u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/silvaco.com\/ja\/simulation-standard\/simulation-of-a-dbr-edge-emitting-laser-with-external-air-gap-tuning-mirror\/\",\"url\":\"https:\/\/silvaco.com\/ja\/simulation-standard\/simulation-of-a-dbr-edge-emitting-laser-with-external-air-gap-tuning-mirror\/\",\"name\":\"Simulation of a DBR Edge Emitting Laser with External Air Gap Tuning Mirror - 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