Exact solution of conducting half plane problems in terms of a rapidly convergent series and an application of the multiplicative calculus

ALİ UZER

Makale detayları

Exact solution of conducting half plane problems in terms of a rapidly convergent series and an application of the multiplicative calculus

Yazarlar:

ALİ UZER

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Electrical Engineering and Computer Science 2015 Vol.23 Issue 5, pp.1294-1311

Belge Tipi:

Makale

Yayın Tarihi:

8/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000742469

Sıklık:

İki Aylık

eISSN:

1303-6203

pISSN:

1300-0632

Özet:

 

The problem of cylindrical wave incidence on a conducting half plane has been considered. A modal solution for Green's function of the problem is transformed into contour integral representations in a complex plane. Some contour deformations and changes of variables are then made for the integrals. Finally, the resultant integrals are transformed back into a series, which converges rapidly to the exact solution when the observation angles are close to the reflection/shadow boundaries (RSBs) of the conducting half plane. The multiplicative calculus is employed in deriving an expression that can be used for obtaining approximate solutions when the observation angles are away from the RSBs of the conducting half plane. The derived expressions are seen to be very simple for implementing in any computational environment.

 

The problem of cylindrical wave incidence on a conducting half plane has been considered. A modal solution for Green's function of the problem is transformed into contour integral representations in a complex plane. Some contour deformations and changes of variables are then made for the integrals. Finally, the resultant integrals are transformed back into a series, which converges rapidly to the exact solution when the observation angles are close to the reflection/shadow boundaries (RSBs) of the conducting half plane. The multiplicative calculus is employed in deriving an expression that can be used for obtaining approximate solutions when the observation angles are away from the RSBs of the conducting half plane. The derived expressions are seen to be very simple for implementing in any computational environment.

Makale detayları

Exact solution of conducting half plane problems in terms of a rapidly convergent series and an application of the multiplicative calculus

Yazarlar: ALİ UZER

Yayıncı: TUBITAK

Dergi: Turkish Journal of Electrical Engineering and Computer Science 2015 Vol.23 Issue 5, pp.1294-1311

Belge Tipi: Makale

Yayın Tarihi: 8/2015

Belge Dili: Türkçe

Document ID (Org No.): 2000742469

Sıklık: İki Aylık

eISSN: 1303-6203

pISSN: 1300-0632

Sayı

Yazarlar:

ALİ UZER

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Electrical Engineering and Computer Science 2015 Vol.23 Issue 5, pp.1294-1311

Belge Tipi:

Makale

Yayın Tarihi:

8/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000742469

Sıklık:

İki Aylık

eISSN:

1303-6203

pISSN:

1300-0632