İki Boyutlu Fotonik Kristallerde Elektromanyetik Dalga Yayılımı Frekanslarının Sonlu Farklar Yöntemiyle İncelenmesi

Öz

Bu çalışmada, iki boyutlu fotonik kristal yapılarda elektromanyetik dalga yayılımı frekansları incelenmektedir. Bu amaçla, Maxwell denklemleri kullanılarak elde edilen elektromanyetik dalga yayılımı denklemi sonlu farklar yöntemi ile çözülmektedir. Elektromanyetik dalga yayılımı temel frekansları %3,10 gibi düşük bir hata oranıyla elde edilmiştir.

Anahtar Kelimeler

• Elektromanyetik dalga yayılımı
• Fotonik kristaller
• Maxwell denklemleri
• Sonlu farklar yöntemi.

Investigation of Electromagnetic Wave Propagation Frequencies in Two-Dimensional Photonic Crystals with Finite Differences Method

Abstract

In this study, frequencies of electromagnetic wave propagation in two-dimensional photonic crystal structures are investigated. For this purpose, the electromagnetic wave propagation equation obtained by using Maxwell equations is solved with the finite differences method. The fundamental frequencies of electromagnetic wave propagation have been obtained with a low error rate of 3.10%.

Keywords

• Electromagnetic wave propagation
• Photonic crystals
• Maxwell equations
• Finite differences method.

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