Results 261 to 270 of about 68,410 (312)

Gaussian beams and their generalizations

Physical Review A, 1985
Boundary-value problems for the reduced wave equation that give rise to Gaussian and generalized Gaussian beams in paraxial regions are studied via complex ray geometrical optics. Expressions for the field valid both within and outside the paraxial region are obtained, and the results are compared with those given by paraxial wave optics and evanescent-
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Nonparaxial Gaussian beams

Applied Optics, 1990
When the waist size of a Gaussian beam becomes of the order of the wavelength of light, the beam does not satisfy the paraxial condition in which it is derived. In this paper, we define the lower bound to the waist size by showing that a Gaussian beam whose waist size is larger than this bound safely satisfies the paraxial condition.
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A further comparative study of flattened Gaussian beams and super-Gaussian beams

Journal of Modern Optics, 2001
Abstract A further comparison between flattened Gaussian beams (FGBs) and super-Gaussian beams (SGBs) is performed. It is shown that the two FGB and SGB having the same beam propagation factor (M2−factor) but different waist widths demonstrate a similar irradiance profile at the position of the equal generalized Fresnel number, while they propagate ...
Baida Lü, Shirong Luo, Xiaoling Ji
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Transformation of Hermite-Gaussian beams into complex Hermite-Gaussian and Laguerre-Gaussian beams

SPIE Proceedings, 1999
Hermite-Gaussian, Laguerre-Gaussian and complex Hermite- Gaussian modes are solutions of the paraxial wave equation. Using an astigmatic optical system each type of beams can be transformed into the others. This allows a generation of complex Hermite-Gaussian modes with twist whose propagation behavior is investigated in detail.
Holger Laabs, Chunqing Gao, Horst Weber, Nicolas Kugler, Chang Ming Zhao   +4 more
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Beam propagation factor of decentred Gaussian and cosine-Gaussian beams

Journal of Modern Optics, 2000
Abstract On the basis of the second moment method, the beam propagation factor (M 2−factor) of decentred Gaussian beam has been derived, and analysed physically. Then, the result is extended to novel sinusoidal-Gaussian beams, one type of which is the cosine—Gaussian beam, which can be regarded as a superposition of two decentred Gaussian beams.
Baida Lü, Hong Ma
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Induced focusing and conversion of a Gaussian beam into an elliptic Gaussian beam

Pramana, 2005
We 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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Diffraction and focusing of Gaussian beams

Applied Optics, 1985
Methods for the measurement of the waist size and position for Gaussian beams are summarized. An alternative method is given which would apply to pulsed systems. The general theory of diffraction of Gaussian beams is developed which provides a new method for the location of the beam waist.
R M, Herman, J, Pardo, T A, Wiggins
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Comparison of Bessel and Gaussian beams

Optics Letters, 1988
A 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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Gaussian Beams and Other Beams

2011
The 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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Elliptic Laguerre-Gaussian beams

Journal of the Optical Society of America A, 2006
An 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, Svetlana N, Khonina, Anton A, Almazov, Victor A, Soifer, Konstantins, Jefimovs, Jari, Turunen   +5 more
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