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Gaussian Beams and Other Beams
2011The GLMT-framework previously introduced concerns arbitrary shaped beams. In practice however, one is often concerned with well defined special kinds of beams and, when the nature of the beam is known, much more can be said about GLMT. In this chapter, we discuss the special case of Gaussian beams, with a complement providing more information on ...
Gérard Gouesbet, Gérard Gréhan
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Comparison of Bessel and Gaussian beams
Optics Letters, 1988A comparison of beam divergence and power-transport efficiency is made between Gaussian and Bessel beams when both beams have the same initial total power and the same initial full width at half-maximum.
J, Durnin, J J, Miceli, J H, Eberly
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Elliptic Laguerre-Gaussian beams
Journal of the Optical Society of America A, 2006An analytical expression for the diffraction of an elliptic Laguerre-Gaussian (LG) beam is derived and analyzed. We show that a beam with even singularity order has nonzero axial intensity for any degree of ellipticity and at any finite distance z from the initial plane, whereas at z = 0 and z = infinity the axial intensity is zero.
Victor V, Kotlyar +5 more
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Induced focusing and conversion of a Gaussian beam into an elliptic Gaussian beam
Pramana, 2005We have presented an investigation of the induced focusing in Kerr media of two laser beams, the pump beam and the probe beam, which could be either Gaussian or elliptic Gaussian or a combination of the two. We have used variational formalism to derive relevant beam-width equations.
Manoj Mishra, Swapan Konar
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Approximation of super-Gaussian beams by generalized flattened Gaussian beams
SPIE Proceedings, 1997Propagation 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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Gaussian beams and minimum diffraction
Optics Letters, 2006I 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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Some nomographs for Gaussian beams
Applied Optics, 1979This 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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Cylindrical quasi-Gaussian beams
Optics Letters, 2013Making use of the complex-source-point method in cylindrical coordinates, an exact solution representing a cylindrical quasi-Gaussian beam of arbitrary waist w(0) satisfying both the Helmholtz and Maxwell's equations is introduced. The Cartesian components of the electromagnetic field are derived stemming from different polarizations of the magnetic ...
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Strehl ratio of a Gaussian beam
Journal of the Optical Society of America A, 2005We discuss the Strehl ratio of systems with a Gaussian pupil and determine the range of validity of its approximate expression based on the aberration variance. The results given are equally applicable to propagation of Gaussian beams. The uniform and weakly truncated pupils are considered as limiting cases of a Gaussian pupil.
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Focusing of spherical Gaussian beams
Applied Optics, 1983Simple 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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