ÜÇ BOYUTLU ELEKTROMAGNETİK DAĞILIM PROBLEMLERİN MOMENT METOD ÇÖZÜMLER İÇİN ETKİN DALGACIK DÖNÜŞÜM YAKLAŞIMI

Year 2007, Volume: 5 Issue: 3, 22 - 25, 15.06.2007

Bahattin Kurt Mehmet Akın

Abstract

Dalgacık Matris Transform(DMT) yöntemi 3 boyutlu
saçıcılardaki elektromanyetik saçılım problemlerini incelemek için
genişletilmiştir. Geleneksel DMT’de dalgacık tekniklerinin uygulanabilmesi için
moment matrisinin kare olması ve boyutunun 2’nin tam katları olması gerekir. Ne
varki 3D problemlerinde genellikle moment matrisinin boyutu 2^m
biçiminde değildir ve geleneksel DMT’nin doğrudan uygulanması çok çözü-nürlülük
teknikleri açsından iyi sonuç vermeyebilir. Önerilen strateji ile DMT
yönteminin etkili uygulanması için moment matrisin boyutunun ikinin tam katları
olması gerekmez. Önerilen yaklaşımın geçerliliğini göstermek için matris
seyrekliği ve bağıl hata cinsinden elde edilen sayısal sonuçlar yayına
eklenmiştir.

Keywords

3D Saçılım, Dalgacık Matris Transform, Moment Metodu, Büyük Saçıcılar, Seyreklik

AN EFFECTIVE WAVELET TRANSFORM APPROACH FOR THE MOMENT METHOD SOLUTIONS OF 3D ELECTROMAGNETIC SCATTERING PROBLEMS

Abstract

The wavelet matrix transform(WMT) method has been
extended to study the electromagnetic scattering problems from 3D scatterers.
In conventional
WMT, the moment matrix must be square, and size of it has to be an integer
power of two for the wavelet techniques to be applicable. However, in 3D
scattering problems, generally, the moment matrix is not of size 2^m,
and direct application of the conventional WMT to the moment matrix may not
make sense in terms of multiresolution. With proposed strategy, size of the
moment matrix need not to be an integer power of two for the efficient
application of WMT method. Numerical
results in terms of matrix sparsity and relative error in reconstructed current
are provided to illustrate the validity of the 
proposed approach.

Keywords

3D Scattering, Wavelet Matrix Transform, Method of Moments, Large Scatterers, Sparsity

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