{"id":459,"date":"2023-06-17T02:27:16","date_gmt":"2023-06-17T02:27:16","guid":{"rendered":"https:\/\/physigeek.com\/tr\/dalga-girisim-fizigi\/"},"modified":"2023-06-17T02:27:16","modified_gmt":"2023-06-17T02:27:16","slug":"dalga-girisim-fizigi","status":"publish","type":"post","link":"https:\/\/physigeek.com\/tr\/dalga-girisim-fizigi\/","title":{"rendered":"Dalga giri\u015fimi (fizik)"},"content":{"rendered":"<p>Bu makale fizikte dalga giri\u015fiminin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece iki dalgan\u0131n giri\u015fiminin ne anlama geldi\u011fini, dalga giri\u015fiminin t\u00fcrlerini, dalga giri\u015fimi \u00f6rneklerini ve son olarak iki dalgan\u0131n giri\u015fimini a\u00e7\u0131klayan form\u00fcl\u00fc \u00f6\u011freneceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-interferencia-de-ondas\"><\/span> Dalga giri\u015fimi nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Fizikte <strong>dalga giri\u015fimi<\/strong> , iki veya daha fazla dalgan\u0131n birbirini ge\u00e7mesi durumunda ortaya \u00e7\u0131kan bir olgudur. Ba\u015fka bir deyi\u015fle, dalga giri\u015fimi, iki veya daha fazla dalgan\u0131n yeni bir dalga olu\u015fturmak \u00fczere \u00fcst \u00fcste gelmesinden olu\u015fur.<\/p>\n<p> Dolay\u0131s\u0131yla iki dalgan\u0131n giri\u015fiminden kaynaklanan dalga, orijinal dalgalar\u0131n toplam\u0131d\u0131r. B\u00f6ylece, iki giri\u015fim yapan dalgan\u0131n denklemini elde etmek i\u00e7in ilgili denklemleri toplaman\u0131z yeterlidir. A\u015fa\u011f\u0131da iki dalgan\u0131n giri\u015fiminin denkleminin ne oldu\u011funu g\u00f6rece\u011fiz.<\/p>\n<p> \u00d6rne\u011fin, suyla dolu bir g\u00f6lete iki ta\u015f atarsak, her bir ta\u015f\u0131n \u00e7arpmas\u0131 suda yay\u0131lacak bir dalga olu\u015fturacakt\u0131r. Daha sonra \u00fcretilen iki dalga kesi\u015fecek ve iki dalgan\u0131n giri\u015fimi meydana gelecek, b\u00f6ylece iki orijinal dalgan\u0131n toplam\u0131ndan ortaya \u00e7\u0131kan bir dalga olu\u015facakt\u0131r.<\/p>\n<p> Parazitin her t\u00fcrl\u00fc dalgada meydana gelebilecek fiziksel bir olay oldu\u011funu unutmay\u0131n: \u0131\u015f\u0131k dalgalar\u0131, radyo dalgalar\u0131, ses dalgalar\u0131 vb. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Tipos-de-interferencia-de-ondas\"><\/span> Dalga giri\u015fimi t\u00fcrleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Fizikte iki <strong>t\u00fcr dalga giri\u015fimi<\/strong> vard\u0131r:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Yap\u0131c\u0131 Dalga Giri\u015fimi<\/strong> \u2013 \u00dcst \u00fcste binen dalgalar ayn\u0131 fazda oldu\u011funda ortaya \u00e7\u0131kan bir t\u00fcr dalga giri\u015fimidir.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Y\u0131k\u0131c\u0131 Dalga Giri\u015fimi<\/strong> \u2013 Kesi\u015fen dalgalar antifazda oldu\u011funda ortaya \u00e7\u0131kan bir t\u00fcr dalga giri\u015fimidir.<\/span><\/li>\n<\/ul>\n<p> Her dalga giri\u015fimi t\u00fcr\u00fc a\u015fa\u011f\u0131da ayr\u0131nt\u0131l\u0131 olarak a\u00e7\u0131klanmaktad\u0131r. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Interferencia-de-ondas-constructiva\"><\/span> Yap\u0131c\u0131 dalga giri\u015fimi<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Yap\u0131c\u0131 dalga giri\u015fimi,<\/strong> ayn\u0131 frekansa sahip ve ayn\u0131 fazda olan iki veya daha fazla dalgan\u0131n \u00f6rt\u00fc\u015fmesi durumunda ortaya \u00e7\u0131kar. Bu nedenle, iki dalgan\u0131n yap\u0131c\u0131 giri\u015fiminden kaynaklanan dalga, daha b\u00fcy\u00fck genli\u011fe sahip bir dalgad\u0131r. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-constructive.png\" alt=\"yap\u0131c\u0131 dalga giri\u015fimi\" class=\"wp-image-9275\" width=\"477\" height=\"321\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-constructive-300x202.