Analytical regularization method for electromagnetic wave diffraction by axially symmetrical thin annular strips

Fatih DİKMEN; Yury Alexanderovich TUCHKIN

Makale detayları

Analytical regularization method for electromagnetic wave diffraction by axially symmetrical thin annular strips

Yazarlar:

Fatih DİKMEN | Yury Alexanderovich TUCHKIN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Electrical Engineering and Computer Science 2009 Vol.17 Issue 2, pp.107-124

Belge Tipi:

Makale

Yayın Tarihi:

1/2009

Belge Dili:

Türkçe

Document ID (Org No.):

2000744017

Sıklık:

İki Aylık

eISSN:

1303-6203

pISSN:

1300-0632

Özet:

 

A new mathematically rigorous and numerically efficient  method based on the combination of Orthogonal Polynomials Method, and  Analytical Regularization Method, for electromagnetic wave diffraction by a model structure for various antennae such as Fresnel zone plates is proposed.  It can be used as validation tool for the other (more general or less accurate) numerical methods and physical approaches.  The initial boundary value problem is equivalently reduced to the  infinite system of the linear algebraic equations of the second kind,  i.e. to an equation of the type (I+H) x=b in the space l2 with  compact operator H. This equation can be solved numerically by means  of truncation method with, in principle, any required accuracy.  Numerical results show that physical optics approximation may not be  valid, especially in diffraction by sources other than plane wave, as  it does not take into account the contribution of strip edges and  interaction of strips by means of traveling slow waves.

 

A new mathematically rigorous and numerically efficient  method based on the combination of Orthogonal Polynomials Method, and  Analytical Regularization Method, for electromagnetic wave diffraction by a model structure for various antennae such as Fresnel zone plates is proposed.  It can be used as validation tool for the other (more general or less accurate) numerical methods and physical approaches.  The initial boundary value problem is equivalently reduced to the  infinite system of the linear algebraic equations of the second kind,  i.e. to an equation of the type (I+H) x=b in the space l2 with  compact operator H. This equation can be solved numerically by means  of truncation method with, in principle, any required accuracy.  Numerical results show that physical optics approximation may not be  valid, especially in diffraction by sources other than plane wave, as  it does not take into account the contribution of strip edges and  interaction of strips by means of traveling slow waves.

Makale detayları

Analytical regularization method for electromagnetic wave diffraction by axially symmetrical thin annular strips

Yazarlar: Fatih DİKMEN | Yury Alexanderovich TUCHKIN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Electrical Engineering and Computer Science 2009 Vol.17 Issue 2, pp.107-124

Belge Tipi: Makale

Yayın Tarihi: 1/2009

Belge Dili: Türkçe

Document ID (Org No.): 2000744017

Sıklık: İki Aylık

eISSN: 1303-6203

pISSN: 1300-0632

Sayı

Yazarlar:

Fatih DİKMEN | Yury Alexanderovich TUCHKIN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Electrical Engineering and Computer Science 2009 Vol.17 Issue 2, pp.107-124

Belge Tipi:

Makale

Yayın Tarihi:

1/2009

Belge Dili:

Türkçe

Document ID (Org No.):

2000744017

Sıklık:

İki Aylık

eISSN:

1303-6203

pISSN:

1300-0632