Complete method to determine transmission and reflection characteristics at a planar interface between arbitrarily oriented biaxial media

Landry, Gary D.; Maldonado, Theresa A.

doi:10.1364/josaa.12.002048

Cited by 56 publications

(28 citation statements)

References 18 publications

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“…Landry uses a formulation more commonly used in the physics and optics communities and not familiar to most electrical engineers. Our approach is also more general than the approach used in [9,10]. Finally, we expand upon this research by analyzing the Brewster angle effect and critical angle as functions of permittivity and rotation angles.…”

Section: Introductionmentioning

confidence: 95%

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Reflection and Transmission From Biaxially Anisotropic-Isotropic Interfaces

Graham¹,

Lee²

2013

PIER

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Abstract-In this paper we explore electromagnetic behavior of arbitrarily oriented biaxially anisotropic media; specifically with respect to reflection and transmission. The reflection and transmission of electromagnetic waves incident upon half-space and two-layer interfaces are investigated. The waves may be incident from either the isotropic region or the biaxial region. The biaxial medium considered may be aligned with a principal coordinate system or may be arbitrarily oriented. Critical angle and Brewster angle effects are also analyzed.

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Section: Introductionmentioning

confidence: 95%

“…The most extensive work to date on reflection and transmission characteristics in biaxial media is presented by Landry and Maldonado [9,10]; they study half space reflection and transmission characteristics for biaxial-biaxial, isotropic-biaxial and biaxialisotropic configurations. They also study 2-layered and multi-layered problems.…”

Section: Introductionmentioning

confidence: 99%

Reflection and Transmission From Biaxially Anisotropic-Isotropic Interfaces

Graham¹,

Lee²

2013

PIER

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“…It is clear at this point that field vectors have unknown reflection and transmission coefficients for the corresponding polarization as shown in Equations (9) and (10) and these coefficients can be calculated by application of boundary conditions such as the one given in Equation (8). The solution of six linear equations given in (8) leads to a total of twenty four reflection and transmission coefficients as given by Equations (15) and (16). Hence, Equations (15) and (16) represent reflection and transmission coefficients for threelayered uniaxially anisotropic medium with arbitrarily oriented optic axes.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…It is analytically quite time consuming to obtain the closed form of the coefficients in (15) and (16). Therefore, we adopt the solution method proposed in [4] which is based on representation of Fresnel reflection and transmission coefficients in terms of half-space coefficients.…”

Section: R= R Hhmentioning

confidence: 99%

“…Concept of refraction in a more general anisotropic media which can have negative or positive permeability and permittivity tensors have been investigated in [15]. There has been some study on the derivation of Fresnel coefficients for also layered and single layer biaxially anisotropic media, metamaterials, bianisotropic and gyrotropic materials [16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

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Wave Propagation and Fresnel Coefficients for Three Layered Uniaxially Anisotropic Media With Arbitrarily Oriented Optic Axes

Eroğlu¹,

Lee²,

Lee³

2013

PIER B

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Abstract-Fresnel coefficients for three-layered uniaxially anisotropic media with arbitrarily oriented optic axes have been obtained using half-space reflection and transmission coefficients. The optic axes of the anisotropic media are assumed to be tilted at different angles ((ψ i , χ i ), i = 1, 2). This gives arbitrary orientation for anisotropic medium in the stratified configuration. The half space coefficients are derived at the boundary surfaces of two different media including isotropicanisotropic, anisotropic-anisotropic, anisotropic-isotropic interfaces with the application of boundary conditions. The interface between two media for the three-layered media leads to four different cases of wave propagation, which are analyzed in detail. The results are compared with the existing results in the limiting cases analytically. The results presented in this paper can be used to establish dyadic Green's functions, which can be used to calculate radiation and scattering from the stratified structure.

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Electromagnetic Waves in Biaxially Anisotropic Media

Graham

Lee

2015

Wiley Encyclopedia of Electrical and Electronics Engineering

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The article presents an overview of the wave behavior, governing equations, and some applications of biaxially anisotropic media. As this area of research matures, the governing behaviors described here will be of utmost importance to the understanding of device behavior. The biaxial nature of some manmade materials will be of increasing interest as we continue to manufacture materials to achieve unique electromagnetic behavior (metamaterials) and as the speed of communications increases over transmission lines on existing fabricated materials. This article is a review and a guide to the unique behavior of electromagnetic waves in biaxially anisotropic media.

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Complete method to determine transmission and reflection characteristics at a planar interface between arbitrarily oriented biaxial media

Cited by 56 publications

References 18 publications

Reflection and Transmission From Biaxially Anisotropic-Isotropic Interfaces

Reflection and Transmission From Biaxially Anisotropic-Isotropic Interfaces

Wave Propagation and Fresnel Coefficients for Three Layered Uniaxially Anisotropic Media With Arbitrarily Oriented Optic Axes

Electromagnetic Waves in Biaxially Anisotropic Media

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