Spot size and divergence for Hermite Gaussian beams of any order

Abstract-An analytical expression of an Airy-Gauss beam passing through a fractional Fourier transform (FRFT) system is derived. The normalized intensity distribution, phase distribution, centre of gravity, effective beam size, linear momentum, and kurtosis parameter of the Airy-Gauss beam are demonstrated in FRFT plane, respectively. The influence of the fractional order p on the normalized intensity distribution, phase distribution, centre of gravity, effective beam size, linear momentum, and kurtosis parameter of the Airy-Gauss beam are examined in FRFT plane. The fractional order p controls the normalized intensity distribution, phase distribution, centre of gravity, effective beam size, the linear momentum, and kurtosis parameter. The period of the normalized intensity, phase, and centre of gravity versus the fractional order p is 4. The period of effective beam size, linear momentum, and kurtosis parameter versus the fractional order p is 2. The periodic behaviors of the normalized intensity distribution, phase distribution, centre of gravity, effective beam size, linear momentum, and kurtosis parameter can bring novel applications such as optical switch, optical micromanipulation, and optical image processing.

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“…The effective beam size of the Lorentz-Gauss vortex beam in the j-direction of the receiver plane is defined as [39] W jz = 2…”

Section: Propagation Of a Lorentz-gauss Vortex Beam In A Turbulent Atmentioning

confidence: 99%

Propagation of a Lorentz-Gauss Vortex Beam in a Turbulent Atmosphere

Zhou

Ru²

2013

PIER

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Abstract-The propagation properties of a Lorentz-Gauss vortex beam in a turbulent atmosphere are investigated. Based on the extended Huygens-Fresnel integral, the Hermite-Gaussian expansion of a Lorentz function, etc., analytical expressions of the average intensity, effective beam size, and kurtosis parameter of a LorentzGauss vortex beam are derived in the turbulent atmosphere. The spreading properties of a Lorentz-Gauss vortex beam in the turbulent atmosphere are numerically calculated and analyzed. The influences of the beam parameters on the propagation of a Lorentz-Gauss vortex beam in the turbulent atmosphere are examined in details. Upon propagation in the turbulent atmosphere, the vale in the normalized intensity distribution of a Lorentz-Gauss vortex beam gradually rises. The rising speed of the vale is opposite to the spreading of the beam spot. When the propagation distance reaches to a certain value, the Lorentz-Gauss vortex beam in the turbulent atmosphere becomes a flattened beam spot. When the propagation distance is large enough, the beam spot of the Lorentz-Gauss vortex beam tends to be a Gaussian-like distribution. This research is beneficial to optical communications and remote sensing that are involved in the single mode diode laser devices.

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Spot size and divergence for Hermite Gaussian beams of any order

Cited by 147 publications

References 4 publications

Elegant Laguerre–Gaussian beam in a turbulent atmosphere

Elegant Laguerre–Gaussian beam in a turbulent atmosphere

Properties of Airy-Gauss Beams in the Fractional Fourier Transform Plane

Propagation of a Lorentz-Gauss Vortex Beam in a Turbulent Atmosphere

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