Theory of electromagnetic beams

Davis, Lawrence W.

doi:10.1103/physreva.19.1177

Cited by 606 publications

(276 citation statements)

References 3 publications

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“…When the symmetrized Davis-Barton model of the Gaussian beam is used [26], the g r+1 coefficients (axial Gaussian beam shape coefficients in the spherical coordinates attached to Oxyz) in Eq. (3) can be computed by using the localized approximation as [27] …”

Section: Expansion Of Axial Gaussian Beam In Spheroidal Coordinatesmentioning

confidence: 99%

Scattering of an Axial Gaussian Beam by a Conducting Spheroid With Non-Confocal Chiral Coating

Zhang¹,

Sun²,

Liao³

et al. 2013

PIER

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Abstract-Within the generalized Lorenz-Mie theory framework, an analytic solution to the scattering by a conducting spheroid with non-confocal chiral coating, for incidence of an axial Gaussian beam, is presented. To overcome the difficulty of non-confocal boundary conditions, a theoretical procedure is developed by virtue of a transformation between the spherical and spheroidal vector wave functions. Numerical results of the normalized differential scattering cross section are shown for chiral-coated conducting spheroids.

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Section: Expansion Of Axial Gaussian Beam In Spheroidal Coordinatesmentioning

confidence: 99%

Scattering of an Axial Gaussian Beam by a Conducting Spheroid With Non-Confocal Chiral Coating

Zhang¹,

Sun²,

Liao³

et al. 2013

PIER

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“…The case of a transverse unit vector corresponds to the representation formalism discussed in Refs. [2,3], and the case of a longitudinal unit vector corresponds to the representation formalism discussed in Refs. [4,5].…”

Section: Introductionmentioning

confidence: 99%

“…Rather it is local and changes on propagation. In an attempt to describe the vectorial property of a beam, a unit vector was once introduced and was first supposed [2,3] to be perpendicular to the propagation axis. Later on, it was further pointed out [4,5] that the unit vector can also be parallel to the propagation axis.…”

Section: Introductionmentioning

confidence: 99%

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Representation theory for vector electromagnetic beams

Li¹

2008

Phys. Rev. A

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A representation theory of finite electromagnetic beams in free space is formulated by factorizing the field vector of the plane-wave component into a 3×2 mapping matrix and a 2-component Joneslike vector. The mapping matrix has one degree of freedom that can be described by the azimuthal angle of a fixed unit vector with respect to the wave vector. This degree of freedom allows us to find out such a beam solution in which every plane-wave component is specified by the same fixed unit vector I and has the same normalized Jones-like vector. The angle θ I between the fixed unit vector and the propagation axis acts as a parameter that describes the vectorial property of the beam. The impact of θ I is investigated on a beam of angular-spectrum field scalar that is independent of the azimuthal angle. The field vector in position space is calculated in the first-order approximation under the paraxial condition. A transverse effect is found that a beam of ellipticallypolarized angular spectrum is displaced from the center in the direction that is perpendicular to the plane formed by the fixed unit vector and the propagation axis. The expression of the transverse displacement is obtained. Its paraxial approximation is also given.

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“…Free space where (Gaussian beam shape coefficients in spherical coordinates), when the Davis-Barton model of the Gaussian beam is used [13], can be computed with its localized approximation as [14,15] …”

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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Theory of electromagnetic beams

Cited by 606 publications

References 3 publications

Scattering of an Axial Gaussian Beam by a Conducting Spheroid With Non-Confocal Chiral Coating

Scattering of an Axial Gaussian Beam by a Conducting Spheroid With Non-Confocal Chiral Coating

Representation theory for vector electromagnetic beams

Reflection and transmission of Gaussian beam by a chiral slab

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