Time-domain mapping of electromagnetic ray movement inside 2D anisotropic region

Date

2002-06-01

Author

Biber, A
Golick, A
Tomak, Mehmet

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

133
views

0
downloads

The paper presents the extension of the time-domain mapping method applied to 2D billiard problem inside an anisotropic region bounded by ellipse [1]. In this paper, it has been considered the ray movement inside 2D anisotropic region bounded by arbitrary differentiable curve. It has been proved that the problem can be one-to-one mapped onto 2D mathemeatical billiard problem inside the region possessing isotropic properties by linear transformation of group velocity hodograph and boundary with the same coefficient, which is equal to anisotropy of the ray group velocity, simultaneously. The main features of the ray movement inside 2D anistropic region are discussed.

Subject Keywords

Ray trajectory, Anisotropy, Group velocity, Phase velocity, Time-domain mapping, Mathematical billiard

URI

https://hdl.handle.net/11511/47605

Journal

INTERNATIONAL JOURNAL OF INFRARED AND MILLIMETER WAVES

DOI

https://doi.org/10.1023/a:1015755403064

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Numerical Solution of Multi-scale Electromagnetic Boundary Value Problems by Utilizing Transformation-Based Metamaterials Ozgun, Ozlem; Kuzuoğlu, Mustafa (2011-06-23) We present numerical solution techniques for efficiently handling multi-scale electromagnetic boundary value problems having fine geometrical details or features, by utilizing spatial coordinate transformations. The principle idea is to modify the computational domain of the finite methods (such as the finite element or finite difference methods) by suitably placing anisotropic metamaterial structures whose material parameters are obtained by coordinate transformations, and hence, to devise easier and effic...
Equivariant Picard groups of the moduli spaces of some finite Abelian covers of the Riemann sphere Ozan, Yıldıray (2023-03-01) In this note, following Kordek's work we will compute the equivariant Picard groups of the moduli spaces of Riemann surfaces with certain finite abelian symmetries.
Galois structure of modular forms of even weight Gurel, E. (Elsevier BV, 2009-10-01) We calculate the equivariant Euler characteristics of powers of the canonical sheaf on certain modular curves over Z which have a tame action of a finite abelian group. As a consequence, we obtain information on the Galois module structure of modular forms of even weight having Fourier coefficients in certain ideals of rings of cyclotomic algebraic integers. (c) 2009 Elsevier Inc. All rights reserved.
Integrable boundary value problems for elliptic type Toda lattice in a disk Guerses, Metin; Habibullin, Ismagil; Zheltukhın, Kostyantyn (AIP Publishing, 2007-10-01) The concept of integrable boundary value problems for soliton equations on R and R+ is extended to regions enclosed by smooth curves. Classes of integrable boundary conditions in a disk for the Toda lattice and its reductions are found. (C) 2007 American Institute of Physics.
Value sets of bivariate folding polynomials over finite fields Küçüksakallı, Ömer (2018-11-01) We find the cardinality of the value sets of polynomial maps associated with simple complex Lie algebras B-2 and G(2) over finite fields. We achieve this by using a characterization of their fixed points in terms of sums of roots of unity.

Citation Formats

A. Biber, A. Golick, and M. Tomak, “Time-domain mapping of electromagnetic ray movement inside 2D anisotropic region,” INTERNATIONAL JOURNAL OF INFRARED AND MILLIMETER WAVES, pp. 919–930, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47605.