{"id":355,"date":"2018-11-20T07:51:09","date_gmt":"2018-11-20T07:51:09","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=355"},"modified":"2024-02-10T15:30:42","modified_gmt":"2024-02-10T14:30:42","slug":"the-calculator-encyclopedia-solves-for-input-and-output-reflection-coefficients-power-gains-and-mismatch-factors-of-s-parameters-in-microwave-analysis","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2018\/11\/20\/the-calculator-encyclopedia-solves-for-input-and-output-reflection-coefficients-power-gains-and-mismatch-factors-of-s-parameters-in-microwave-analysis\/","title":{"rendered":"The Calculator Encyclopedia Solves For Input and Output Reflection Coefficients, Power Gains and Mismatch Factors of S Parameters in Microwave Analysis"},"content":{"rendered":"<p>Microwave analysis typically refers to the process of analyzing electromagnetic waves within the microwave frequency range, typically ranging from around 1 gigahertz (GHz) to 300 gigahertz (GHz). It involves studying the behavior of microwave components, transmission lines, antennas, and circuits, often focusing on parameters such as S-parameters, reflection coefficients, transmission coefficients, and power gain. Leveraging a powerful calculator for Microwave analysis is crucial for an Electronic Engineer.<\/p>\n<p>The knowledge of microwave analysis itself makes one better understand the networking system of a <strong>two port <\/strong>in relation to S parameter. According to <a href=\"https:\/\/en.wikipedia.org\/wiki\/Scattering_parameters\">Wikipedia<\/a>, the <strong>S Parameters<\/strong>\u00a0describe the electrical behavior of\u00a0<a class=\"mw-redirect\" title=\"Linear\" href=\"https:\/\/en.wikipedia.org\/wiki\/Linear\">linear<\/a>\u00a0<a title=\"Electrical network\" href=\"https:\/\/en.wikipedia.org\/wiki\/Electrical_network\">electrical networks<\/a>\u00a0when undergoing various\u00a0<a title=\"Steady state\" href=\"https:\/\/en.wikipedia.org\/wiki\/Steady_state\">steady state<\/a>\u00a0stimuli by electrical signals.<\/p>\n<p>Luckily, <strong>Nickzom Calculator<\/strong>, the calculator encyclopedia is happy to take care of all calculations dealing with S Parameter (Two Port Network) for you and also show you a step by step guide (workings) on how to solve this problem.<\/p>\n<h3>How to Solve Input and Output Reflection Coefficients, Power Gains and Mismatch Factors of S Parameters in Microwave Analysis with Nickzom Calculator<\/h3>\n<p>For the purpose of this post, I would show you how <strong>Nickzom Calculator<\/strong> solves for the following:<\/p>\n<ul>\n<li>Input and Output Reflection Coefficients<\/li>\n<li>Various Power Gains<\/li>\n<li>Mismatch Factors<\/li>\n<\/ul>\n<p>First of all, you have to have access to the software package.<\/p>\n<p>One can access Nickzom Calculator+ (Professional Version) \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong>\u00a0via any of these channels:<\/p>\n<p>Web \u2013\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator-plus\">https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n<p>Android (Paid) \u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a><\/p>\n<p>Apple (Paid) \u2013\u00a0<a href=\"https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8\">https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><\/p>\n<h3>Steps to use the Niczom Calculator for Microwave Analysis<\/h3>\n<p>Once you have got access to the software package, please proceed to the <strong>Calculator Map<\/strong> then scroll to <strong>Engineering<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-356 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-142-1024x576.png\" alt=\"The Calculator Encyclopedia Solves For Input and Output Reflection Coefficients, Power Gains and Mismatch Factors of S Parameters in Microwave Analysis\" width=\"800\" height=\"450\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-142-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-142-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-142-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-142.png 1366w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><!--more--><\/p>\n<p>On clicking <strong>Microwave Analysis,<\/strong> you see<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-357\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-143-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-143-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-143-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-143-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-143.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>Click on the link <strong>S Parameter | Two Port Network.<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-358 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-144-1024x576.png\" alt=\"The Calculator Encyclopedia Solves For Input and Output Reflection Coefficients, Power Gains and Mismatch Factors of S Parameters in Microwave Analysis\" width=\"800\" height=\"450\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-144-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-144-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-144-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-144.png 1366w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Now, click on Input and Output Reflection Coefficients, the Various Power Gains and Mismatch Factors<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-359\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-145-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-145-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-145-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-145-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-145.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/> <img decoding=\"async\" class=\"alignnone size-large wp-image-360\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-146-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-146-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-146-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-146-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-146.