Results 271 to 280 of about 68,410 (312)

Helical Ince–Gaussian laser beams as superpositions of Hermite–Gaussian beams

Journal of the Optical Society of America A
In this work, we theoretically and numerically analyze helical Ince–Gaussian (hIG) modes, hIGp,q(x,y,ε). We derive explicit analytical relationships to describe the ε-dependence (where ε is the ellipticity parameter) of the orbital angular momentum (OAM) of hIGp,q(x,y,ε) modes at p=2,3,4,5. The derivation procedure relies on expansions of the hIG modes
Eugeny G. Abramochkin, Victor V. Kotlyar, Alexey A. Kovalev   +2 more
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Decentered elliptical Gaussian beam

Applied Optics, 2002
A new kind of laser beam, called a decentered elliptical Gaussian beam (DEGB), is defined by a tensor method. The propagation formula for a DEGB passing through an axially nonsymmetrical paraxial optical system is derived through vector integration.
Yangjian, Cai, Qiang, Lin
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Some nomographs for Gaussian beams

Applied Optics, 1979
This paper describes the construction of nomographs for the following calculations: (1) peak irradiance of a Gaussian beam as a function of the total power and the beam radius; (2) power through a circular aperture; (3) transformation of a Gaussian beam by a lens.
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Gaussian beams and minimum diffraction

Optics Letters, 2006
I show that different legitimate measures of the amount of diffraction lead to contradictory conclusions concerning the beam profile that experiences minimum diffraction for a given beam width. In particular, when the Rényi entropy is used, the Gaussian beams no longer provide minimum diffraction, i.e., they do not have maximum quality.
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Approximation of super-Gaussian beams by generalized flattened Gaussian beams

SPIE Proceedings, 1997
Propagation of super Gaussian beams, which can be generated by graded-phase resonators, has been treated by approximating these beams with generalized flattened Gaussian beams. An optimum approximation is discussed by using characterization parameters and the fitting of the amplitude profiles.
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Focusing of spherical Gaussian beams

Applied Optics, 1983
Simple procedures and formulas for tracing the characteristics of a spherical Gaussian beam through a train of lenses or mirrors are described which are analogous to those used in geometrical optics to trace repeated images through an optical train.
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Elegant Ince–Gaussian beams

Optics Letters, 2004
The existence of elegant Ince-Gaussian beams that constitute a third complete family of exact and biorthogonal elegant solutions of the paraxial wave equation is demonstrated. Their transverse structure is described by Ince polynomials with a complex argument.
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Characteristics of a Propagating Gaussian Beam

Applied Optics, 1970
From diffraction theory, an expression is derived for the radius of a gaussian beam, in an output plane of a single lens, on-axis optical system, as a function of input waist radius, lens focal length, input waist to lens spacing, and lens to output plane spacing. Several special cases are discussed and plots of the important cases are included.
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A Logarithmic Gaussian Beam Chart

Applied Optics, 1968
Solutions of problems on the propagation and matching of Gaussian laser beams can be found graphically by means of circle diagrams called Gaussian beam charts. It is the purpose of this paper to propose a logarithmic version of this chart that covers a much wider region.
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Nonparaxial Gaussian beam

Journal of Optics (India), 2020
N V Selina
exaly