The Diffraction of the Bessel Beams from a Half Screen with Boundary Diffraction Wave Theory

Year 2019, Volume: 24 Issue: 1, 331 - 342, 30.04.2019

Uğur Yalçın

https://doi.org/10.17482/uumfd.330411

Cited By: 1

Abstract

In this study,
the behavior of Bessel beams diffracted from the edge of a black half-plane was
examined using the Boundary Diffraction Wave Theory (BDWT). Firstly, the vector
potential was rearranged in relation to Helmholtz-Kirchoff integral for the diffraction
of Bessel beams from the black half-plane. By using this vector potential, the
BDWT diffraction integral was obtained and the diffracted fields were
calculated. Then, the related coordinate transformations were made and the
diffracted fields were obtained in spherical coordinates. Additionally, the
behavior of the diffracted fields and Bessel beams was evaluated by
interpreting the numerically derived graphs.

Keywords

Boundary Diffraction Wave Theory, Bessel beams, Helmholtz-Kirchoff integral, Diffracted fields

SINIR KIRINIM DALGASI TEORİSİ İLE YARIM DÜZLEMDEN BESSEL IŞINLARININ KIRINIMI

Abstract

Bu çalışmada, Sınır Kırınım Dalgası Teorisi
(SKDT) yaklaşımı kullanılarak yutucu bir yarım düzlemin kenarından kırınan
Bessel ışınlarının davranışı incelenmiştir. İlk olarak, vektör potansiyeli,
Bessel ışınlarının yutucu yarım düzlemden kırınımı için, Helmholtz-Kirchoff
integraliyle bağlantılı olarak yeniden düzenlenmiştir. Bu vektör
potansiyelinden yola çıkılarak SKDT kırınım integrali elde edilmiş ve kırınan
alanlar hesaplanmıştır. Daha sonra, ilgili koordinat dönüşümleri yapılarak
kırınan alanlar küresel koordinatlarda elde edilmiştir. Ayrıca, Bessel
ışınlarının ve hesaplanan kırınan alanların davranışı sayısal olarak elde edilen
grafikler değerlendirilerek yorumlanmıştır.

Keywords

: Sınır Kırınım Dalgası Teorisi, Bessel ışınları, Helmholtz-Kirchoff integrali, Kırınan Alanlar

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