Scalar Wave Diffraction by a Perfectly Soft Infinitely Thin Circular Ring

Fatih DİKMEN; Ertuğrul KARAÇUHA

Article Details

Scalar Wave Diffraction by a Perfectly Soft Infinitely Thin Circular Ring

Authors:

Fatih DİKMEN | Ertuğrul KARAÇUHA

Publisher:

TUBITAK

Journal:

Turkish Journal of Electrical Engineering and Computer Science 2001 Vol.9 Issue 2, pp.199-220

Document Type:

Article

Publication Date:

1/2001

Document Language:

Turkish

Document ID (Org No.):

2000744382

Frequency:

Bimonthly

eISSN:

1303-6203

pISSN:

1300-0632

Abstract:

 

A new strong mathematically rigorous and numerically effective method  for solving the boundary value problem of scalar (for example  acoustic) wave diffraction by a perfectly soft (Dirichlet boundary  condition) infinitely thin circular ring is proposed.  The method is  based on the combination of the Orthogonal Polynomials Approach, and  on the ideas of the methods of analytical regularization.  As a result  of the suggested regularization procedure, 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 of ( ell2 ) square  summable sequences.  This equation can be solved numerically by means  of the truncation method with, in principle, any required accuracy.

 

A new strong mathematically rigorous and numerically effective method  for solving the boundary value problem of scalar (for example  acoustic) wave diffraction by a perfectly soft (Dirichlet boundary  condition) infinitely thin circular ring is proposed.  The method is  based on the combination of the Orthogonal Polynomials Approach, and  on the ideas of the methods of analytical regularization.  As a result  of the suggested regularization procedure, 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 of ( ell2 ) square  summable sequences.  This equation can be solved numerically by means  of the truncation method with, in principle, any required accuracy.

Article Details

Scalar Wave Diffraction by a Perfectly Soft Infinitely Thin Circular Ring

Authors: Fatih DİKMEN | Ertuğrul KARAÇUHA

Publisher: TUBITAK

Journal: Turkish Journal of Electrical Engineering and Computer Science 2001 Vol.9 Issue 2, pp.199-220

Document Type: Article

Publication Date: 1/2001

Document Language: Turkish

Document ID (Org No.): 2000744382

Frequency: Bimonthly

eISSN: 1303-6203

pISSN: 1300-0632

Issues

Authors:

Fatih DİKMEN | Ertuğrul KARAÇUHA

Publisher:

TUBITAK

Journal:

Turkish Journal of Electrical Engineering and Computer Science 2001 Vol.9 Issue 2, pp.199-220

Document Type:

Article

Publication Date:

1/2001

Document Language:

Turkish

Document ID (Org No.):

2000744382

Frequency:

Bimonthly

eISSN:

1303-6203

pISSN:

1300-0632