Parametric characterization of truncated Hermite-cosh-Gaussian beams

“…Recently, a new laser beam, called the Hermite-cosh-Gaussian (HChG) beam (one of the solutions of the paraxial wave equation) has been studied extensively, including parameters, characterisation and propagation properties [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] and it has been noted that such HChG beams can be generated in the laboratory by the superposition of two decentred Hermite Gaussian beams as cosh-Gaussian ones [24][25][26]. To date, and to the best of our knowledge, the investigation of these beams has been limited to revealing linear propagation characteristics.…”

Section: Introductionmentioning

confidence: 99%

Propagation of Hermite-cosh-Gaussian laser beams in non-degenerate germanium having space charge neutrality

Patil

Takale

Dongare

2008

Journal of Modern Optics

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In this paper, we analytically investigate Hermite-cosh-Gaussian (HChG) laser beam propagation in non-degenerate germanium having space charge neutrality for the first three mode indices. The field distribution in the medium is expressed in terms of beam-width parameter f and decentred parameter b. The differential equations for the f parameter are established by a parabolic wave equation approach under paraxial approximation. Analytical solutions are obtained under the condition R n 5 R d , where R n is the self-focusing length and R d is the diffraction length. The behaviour of the f parameter with the dimensionless distance of propagation for various b values is examined by numerical estimates. The results are presented graphically.

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“…In the case M=0, i.e., in the absence of the vortex, Eq. (1) will describe the well-known Hermite-cosh-Gaussian beam [36][37][38][39][40]. For convenience and without loss generality, we will consider in the following a vHCHGB with p=q, i.e, with xy symmetry.…”

Section: Propagation Properties Of a Vhchg Through Turbulent Atmospherementioning

confidence: 99%

Effects of turbulent atmosphere on the propagation properties of vortex Hermite-cosine-hyperbolic-Gaussian beams

et al. 2021

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The propagation properties of a vortex Hermite-cosh-Gaussian beam (vHChGB) in atmospheric turbulence are investigated based on the extended Huygens-Fresnel diffraction integral and Rytov method. The analytical formula for the average intensity of a vHChGB propagating in turbulent atmosphere is derived in detail. The influence of the turbulence strength on the intensity distribution under the change of beam parameters conditions is illustrated numerically and discussed. Results show the profile of the initial vHChGB remains unchanged within small propagation distance range, and at certain propagation distance a central peak intensity appears, and finally the beam evolves into Gaussian profile-like in farfield. The rising speed of the central peak intensity is faster when the turbulence strength is larger or the beam parameters such as the beam order, the vortex charge and the Gaussian waist width are smaller. With a small decentered parameter b, the beam profile changes faster as the wavelengthis larger, whereas the reverse behavior occurs when b is large. The obtained results may be useful for the practical applications of vHChGB in optical communications and remote sensing.

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Parametric characterization of truncated Hermite-cosh-Gaussian beams

Cited by 40 publications

References 9 publications

Propagation properties of partially coherent Hermite–cosh-Gaussian beams through atmospheric turbulence

Propagation properties of partially coherent Hermite–cosh-Gaussian beams through atmospheric turbulence

Propagation of Hermite-cosh-Gaussian laser beams in non-degenerate germanium having space charge neutrality

Effects of turbulent atmosphere on the propagation properties of vortex Hermite-cosine-hyperbolic-Gaussian beams

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