Publication detail

Algorithms for Electromagnetic Waves on Interface

KADLEC, R. ROUBAL, Z. FIALA, P. KROUTILOVÁ, E.

Original Title

Algorithms for Electromagnetic Waves on Interface

English Title

Algorithms for Electromagnetic Waves on Interface

Type

conference paper

Language

en

Original Abstract

The paper presents the problem of algorithm design of propagation, reflection and refraction of the electromagnetic waves on a layered medium. The analytic solution of this issue is very intricate and time demanding. This method is suitable for specific purposes of the detailed analysis of the general issue. Numerical methods are more suitable for analysis of the reflection and refraction of electromagnetic waves on layered heterogeneous medium. Fundamental law for analysis of the reflection and the refraction of electromagnetic waves on the boundary line between two materials are Snells law for electromagnetic waves. In some cases, the form of transfer matrices and wave impedances for perpendicular incidence is same as for oblique incidence. By selection transverse and longitudinal fields with respect to the direction the dielectrics are vertical. We show that the transverse components satisfy the identical transfer matrix relationships as in the case of perpendicular incidence. The paper deals with the problem of complex angle of refraction in the losing medium. In non-lossy environment, interpretation of Fresnel relations and Snells law is simple. This phenomenon is occur in metamaterial. These materials with negative parameters constitute a group of media that possesses a negative value, relative permittivity or relative permeability or both.

English abstract

The paper presents the problem of algorithm design of propagation, reflection and refraction of the electromagnetic waves on a layered medium. The analytic solution of this issue is very intricate and time demanding. This method is suitable for specific purposes of the detailed analysis of the general issue. Numerical methods are more suitable for analysis of the reflection and refraction of electromagnetic waves on layered heterogeneous medium. Fundamental law for analysis of the reflection and the refraction of electromagnetic waves on the boundary line between two materials are Snells law for electromagnetic waves. In some cases, the form of transfer matrices and wave impedances for perpendicular incidence is same as for oblique incidence. By selection transverse and longitudinal fields with respect to the direction the dielectrics are vertical. We show that the transverse components satisfy the identical transfer matrix relationships as in the case of perpendicular incidence. The paper deals with the problem of complex angle of refraction in the losing medium. In non-lossy environment, interpretation of Fresnel relations and Snells law is simple. This phenomenon is occur in metamaterial. These materials with negative parameters constitute a group of media that possesses a negative value, relative permittivity or relative permeability or both.

Keywords

Electromagnetic waves, reflection, refraction

RIV year

2012

Released

18.04.2012

Publisher

The Electromagnetic Academy

Location

Cambridge

ISBN

978-1-934142-20-2

Book

Proceedings of PIERS 2012 in Kuala Lumpur

Pages from

425

Pages to

428

Pages count

4

URL

BibTex


@inproceedings{BUT91581,
  author="Radim {Kadlec} and Zdeněk {Roubal} and Pavel {Fiala} and Eva {Kroutilová}",
  title="Algorithms for Electromagnetic Waves on Interface",
  annote="The paper presents the problem of algorithm design of propagation, reflection and refraction of the electromagnetic waves on a layered medium. The analytic solution of this issue is very intricate and time demanding. This method is suitable for specific purposes of the detailed analysis of the general issue. Numerical methods are more suitable for analysis of the reflection and refraction of electromagnetic waves on layered heterogeneous medium. Fundamental law for analysis of the reflection and the refraction of electromagnetic waves on the boundary line between two materials are Snells law for electromagnetic waves. In some cases, the form of transfer matrices and wave impedances for perpendicular incidence is same as for oblique incidence. By selection transverse and longitudinal fields with respect to the direction the dielectrics are vertical. We show that the transverse components satisfy the identical transfer matrix relationships as in the case of perpendicular incidence. The paper deals with the problem of complex angle of refraction in the losing medium. In non-lossy environment, interpretation of Fresnel relations and Snells law is simple. This phenomenon is occur in metamaterial. These materials with negative parameters constitute a group of media that possesses a negative value, relative permittivity or relative permeability or both.",
  address="The Electromagnetic Academy",
  booktitle="Proceedings of PIERS 2012 in Kuala Lumpur",
  chapter="91581",
  howpublished="print",
  institution="The Electromagnetic Academy",
  number="04",
  year="2012",
  month="april",
  pages="425--428",
  publisher="The Electromagnetic Academy",
  type="conference paper"
}