Reflection and refraction at the surface of a chiral medium: comparison of gyrotropic constitutive relations invariant or noninvariant under a duality transformation

Silverman, Mark P.

doi:10.1364/josaa.3.000830

Cited by 169 publications

(67 citation statements)

References 8 publications

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“…Based on the previous researches about the reflection and refraction at the surface of normally chiral medium, we analyzed the reflection and transmission characteristics at the surface of a chiral negative refractive mudium (the chirality parameter is larger than its refractive index) using constitutive relations different from Refs. [7,8]. Some novel characteristics different from those in the normally chiral medium are discovered.…”

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confidence: 94%

Reflection and transmission at the surface of a chiral negative refractive medium

Liu

Dong

2007

Optoelectron. Lett.

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Electromagnetic fields at the surface of a chiral negative refraction medium (the chirality parameter is larger than the refractive index) are analyzed theoretically. For obtaining chirality parameter,the normalized reflected and transmitted powers as a function of the incident angle are given for the perpendicular (TE) and parallel (TM) polarized incident wave.Brewster angle and total internal reflection angle are discussed. Due to the negative refraction of one eigen-wave in the chiral medium, the reflection, transmission and Brewster angle characteristics are very different from those in the normal chiral medium.In 1968, Veselago [1] studied the negative-refractive-index material (NIM) with simultaneously negative permittivity and negative permeability theoretically for the first time. Recently, NIM has been made in experiment [2] and the research on NIM becomes a hot topic. NIM has many potential applications in the areas of information, communication and so on. The negative refraction in the chiral medium is a new hot research [3] . The chirality parameter in the natural or synthetical chiral medium is always small, so an unnecessary restriction that the chiral parameter must be smaller than the refractive index was imposed in some literatures [4] . Since the refractive index could be negative, this restriction should be invalid. More recently, researches show that the chirality parameter can be larger than refractive index at least near the resonant frequency, and then one eigen-wave in the chiral medium will become a backward wave, making negative refraction in the chiral medium possible [5][6] . Due to the large chirality parameter, many problems related to electromagnetic propagation should be reconsidered theoretically. Based on the previous researches about the reflection and refraction at the surface of normally chiral medium, we analyzed the reflection and transmission characteristics at the surface of a chiral negative refractive mudium (the chirality parameter is larger than its refractive index) using constitutive relations different from Refs. [7,8]. Some novel characteristics different from those in the normally chiral medium are discovered.

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confidence: 94%

Reflection and transmission at the surface of a chiral negative refractive medium

Liu

Dong

2007

Optoelectron. Lett.

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“…The EM plane wave scattering by an optically active sphere or cylinder has been analyzed by using the vector wave functions [1,2]. On implementation of the EM boundary conditions for the corresponding characteristic plane waves, a theoretical study has been presented of the plane wave propagation through a dielectric-chiral interface and through a chiral slab [3,4]. As for the case of a shaped beam, which is of practical importance, Yokota et al studied the scattering of a Hermite-Gaussian beam by a chiral sphere via establishing the relations between the multipole fields and the conventional HermiteGaussian beam [5].…”

Section: Introductionmentioning

confidence: 99%

Reflection and transmission of Gaussian beam by a chiral slab

Yan

Zhang

2016

Appl. Phys. B

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Based on the generalized Lorenz-Mie theory framework, the reflection and transmission of an incident Gaussian beam by a chiral slab were investigated, by expanding the incident Gaussian beam, reflected beam, internal beam as well as transmitted beam in terms of cylindrical vector wave functions. The unknown expansion coefficients were determined by virtue of the boundary conditions. For a localized beam model, numerical results of the normalized field intensity distributions are presented, and the propagation characteristics are discussed concisely in this paper.

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“…On the other hand, the reflection and transmission of electromagnetic waves obliquely and normally incident on the isotropic chiral media and chiral slab have been examined in literature [38][39][40][41][42]. The effective chirality parameter of the C 4 -symmetry chiral metamaterial has been retrieved employing the transmission and reflection coefficients at normal incidence [43].…”

Section: Introductionmentioning

confidence: 99%

The Reflection and Transmission of Electromagnetic Waves by a Uniaxial Chiral Slab

2012

PIER

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Abstract-The reflection and transmission of electromagnetic waves obliquely incident on a uniaxial chiral slab with the optical axis perpendicular to the interface have been investigated. Firstly, the formulas of the reflection and transmission are derived. Then numerical results for four cases of the uniaxial chiral media are presented and different chiral parameters are considered. Finally, the Brewster's angles and total transmission are discussed.

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Reflection and refraction at the surface of a chiral medium: comparison of gyrotropic constitutive relations invariant or noninvariant under a duality transformation

Cited by 169 publications

References 8 publications

Reflection and transmission at the surface of a chiral negative refractive medium

Reflection and transmission at the surface of a chiral negative refractive medium

Reflection and transmission of Gaussian beam by a chiral slab

The Reflection and Transmission of Electromagnetic Waves by a Uniaxial Chiral Slab

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