Results 141 to 150 of about 358,541 (195)
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Gaussian Beams in Turbulent Media
Applied Optics, 1970The propagation of a gaussian beam in a turbulent medium is investigated by the geometrical optics method. The correlation function as well as the structure function of the phase fluctuations at two points of an imperturbed wavefront are derived in a closed form in the two limiting cases when the points belong to two almost parallel rays or to two ...
A. Consortini, L. Ronchi
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71st EAGE Conference and Exhibition incorporating SPE EUROPEC 2009, 2009
Conventional reflection travel time tomography based on ray tracing techniques may face a series of difficulties that can be easily overcome by using the Gaussian beams summation method.
N. M. Semtchenok +2 more
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Conventional reflection travel time tomography based on ray tracing techniques may face a series of difficulties that can be easily overcome by using the Gaussian beams summation method.
N. M. Semtchenok +2 more
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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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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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Journal of Optics, 2020
A new analytical solution of the nonparaxial Helmholtz equation for the Gaussian beam has been obtained. It is shown that the beam retains the Gaussian distribution of the amplitude at propagation in space. The scale transformation of the beam has been determined. The Kogelnik–Li law applies to a nonparaxial Gaussian beam.
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A new analytical solution of the nonparaxial Helmholtz equation for the Gaussian beam has been obtained. It is shown that the beam retains the Gaussian distribution of the amplitude at propagation in space. The scale transformation of the beam has been determined. The Kogelnik–Li law applies to a nonparaxial Gaussian beam.
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Journal of the Optical Society of America A, 1986
Gaussian-beam-type solutions to the Maxwell equations are constructed by using results from relativistic front analysis, and the propagation characteristics of these beams are analyzed. The rays of geometrical optics are shown to be the trajectories of energy flow, as given by the Poynting vector. The longitudinal components of the field vectors in the
R. Simon, E. C. G. Sudarshan, N. Mukunda
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Gaussian-beam-type solutions to the Maxwell equations are constructed by using results from relativistic front analysis, and the propagation characteristics of these beams are analyzed. The rays of geometrical optics are shown to be the trajectories of energy flow, as given by the Poynting vector. The longitudinal components of the field vectors in the
R. Simon, E. C. G. Sudarshan, N. Mukunda
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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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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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Mixing Gaussian Beams with Displaced Beam Centers
Applied Optics, 1971This paper contains a study of the average signal-to-noise ratio that appears at the output of an optical heterodyne when the nominal centers of the signal and local oscillator beams do not coincide. It is shown that the signal-to-noise ratio is far less sensitive to this type of misalignment than it is to angular effects, and that little is ...
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Journal of Optics A: Pure and Applied Optics, 2004
A unity of Hermite–Gaussian (HG) and Laguerre–Gaussian (LG) beam families is proposed by introducing an additional parameter. Continuous changing of the introduced parameter allows one to transform HG beams into LG beams in a continuous way, keeping some important properties of both families, for example, structural stability under propagation.
E G Abramochkin, V G Volostnikov
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A unity of Hermite–Gaussian (HG) and Laguerre–Gaussian (LG) beam families is proposed by introducing an additional parameter. Continuous changing of the introduced parameter allows one to transform HG beams into LG beams in a continuous way, keeping some important properties of both families, for example, structural stability under propagation.
E G Abramochkin, V G Volostnikov
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Optics Communications, 1983
Anisotropic gaussian beams are obtained as exact solutions to the parabolic wave equation. These beams have a quadratic phase front whose principal radii of curvature are non-degenerate everywhere. It is shown that, for the lowest order beams, there exists a plane normal to the beam axis where the intensity distribution is rotationally symmetric about ...
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Anisotropic gaussian beams are obtained as exact solutions to the parabolic wave equation. These beams have a quadratic phase front whose principal radii of curvature are non-degenerate everywhere. It is shown that, for the lowest order beams, there exists a plane normal to the beam axis where the intensity distribution is rotationally symmetric about ...
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