Electromagnetic Wave Reflection from Boundaries defined by General Linear and Local Conditions

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@article{462d33a597094e8ca60223fb8157f031,
title = "Electromagnetic Wave Reflection from Boundaries defined by General Linear and Local Conditions",
abstract = "Electromagnetic boundaries, defined by the most general linear and local conditions, are considered in this paper. The conditions relate the normal components of the D and B vectors to the tangential components of the E and H vectors at each point of the boundary. Reflection of a plane wave from a planar boundary in an isotropic half space is analyzed and an analytic expression for the reflection dyadic is derived. It is shown that any plane wave can be decomposed in two components which do not interact in reflection. Properties of plane waves matched to the general boundary are given. Certain special cases, arising naturally from the general theory and labeled as E-boundary, H-boundary and EH-boundary conditions, are introduced as interesting novelties and some of their properties are studied. Other special cases with known results are considered in verifying the theory. A possible realization of the general boundary in terms of an interface of a bi-anisotropic medium is discussed in an Appendix.",
keywords = "Antennas, Boundary conditions, Conductors, Dispersion equation, Electromagnetic scattering, Electromagnetic theory, Erbium, Metasurfaces, Surface impedance, Two dimensional displays",
author = "Lindell, {Ismo V.} and Ari Sihvola",
year = "2017",
month = "9",
doi = "10.1109/TAP.2017.2723913",
language = "English",
volume = "65",
pages = "4656--4663",
journal = "IEEE Transactions on Antennas & Propagation",
issn = "0018-926X",
number = "9",

}

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TY - JOUR

T1 - Electromagnetic Wave Reflection from Boundaries defined by General Linear and Local Conditions

AU - Lindell, Ismo V.

AU - Sihvola, Ari

PY - 2017/9

Y1 - 2017/9

N2 - Electromagnetic boundaries, defined by the most general linear and local conditions, are considered in this paper. The conditions relate the normal components of the D and B vectors to the tangential components of the E and H vectors at each point of the boundary. Reflection of a plane wave from a planar boundary in an isotropic half space is analyzed and an analytic expression for the reflection dyadic is derived. It is shown that any plane wave can be decomposed in two components which do not interact in reflection. Properties of plane waves matched to the general boundary are given. Certain special cases, arising naturally from the general theory and labeled as E-boundary, H-boundary and EH-boundary conditions, are introduced as interesting novelties and some of their properties are studied. Other special cases with known results are considered in verifying the theory. A possible realization of the general boundary in terms of an interface of a bi-anisotropic medium is discussed in an Appendix.

AB - Electromagnetic boundaries, defined by the most general linear and local conditions, are considered in this paper. The conditions relate the normal components of the D and B vectors to the tangential components of the E and H vectors at each point of the boundary. Reflection of a plane wave from a planar boundary in an isotropic half space is analyzed and an analytic expression for the reflection dyadic is derived. It is shown that any plane wave can be decomposed in two components which do not interact in reflection. Properties of plane waves matched to the general boundary are given. Certain special cases, arising naturally from the general theory and labeled as E-boundary, H-boundary and EH-boundary conditions, are introduced as interesting novelties and some of their properties are studied. Other special cases with known results are considered in verifying the theory. A possible realization of the general boundary in terms of an interface of a bi-anisotropic medium is discussed in an Appendix.

KW - Antennas

KW - Boundary conditions

KW - Conductors

KW - Dispersion equation

KW - Electromagnetic scattering

KW - Electromagnetic theory

KW - Erbium

KW - Metasurfaces

KW - Surface impedance

KW - Two dimensional displays

UR - http://www.scopus.com/inward/record.url?scp=85023198946&partnerID=8YFLogxK

U2 - 10.1109/TAP.2017.2723913

DO - 10.1109/TAP.2017.2723913

M3 - Article

VL - 65

SP - 4656

EP - 4663

JO - IEEE Transactions on Antennas & Propagation

JF - IEEE Transactions on Antennas & Propagation

SN - 0018-926X

IS - 9

ER -

ID: 14526251