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-constructive-1024x690.png 1024w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-constructive-768x518.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-constructive.png 1102w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Interferencia-de-ondas-destructiva\"><\/span> Y\u0131k\u0131c\u0131 dalgalar\u0131n giri\u015fimi<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Y\u0131k\u0131c\u0131 dalga giri\u015fimi,<\/strong> ayn\u0131 frekansa sahip iki veya daha fazla antifaz (180\u00b0 faz d\u0131\u015f\u0131) dalga \u00f6rt\u00fc\u015ft\u00fc\u011f\u00fcnde meydana gelir. Bu nedenle, y\u0131k\u0131c\u0131 giri\u015fimden kaynaklanan dalga daha k\u00fc\u00e7\u00fck genli\u011fe sahip bir dalgad\u0131r; Bazen y\u0131k\u0131c\u0131 giri\u015fim s\u0131ras\u0131nda dalgalar birbirini iptal eder. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-destructrice.png\" alt=\"y\u0131k\u0131c\u0131 dalga giri\u015fimi\" class=\"wp-image-9278\" width=\"478\" height=\"205\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-destructrice-300x129.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-destructrice-1024x440.png 1024w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-destructrice-768x330.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-destructrice.png 1104w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-interferencias-de-ondas\"><\/span> Dalga giri\u015fimi \u00f6rnekleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Dalga giri\u015fiminin tan\u0131m\u0131n\u0131 ve farkl\u0131 dalga giri\u015fimi t\u00fcrlerinin neler oldu\u011funu g\u00f6rd\u00fckten sonra, kavram\u0131 tam olarak anlamak i\u00e7in bu fiziksel olgunun \u00f6rneklerini g\u00f6rece\u011fiz.<\/p>\n<p> A\u015fa\u011f\u0131da giri\u015fim yapan dalgalar\u0131n iki \u00f6rne\u011fini g\u00f6rebilirsiniz. \u0130lk \u00f6rnekte dalgalar birbirini iptal eder, dolay\u0131s\u0131yla bu y\u0131k\u0131c\u0131 dalga giri\u015fimidir. \u0130kinci \u00f6rnekte ise dalgalar daha b\u00fcy\u00fck genli\u011fe sahip bir dalga \u00fcretir ve dolay\u0131s\u0131yla dalgalar\u0131n giri\u015fimi yap\u0131c\u0131d\u0131r. <\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"360\" height=\"223\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exemples-dinterferences-dondes.gif\" alt=\"dalga giri\u015fimi \u00f6rnekleri (fizik)\" class=\"wp-image-9281\"><\/figure>\n<p> Dalga giri\u015fim olgusundan sonra ilk dalgalar\u0131n orijinal \u015fekillerini koruduklar\u0131n\u0131 ve kendi y\u00f6nlerinde yay\u0131lmaya devam ettiklerini unutmay\u0131n.<\/p>\n<p> Fizikte <strong>dalga s\u00fcperpozisyonu prensibi<\/strong> , iki veya daha fazla dalga aras\u0131ndaki giri\u015fimden kaynaklanan dalgan\u0131n, dalgalar\u0131n her birinin ayr\u0131 ayr\u0131 toplam\u0131 oldu\u011funu belirtir. Yukar\u0131daki \u015fekilde g\u00f6r\u00fcld\u00fc\u011f\u00fc gibi iki dalga birbirini ge\u00e7ti\u011finde \u00fcst \u00fcste binerek orijinal dalgalar\u0131n toplam\u0131 olan yeni bir dalga meydana getirirler.<\/p>\n<p> Son olarak, duran dalgalar\u0131n da giri\u015fim yapan iki dalgaya \u00f6rnek oldu\u011funu belirtmek gerekir. Asl\u0131nda duran dalgalar, iki dalgan\u0131n giri\u015fiminden geldikleri i\u00e7in \u00e7ok \u00f6zel \u00f6zelliklere sahip olduklar\u0131 i\u00e7in fizikte incelenen bir dalga t\u00fcr\u00fcd\u00fcr. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/physigeek.com\/tr\/duragan-dalga\/\">Duran dalgalar nelerdir?