Ayarlanabilir Parça Uzunluklarına Sahip 3-Parçalı Fotonik Kristallerde Elektromanyetik Dalgaların Frekans Analizi

Öz

Bu çalışmada, üçü 3-parçalı ve biri 2-parçalı olmak üzere dört farklı fotonik kristal yapıda elektromanyetik dalga yayılımı frekansları incelenmektedir. Ayrıca, bu yapıların parça uzunluklarının ve malzeme özelliği parametrelerinin (ε, µ) elektromanyetik dalga frekansları üzerindeki etkileri araştırılmaktadır. Fotonik kristal yapılar tek boyutlu (1D) olup bu yapılara ait parçalar farklı uzunluklara sahiptir. Parça uzunluklarındaki farklılıklar elektromanyetik dalga frekanslarının ayarlanabilmesine olanak sağlamaktadır. Fotonik kristal yapıların her bir parçasının malzeme özelliği parametreleri x-ekseni doğrultusunda ve bu parametrelerin varsayılan değerleri teorik olarak 1'den 2'ye doğru değer alacak biçimde değişmektedir. Dört farklı fotonik kristal yapı için elde edilen elektromanyetik dalga frekanslarının ilk üç moduna ilişkin değerler birbirinden farklıdır. Elektromanyetik dalga frekanslarının en düşük değerleri, en kısa birinci ve ikinci parça uzunluğuna sahip birinci fotonik kristal yapı (S1) için elde edilmektedir.

Anahtar Kelimeler

• Elektromanyetik dalga
• Frekans analizi
• Maxwell denklemleri
• Fotonik kristaller

Frequency Analysis of Electromagnetic Waves in Tripartite Photonic Crystals with Adjustable Part Lengths

Abstract

In this study, electromagnetic wave propagation frequencies are investigated in four different photonic crystal structures, three of which are tripartite and one of which is bipartite. In addition, the effects of part lengths and material property parameters (ε, µ) of these structures on electromagnetic wave frequencies are examined. The photonic crystal structures are one-dimensional (1D) and the parts of these structures have different lengths. Differences in the part lengths allow the electromagnetic wave frequencies to be adjusted. The material property parameters of each part of the photonic crystal structures change in the x-axis direction and the default values of these parameters theoretically change from 1 to 2. The values for the first three modes of electromagnetic wave frequencies obtained for four different photonic crystal structures are different from each other. The lowest values of the electromagnetic wave frequencies are obtained for the first photonic crystal structure (S1) with the shortest first and second part lengths.

Keywords

• Electromagnetic wave
• Frequency analysis
• Maxwell’s equations
• Photonic crystals

Kaynakça

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