{"id":36611,"date":"2004-03-01T00:44:40","date_gmt":"2004-03-01T00:44:40","guid":{"rendered":"https:\/\/silvaco.com\/%e6%9c%aa%e5%88%86%e7%b1%bb\/design-of-optimal-spiral-inductors-in-expert\/"},"modified":"2026-10-15T14:23:13","modified_gmt":"2026-10-15T21:23:13","slug":"design-of-optimal-spiral-inductors-in-expert","status":"publish","type":"post","link":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/","title":{"rendered":"Design of Optimal Spiral Inductors in Expert"},"content":{"rendered":"<h1>Design of Optimal Spiral Inductors in Expert<\/h1>\n<p class=\"regular\" align=\"center\"><em>Goran Stojanovic, University of Novi Sad, Serbia<\/em><\/p>\n<p class=\"feature\"><strong>Introduction<\/strong><\/p>\n<p>One of the key components in many RF ICs applications is the inductor. It is very important that the inductor has optimal design, meaning optimal geometry with the best possible characteristics [1]. Our computer-aided optimization technique using geometric programming (GP) has been used to find the optimum design for spiral inductors with different layout [2-4]. The goal is selection of the best geometry of inductors to find optimal values of inductor parameters (the number of turns and layout dimensions) and then drawing layouts of optimal inductors. Silvaco\u00a0<strong><em>Expert<\/em><\/strong>\u00a0is a powerful tool for drawing spiral inductors with different mask geometry (square, octagonal or circular). In this paper we presents a simple way to draw layouts of optimal inductors in\u00a0<strong><em>Expert<\/em><\/strong>, without using parameterized cells.<\/p>\n<p class=\"feature\"><strong>Layout of Square Spiral Inductors<\/strong><\/p>\n<p>The purpose of\u00a0<em><strong>Expert<\/strong><\/em>\u00a0Wiring tool is to draw a wire in the active layer. In case of inductors we use Metal2 layer to draw all spiral conductor segments, Metal1 to draw underpass, and layer Via to link them. The current layer name is displayed in the Wire panel and all wires are built in this layer until altered. To run a wire, select\u00a0<strong>Tools &gt; Wiring<\/strong>\u2026 menu command. This launches the Wire panel, which can be seen in Figure 1. In this panel we enter input data for Wire width and Wire spacing, which are output results of our geometric programming optimization algorithm. When the wiring parameters are adapted, then drawing of inductor layout can start.<\/p>\n<p><img loading=\"lazy\" width=\"644\" height=\"800\" src=\"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_mar_2004_a2-e1611194790712.jpg\" class=\"cleaned-enfold-image\" alt=\"\" decoding=\"async\" loading=\"lazy\" \/><\/p>\n<p><a href=\"https:\/\/silvaco.com\/dynamicweb\/jsp\/downloads\/DownloadDocStepsAction.do?req=download&#038;nm=simstd_mar_2004_a2.pdf\" class=\"BGT-btn\" target=\"_blank\" rel=\"noopener noreferrer\">Download Simulation Standard<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Introduction<\/p>\n<p>One of the key components in many RF ICs applications is the inductor. It is very important that the inductor has optimal design, meaning optimal geometry with the best possible characteristics [1]. Our computer-aided optimization technique using geometric programming (GP) has been used to find the optimum design for spiral inductors with different layout [2-4]. The goal is selection of the best geometry of inductors to find optimal values of inductor parameters (the number of turns and layout dimensions) and then drawing layouts of optimal inductors. Silvaco\u00a0Expert\u00a0is a powerful tool for drawing spiral inductors with different mask geometry (square, octagonal or circular). In this paper we presents a simple way to draw layouts of optimal inductors in\u00a0Expert, without using parameterized cells.<\/p>\n","protected":false},"author":12,"featured_media":22138,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[7723],"tags":[],"class_list":["post-36611","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-simulation-standard-zh-hans","entry","has-media"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v28.7 (Yoast SEO v28.7) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Design of Optimal Spiral Inductors in Expert - Silvaco<\/title>\n<meta name=\"description\" content=\"One of the key components in many RF ICs applications is the inductor. It is very important that the inductor has optimal design\" \/>\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\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Design of Optimal Spiral Inductors in Expert\" \/>\n<meta property=\"og:description\" content=\"One of the key components in many RF ICs applications is the inductor. It is very important that the inductor has optimal design\" \/>\n<meta property=\"og:url\" content=\"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/\" \/>\n<meta property=\"og:site_name\" content=\"Silvaco\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/SilvacoSoftware\/\" \/>\n<meta property=\"article:published_time\" content=\"2004-03-01T00:44:40+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-10-15T21:23:13+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_mar_2004_a2-e1611194790712.