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-interferencia-de-ondas\"><\/span> Dalga Giri\u015fim Form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130ki dalgan\u0131n giri\u015fiminin form\u00fcl\u00fc, iki ba\u015flang\u0131\u00e7 dalgas\u0131n\u0131n denklemlerinin toplam\u0131 ile verilir. <strong>Dolay\u0131s\u0131yla iki dalgan\u0131n giri\u015fiminin denklemi y=2 A sin[k (x <sub>1<\/sub> +x <sub>2<\/sub> )\/2-\u03c9 t+\u03c6\/2] cos[k (x <sub>1<\/sub> -x <sub>2<\/sub> )\/2- \u03c6\/ 2]<\/strong> .<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d9125d78ba28773d8a8e0a1a0da8230e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle y=2\\cdot A\\cdot \\text{sin}\\left(\\frac{k(x_1+x_2)}{2}-\\omega\\cdot t+\\frac{\\phi}{2}\\ droite)\\text{cos}\\left(\\frac{k(x_1-x_2)}{2}-\\frac{\\phi}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"522\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-38461fc041e953482219abf5d4cce1cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> incelenen noktan\u0131n uzamas\u0131d\u0131r. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> orijinal dalgalar\u0131n genli\u011fidir. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> dalga say\u0131s\u0131d\u0131r. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-11e46ba8b122ff2ec557030bd2f06155_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_1,x_2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e7al\u0131\u015fma noktas\u0131 ile s\u0131ras\u0131yla dalga 1 ve dalga 2&#8217;nin oda\u011f\u0131 aras\u0131ndaki mesafedir. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fbffdce91996e0a17795d82e8e6996d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> a\u00e7\u0131sal frekans veya titre\u015fimdir. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> zaman\u0131n an\u0131d\u0131r. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-8358131e7f71b02f5a1b767b67603090_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\phi\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> iki ba\u015flang\u0131\u00e7 dalgas\u0131 aras\u0131ndaki zaman fark\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<p> Her iki giri\u015fim dalgas\u0131 da ayn\u0131 noktadan kaynaklan\u0131yorsa x <sub>1<\/sub> = x <sub>2<\/sub> = x&#8217;in ge\u00e7erli oldu\u011funu unutmay\u0131n. Dolay\u0131s\u0131yla b\u00f6yle bir durumda iki dalgan\u0131n giri\u015fiminin denklemi a\u015fa\u011f\u0131daki gibidir:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-89386ad637b14c93c411c4d53c775d09_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle y=2\\cdot A\\cdot \\text{sin}\\left(k\\cdot x-\\omega\\cdot t+\\frac{\\phi}{2}\\right)\\text{cos}\\left (\\frac{\\phi}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"320\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> Bir dalgan\u0131n dalga numaras\u0131n\u0131n ve a\u00e7\u0131sal frekans\u0131n\u0131n a\u015fa\u011f\u0131daki form\u00fcllerle hesapland\u0131\u011f\u0131n\u0131 unutmay\u0131n:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bd9a9c86ac7bfe615da6e49025b8b40f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}k=\\cfrac{2\\pi}{\\lambda}\\\\[4ex]\\omega=\\cfrac{2\\pi}{T}=2\\pi f\\end{ tableau}\" title=\"Rendered by QuickLaTeX.com\" height=\"104\" width=\"110\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> dalga say\u0131s\u0131d\u0131r. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-8c37d2f1acb1d49f3e5e655797880475_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> dalga boyudur. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fbffdce91996e0a17795d82e8e6996d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> a\u00e7\u0131sal frekans veya titre\u015fimdir. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7e093fd43ad2c244140c11afe4d4bdff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"T\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> as\u0131l nokta bu. