Mükemmel Elektrik İletkeni Yarım Düzlemle Düzlem Dalga Saçılımına Seri Çözüm

Year 2024, Volume: 16 Issue: 2, 603 - 610, 30.06.2024

Mustafa Mutlu

https://doi.org/10.29137/umagd.1386186

Abstract

Toplam saçılan alanı ifade etmek için Bessel serisi aracılığıyla düzlem dalgaların mükemmel elektrik iletken yüzeyin yarım düzlemi tarafından saçılması dikkate alınır. İlk olarak, gelen ve yansıyan alanların seri toplamı ve Helmhotz denkleminin çözümü kullanılarak Fresnel fonksiyonu cinsinden toplam saçılmış alan elde edilir. Daha sonra, Fresnel fonksiyonu birim adım fonksiyonuna ve işaret fonksiyonu çarpı Fresnel fonksiyonuna ayrıştırılır. Elde edilen dağınık, kırınımlı ve geometrik optik (GO) alanları sayısal olarak çizilmiştir. Saçılan, geometrik optiklerin, kırılan alanların davranışları elektromanyetik saçılma teorisi dikkate alınarak gözlemlenir ve yorumlanır. Gelen kırınıma uğramış ve yansıtılmış kırınıma sahip alanlardan oluşan kırınımlı alan, saçılmış alanla birlikte çizilmiştir. Kırılan alan bileşenleri (kırılan ve yansıtılan kırılan alanlar) Signum fonksiyonu ile Fresnel fonksiyonunun çarpımından elde edilir. Ayrıca geometrik optik (GO) alanı birim adım fonksiyonu ile ifade edilir.

Keywords

Kırınım, Helmholtz denklemi, Fresnel fonksiyonu, Saçılma

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