The linear method for solving the scattering problem in an inhomegeneous medium: the case of TE polarized

Gülten TORUN

Article Details

The linear method for solving the scattering problem in an inhomegeneous medium: the case of TE polarized

Authors:

Gülten TORUN

Publisher:

Nihat AKGÜNEŞ

Journal:

Ikonion Journal of Mathematics 2019 Vol.1 Issue 2, pp.1-26

Document Type:

Article

Publication Date:

10/2019

Document Language:

English

Document ID (Org No.):

2000468611

Frequency:

Bi-Annual

pISSN:

2687-6531

Abstract:

 


 In this article,
the electromagnetic waves scattered from an inhomogeneous medium are considered
when the electromagnetic waves are polarized in the case of transverse
electric. Using the Rellich lemma, the uniqueness of the solution of the direct
scattering problem is proved. In order to show the existence of the solution of
this problem, the operator equations are constructed and the Riesz theory which
provides the existence of the inverse operator is used. Furthermore, for
solution of  the invers scattering
problems, an interior boundary value problem is considered. Finally, a linear
integral equation is obtained whose the solution yield the support of  the scattering object.


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Article Details

The linear method for solving the scattering problem in an inhomegeneous medium: the case of TE polarized

Authors: Gülten TORUN

Publisher: Nihat AKGÜNEŞ

Journal: Ikonion Journal of Mathematics 2019 Vol.1 Issue 2, pp.1-26

Document Type: Article

Publication Date: 10/2019

Document Language: English

Document ID (Org No.): 2000468611

Frequency: Bi-Annual

pISSN: 2687-6531

Issues

Authors:

Gülten TORUN

Publisher:

Nihat AKGÜNEŞ

Journal:

Ikonion Journal of Mathematics 2019 Vol.1 Issue 2, pp.1-26

Document Type:

Article

Publication Date:

10/2019

Document Language:

English

Document ID (Org No.):

2000468611

Frequency:

Bi-Annual

pISSN:

2687-6531