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-f5844370b6482674a233a3063f762555_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p> frekanst\u0131r. <\/span><\/li>\n<\/ul>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u0130ki dalgan\u0131n giri\u015fimi i\u00e7in denklemin g\u00f6sterimine bak\u0131n<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Ayn\u0131 frekansa ve ayn\u0131 genli\u011fe sahip ancak belirli bir \u03c6 a\u00e7\u0131s\u0131nda faz fark\u0131na sahip iki yay\u0131lma dalgas\u0131n\u0131n denklemleri g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-0a41489f1ca067b0955dd725e0986cf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}y_1=A\\cdot \\text{sin}(k\\cdot x_1-\\omega\\cdot t)\\\\[3ex]y_2=A\\cdot \\text{sin}(k \\cdot x_2-\\omega\\cdot t+\\phi )\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"64\" width=\"226\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0130ki dalgan\u0131n giri\u015fiminden kaynaklanan dalga, iki sal\u0131n\u0131ml\u0131 dalgan\u0131n toplam\u0131d\u0131r, dolay\u0131s\u0131yla iki dalgan\u0131n giri\u015fim denklemi \u00f6nceki iki denklemin cebirsel toplam\u0131 olacakt\u0131r:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-3bf4f6e9cbead885e080c5275fd5b8a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}y=y_1+y_2\\\\[3ex]y=A\\cdot \\text{sin}(k\\cdot x_1-\\omega\\cdot t)+A\\cdot \\text{ sin}(k\\cdot x_2-\\omega\\cdot t+\\phi )\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"402\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Daha sonra a\u015fa\u011f\u0131daki trigonometrik form\u00fcl\u00fc uygulayaca\u011f\u0131z:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-709f860df485f9933890e923dc1318a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\text{sin}(A)+\\text{sin}(B)=2\\cdot \\text{sin}\\left(\\frac{A+B}{2}\\right)\\cdot\\ texte{cos}\\left(\\frac{AB}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"410\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> B\u00f6ylece \u00f6nceki trigonometrik form\u00fcl\u00fc uygulayarak iki dalgan\u0131n giri\u015fim denklemine ula\u015f\u0131yoruz: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-59ee4b2f6559532dfa119d290e3f1b59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle y=A\\text{sin}(kx_1-\\omega t)+A\\cdot \\text{sin}(kx_2-\\omega t+\\phi)\\\\[4ex ]\\displaystyle y=2A\\text{sin}\\left(\\frac{(kx_1-\\omega t)+(kx_2-\\omega t+\\phi)}{2}\\right)\\text{cos}\\left(\\ frac{(kx_1-\\omega t)-(kx_2-\\omega t+\\phi)}{2}\\right)\\\\[4ex]\\displaystyle y=2A\\text{sin}\\left(\\frac{k(x_1 +x_2)}{2}-\\omega t+\\frac{\\phi}{2}\\right)\\text{cos}\\left(\\frac{k(x_1-x_2)}{2}-\\frac{\\phi }{2}\\right)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"157\" width=\"636\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale fizikte dalga giri\u015fiminin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece iki dalgan\u0131n giri\u015fiminin ne anlama geldi\u011fini, dalga giri\u015fiminin t\u00fcrlerini, dalga giri\u015fimi \u00f6rneklerini ve son olarak iki dalgan\u0131n giri\u015fimini a\u00e7\u0131klayan form\u00fcl\u00fc \u00f6\u011freneceksiniz. Dalga giri\u015fimi nedir? Fizikte dalga giri\u015fimi , iki veya daha fazla dalgan\u0131n birbirini ge\u00e7mesi durumunda ortaya \u00e7\u0131kan bir olgudur. Ba\u015fka bir deyi\u015fle, dalga giri\u015fimi, iki &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/tr\/dalga-girisim-fizigi\/\"> <span class=\"screen-reader-text\">Dalga giri\u015fimi (fizik)<\/span> Devam\u0131 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-459","post","type-post","status-publish","format-standard","hentry","category-sinematik"],"yoast_head":"<!-- This site is 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