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>You should know that the <strong>S<\/strong> in S Parameter stands for <strong>Scattering<\/strong> parameter<\/p>\n<p>Since, we are dealing with a two port network, it would be a <strong>Two by Two<\/strong> matrix. At this stage, one is required to select the whether the value for the parameters are to be in <strong>polar<\/strong> coordinates or <strong>rectangular<\/strong> coordinates.<\/p>\n<p>After making the required selections, click on <strong>Calculate<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-361 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-147-1024x576.png\" alt=\"The Calculator Encyclopedia Solves For Input and Output Reflection Coefficients, Power Gains and Mismatch Factors of S Parameters in Microwave Analysis\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-147-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-147-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-147-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-147.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>Now, enter the appropriate values<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-362\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-148-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-148-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-148-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-148-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-148.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>Lastly, simply click on Calculate for <strong>Nickzom Calculator\u00a0<\/strong>to do what it does best, display the result with workings, and accurate solutions and formulas. In the case of this post, I will be displaying the result in the form of a video. Watch and Enjoy!<\/p>\n<div style=\"width: 1200px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-355-1\" width=\"1200\" height=\"646\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/2018-11-20-at-08-38-39.mp4?_=1\" \/><a href=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/2018-11-20-at-08-38-39.mp4\">https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/2018-11-20-at-08-38-39.mp4<\/a><\/video><\/div>\n<p>Easily, you get the answer for your computations in <strong>Microwave Analysis<\/strong> using Nickzom Calculator.<\/p>\n<h3>Types of S Parameters<\/h3>\n<p><strong>Additional Knowledge<\/strong> from <a href=\"https:\/\/www.microwaves101.com\/encyclopedias\/s-parameters\">Microwaves 101<\/a>, tells us that there are <strong>4<\/strong> types of S parameters which are:<\/p>\n<ul>\n<li><strong>Small signal S-parameters<\/strong>\u00a0are what we are talking about 99% of the time. By small signal, we mean that the signals have only linear effects on the network, small enough so that gain compression or other non-linear effects do not take place. For passive networks, small-signal is all you have to worry about, because they act linearly at any power level (at least until you blow them up).<\/li>\n<li><strong>Large signal S-parameters<\/strong>\u00a0are more complicated. In this case, the S-matrix will vary depending upon the input signal strength. Measuring and modeling large signal S-parameters will not be described on this page (perhaps we will get into that someday).<\/li>\n<li><strong>Mixed-mode S-parameters<\/strong>\u00a0refer to a special case of analyzing balanced circuits. We&#8217;re not going to get into that either!<\/li>\n<li><strong>Pulsed S-parameters<\/strong>\u00a0are measured on power devices so that an accurate representation is captured before the device heats up. This is a tricky measurement, and not something we&#8217;re gonna tackle yet.<\/li>\n<\/ul>\n<p>Networks that can be described with S-parameters are usually single-frequency networks. <strong>Receivers<\/strong> and <strong>mixers<\/strong> aren&#8217;t referred to as having S-parameters, although you can certainly measure the reflection coefficients at each port and refer to these parameters as S-parameters. The trouble comes when one wishes to describe the frequency-conversion properties and this is not possible using S-parameters.<\/p>\n","protected":false},"excerpt":{"rendered":"Microwave analysis typically refers to the process of analyzing electromagnetic waves within the microwave frequency range, typically ranging&hellip;","protected":false},"author":1,"featured_media":12141,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":"","_members_access_role":[],"_members_access_error":""},"categories":[47,4],"tags":[84,60,158,154,150,157,87,156,155,152,151,153],"class_list":["post-355","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","category-mathematics","tag-calculator-encyclopedia","tag-engineering","tag-ieee","tag-input-and-output","tag-microwave-analysis","tag-mismatch-factors","tag-nickzom-calculator","tag-power-gain","tag-reflection-coefficient","tag-s-parameters","tag-scattering-parameters","tag-two-port-network","cs-entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>The Calculator Encyclopedia Solves For Input and Output Reflection Coefficients, Power Gains and Mismatch Factors of S Parameters in Microwave Analysis<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.nickzom.org\/blog\/2018\/11\/20\/the-calculator-encyclopedia-solves-for-input-and-output-reflection-coefficients-power-gains-and-mismatch-factors-of-s-parameters-in-microwave-analysis\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The Calculator Encyclopedia Solves For Input and Output Reflection Coefficients, Power Gains and Mismatch Factors of S Parameters in Microwave Analysis\" \/>\n<meta property=\"og:description\" content=\"Microwave analysis 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