The analytical vectorial structure of HGB is investigated in the far field based on the vector plane wave spectrum and the method of stationary phase. The energy flux distributions of HGB in the far-field, which is composed of TE term and TM term, are demonstrated. The physics pictures of HGB is illustrated from the vectorial structure, which is important to understand the theoretical aspects of both scalar and vector HGB propagation. (c) 2008 Optical Society of America
Hollow Gaussian beams (HGB) are a special class of doughnut shaped beams that do not carry orbital a...
An alternative and convenient theoretical model is proposed to describe a flexible anomalous hollow ...
Gaussian beams have been widely used for propagating electromagnetic waves in free space and in cert...
The analytical vectorial structure of non-paraxial four-petal Gaussian beams (FPGBs) in the far fiel...
Based on the vector angular spectrum theory of electromagnetic waves and the method of stationary p...
Based on the method of stationary-phase and the mathematic techniques, analytical expressions for th...
In this paper, the propagation properties of hollow Gaussian beams (HGBs) are discussed in detail wh...
Based on the paraxial vectorial theory of beams propagating in uniaxially anisotropic media, we have...
Based on the vectorial Raleigh-Sommerfeld diffraction integral, an analytical propagation equation o...
A model named modified hollow Gaussian beam (HGB) is proposed to describe a dark hollow beam with ad...
Based on the vector angular spectrum method and the stationary phase method and the fact that a circ...
Two tool parameters, the beam propagation factor M² and kurtosis factor k, are used to analyse solut...
Vector beams are light beams with spatially variant polarization [1]. During the last decade vector ...
A representation theory of finite electromagnetic beams in free space is formulated by factorizing t...
Propagation of circular and elliptical anomalous hollow beams in a turbulent atmosphere is investiga...
Hollow Gaussian beams (HGB) are a special class of doughnut shaped beams that do not carry orbital a...
An alternative and convenient theoretical model is proposed to describe a flexible anomalous hollow ...
Gaussian beams have been widely used for propagating electromagnetic waves in free space and in cert...
The analytical vectorial structure of non-paraxial four-petal Gaussian beams (FPGBs) in the far fiel...
Based on the vector angular spectrum theory of electromagnetic waves and the method of stationary p...
Based on the method of stationary-phase and the mathematic techniques, analytical expressions for th...
In this paper, the propagation properties of hollow Gaussian beams (HGBs) are discussed in detail wh...
Based on the paraxial vectorial theory of beams propagating in uniaxially anisotropic media, we have...
Based on the vectorial Raleigh-Sommerfeld diffraction integral, an analytical propagation equation o...
A model named modified hollow Gaussian beam (HGB) is proposed to describe a dark hollow beam with ad...
Based on the vector angular spectrum method and the stationary phase method and the fact that a circ...
Two tool parameters, the beam propagation factor M² and kurtosis factor k, are used to analyse solut...
Vector beams are light beams with spatially variant polarization [1]. During the last decade vector ...
A representation theory of finite electromagnetic beams in free space is formulated by factorizing t...
Propagation of circular and elliptical anomalous hollow beams in a turbulent atmosphere is investiga...
Hollow Gaussian beams (HGB) are a special class of doughnut shaped beams that do not carry orbital a...
An alternative and convenient theoretical model is proposed to describe a flexible anomalous hollow ...
Gaussian beams have been widely used for propagating electromagnetic waves in free space and in cert...
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