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"644\" \/>\n\t<meta property=\"og:image:height\" content=\"800\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Casey Molver\" \/>\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=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Casey Molver\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/zh-hans\\\/simulation-standard-zh-hans\\\/design-of-optimal-spiral-inductors-in-expert\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/zh-hans\\\/simulation-standard-zh-hans\\\/design-of-optimal-spiral-inductors-in-expert\\\/\"},\"author\":{\"name\":\"Casey Molver\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/#\\\/schema\\\/person\\\/2763eb741ca5ac04477fdff50ed84c80\"},\"headline\":\"Design of Optimal Spiral Inductors in Expert\",\"datePublished\":\"2004-03-01T00:44:40+00:00\",\"dateModified\":\"2026-10-15T21:23:13+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/zh-hans\\\/simulation-standard-zh-hans\\\/design-of-optimal-spiral-inductors-in-expert\\\/\"},\"wordCount\":269,\"image\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/zh-hans\\\/simulation-standard-zh-hans\\\/design-of-optimal-spiral-inductors-in-expert\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/silvaco.com\\\/wp-content\\\/uploads\\\/simulationstandard\\\/simstd_mar_2004_a2-e1611194790712.jpg\",\"articleSection\":[\"Simulation Standard\"],\"inLanguage\":\"zh-CN\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/zh-hans\\\/simulation-standard-zh-hans\\\/design-of-optimal-spiral-inductors-in-expert\\\/\",\"url\":\"https:\\\/\\\/silvaco.com\\\/zh-hans\\\/simulation-standard-zh-hans\\\/design-of-optimal-spiral-inductors-in-expert\\\/\",\"name\":\"Design of Optimal Spiral Inductors in Expert - Silvaco\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/zh-hans\\\/simulation-standard-zh-hans\\\/design-of-optimal-spiral-inductors-in-expert\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/zh-hans\\\/simulation-standard-zh-hans\\\/design-of-optimal-spiral-inductors-in-expert\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/silvaco.com\\\/wp-content\\\/uploads\\\/simulationstandard\\\/simstd_mar_2004_a2-e1611194790712.jpg\",\"datePublished\":\"2004-03-01T00:44:40+00:00\",\"dateModified\":\"2026-10-15T21:23:13+00:00\",\"author\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/#\\\/schema\\\/person\\\/2763eb741ca5ac04477fdff50ed84c80\"},\"description\":\"One of the key components in many RF ICs applications is the inductor. It is very important that the inductor has optimal design\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/zh-hans\\\/simulation-standard-zh-hans\\\/design-of-optimal-spiral-inductors-in-expert\\\/#breadcrumb\"},\"inLanguage\":\"zh-CN\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/silvaco.com\\\/zh-hans\\\/simulation-standard-zh-hans\\\/design-of-optimal-spiral-inductors-in-expert\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-CN\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/zh-hans\\\/simulation-standard-zh-hans\\\/design-of-optimal-spiral-inductors-in-expert\\\/#primaryimage\",\"url\":\"https:\\\/\\\/silvaco.com\\\/wp-content\\\/uploads\\\/simulationstandard\\\/simstd_mar_2004_a2-e1611194790712.jpg\",\"contentUrl\":\"https:\\\/\\\/silvaco.com\\\/wp-content\\\/uploads\\\/simulationstandard\\\/simstd_mar_2004_a2-e1611194790712.jpg\",\"width\":644,\"height\":800},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/zh-hans\\\/simulation-standard-zh-hans\\\/design-of-optimal-spiral-inductors-in-expert\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/silvaco.com\\\/zh-hans\\\/%e9%a6%96%e9%a1%b5\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Design of Optimal Spiral Inductors in Expert\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/#website\",\"url\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/\",\"name\":\"Silvaco\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"zh-CN\"},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/#\\\/schema\\\/person\\\/2763eb741ca5ac04477fdff50ed84c80\",\"name\":\"Casey Molver\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-CN\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/3dba2e48e0c4a977ea23fa75d38750a7763843df78307070478340a2517b8d6b?s=96&d=blank&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/3dba2e48e0c4a977ea23fa75d38750a7763843df78307070478340a2517b8d6b?s=96&d=blank&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/3dba2e48e0c4a977ea23fa75d38750a7763843df78307070478340a2517b8d6b?s=96&d=blank&r=g\",\"caption\":\"Casey Molver\"},\"url\":\"https:\\\/\\\/silvaco.com\\\/zh-hans\\\/author\\\/caseym\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Design of Optimal Spiral Inductors in Expert - Silvaco","description":"One of the key components in many RF ICs applications is the inductor. It is very important that the inductor has optimal design","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/","og_locale":"zh_CN","og_type":"article","og_title":"Design of Optimal Spiral Inductors in Expert","og_description":"One of the key components in many RF ICs applications is the inductor. It is very important that the inductor has optimal design","og_url":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/","og_site_name":"Silvaco","article_publisher":"https:\/\/www.facebook.com\/SilvacoSoftware\/","article_published_time":"2004-03-01T00:44:40+00:00","article_modified_time":"2026-10-15T21:23:13+00:00","og_image":[{"width":644,"height":800,"url":"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_mar_2004_a2-e1611194790712.jpg","type":"image\/jpeg"}],"author":"Casey Molver","twitter_card":"summary_large_image","twitter_creator":"@SilvacoSoftware","twitter_site":"@SilvacoSoftware","twitter_misc":{"\u4f5c\u8005":"Casey Molver","\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/#article","isPartOf":{"@id":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/"},"author":{"name":"Casey Molver","@id":"https:\/\/silvaco.com\/ja\/#\/schema\/person\/2763eb741ca5ac04477fdff50ed84c80"},"headline":"Design of Optimal Spiral Inductors in Expert","datePublished":"2004-03-01T00:44:40+00:00","dateModified":"2026-10-15T21:23:13+00:00","mainEntityOfPage":{"@id":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/"},"wordCount":269,"image":{"@id":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/#primaryimage"},"thumbnailUrl":"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_mar_2004_a2-e1611194790712.jpg","articleSection":["Simulation Standard"],"inLanguage":"zh-CN"},{"@type":"WebPage","@id":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/","url":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/","name":"Design of Optimal Spiral Inductors in Expert - Silvaco","isPartOf":{"@id":"https:\/\/silvaco.com\/ja\/#website"},"primaryImageOfPage":{"@id":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/#primaryimage"},"image":{"@id":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/#primaryimage"},"thumbnailUrl":"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_mar_2004_a2-e1611194790712.jpg","datePublished":"2004-03-01T00:44:40+00:00","dateModified":"2026-10-15T21:23:13+00:00","author":{"@id":"https:\/\/silvaco.com\/ja\/#\/schema\/person\/2763eb741ca5ac04477fdff50ed84c80"},"description":"One of the key components in many RF ICs applications is the inductor. It is very important that the inductor has optimal design","breadcrumb":{"@id":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/#breadcrumb"},"inLanguage":"zh-CN","potentialAction":[{"@type":"ReadAction","target":["https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/"]}]},{"@type":"ImageObject","inLanguage":"zh-CN","@id":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/#primaryimage","url":"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_mar_2004_a2-e1611194790712.jpg","contentUrl":"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_mar_2004_a2-e1611194790712.jpg","width":644,"height":800},{"@type":"BreadcrumbList","@id":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/design-of-optimal-spiral-inductors-in-expert\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/silvaco.com\/zh-hans\/%e9%a6%96%e9%a1%b5\/"},{"@type":"ListItem","position":2,"name":"Design of Optimal Spiral Inductors in Expert"}]},{"@type":"WebSite","@id":"https:\/\/silvaco.com\/ja\/#website","url":"https:\/\/silvaco.com\/ja\/","name":"Silvaco","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/silvaco.com\/ja\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"zh-CN"},{"@type":"Person","@id":"https:\/\/silvaco.com\/ja\/#\/schema\/person\/2763eb741ca5ac04477fdff50ed84c80","name":"Casey Molver","image":{"@type":"ImageObject","inLanguage":"zh-CN","@id":"https:\/\/secure.gravatar.com\/avatar\/3dba2e48e0c4a977ea23fa75d38750a7763843df78307070478340a2517b8d6b?s=96&d=blank&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/3dba2e48e0c4a977ea23fa75d38750a7763843df78307070478340a2517b8d6b?s=96&d=blank&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/3dba2e48e0c4a977ea23fa75d38750a7763843df78307070478340a2517b8d6b?s=96&d=blank&r=g","caption":"Casey Molver"},"url":"https:\/\/silvaco.com\/zh-hans\/author\/caseym\/"}]}},"_links":{"self":[{"href":"https:\/\/silvaco.com\/zh-hans\/wp-json\/wp\/v2\/posts\/36611","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/silvaco.com\/zh-hans\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/silvaco.com\/zh-hans\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/silvaco.com\/zh-hans\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/silvaco.com\/zh-hans\/wp-json\/wp\/v2\/comments?post=36611"}],"version-history":[{"count":2,"href":"https:\/\/silvaco.com\/zh-hans\/wp-json\/wp\/v2\/posts\/36611\/revisions"}],"predecessor-version":[{"id":955510,"href":"https:\/\/silvaco.com\/zh-hans\/wp-json\/wp\/v2\/posts\/36611\/revisions\/955510"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/silvaco.com\/zh-hans\/wp-json\/wp\/v2\/media\/22138"}],"wp:attachment":[{"href":"https:\/\/silvaco.com\/zh-hans\/wp-json\/wp\/v2\/media?parent=36611"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/silvaco.com\/zh-hans\/wp-json\/wp\/v2\/categories?post=36611"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/silvaco.com\/zh-hans\/wp-json\/wp\/v2\/tags?post=36611"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}