DIFFRACTION OF 3-D GAUSSIAN BEAM WITH CIRCULAR SYMMETRY OF THE FIELD SPACE DISTRIBUTION ON PERMEABLE SCREENS AT SMALL ANGLES OF INCIDENCE

This article demonstrates the crucial importance of the symmetrization method for the formation of autofocusing beams. It is possible to impart autofocusing properties to rather arbitrary distributions, for example, truncated and inverted classical modes (such as Hermite–Gaussian, Laguerre–Gaussian, and Bessel modes) or shift the fundamental Gaussian beam by inserting mirror or circular symmetry. The most convenient for controlling autofocusing characteristics is the truncated sinus function with a power-law argument dependence. In this case, superlinear chirp beams (with power q > 2) exhibit sudden and more abrupt autofocusing than sublinear chirp beams (with power 1 < q < 2). Comparison of the different beams’ propagation is performed using fractional Fourier transform, which allows obtaining the field distribution in any paraxial region (both in the Fresnel and Fraunhofer diffraction regions). The obtained results expand the capabilities of structured beams in various applications in optics and photonics.

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DIFFRACTION OF A 3-D GAUSSIAN BEAM WITH CIRCULAR SYMMETRY OF THE SPATIAL FIELD DISTRIBUTION BY PENETRABLE SCREENS

Telecommunications and Radio Engineering ◽

10.1615/telecomradeng.v71.i8.10 ◽

2012 ◽

Vol 71 (8) ◽

pp. 677-691 ◽

Cited By ~ 1

Author(s):

V. V. Yachin ◽

T. L. Zinenko ◽

V. K. Kiseliov

Keyword(s):

Gaussian Beam ◽

Field Distribution ◽

Circular Symmetry

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A one-dimensional self-gravitating stellar gas

Symposium - International Astronomical Union ◽

10.1017/s0074180900105261 ◽

1966 ◽

Vol 25 ◽

pp. 46-48 ◽

Cited By ~ 2

Author(s):

M. Lecar

Keyword(s):

Gravitational Field ◽

Phase Space ◽

Motion Picture ◽

Space Distribution ◽

Two Dimensional ◽

One Dimensional ◽

Phase Space Distribution ◽

Dimensional Phase Space ◽

The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

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Representation of information in SEM by equal signal lines

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100107861 ◽

1978 ◽

Vol 36 (1) ◽

pp. 144-145

Author(s):

E. Rau ◽

N. Karelin ◽

V. Dukov ◽

M. Kolomeytsev ◽

S. Gavrikov ◽

...

Keyword(s):

Electronic System ◽

Space Distribution ◽

Specimen Surface ◽

Universal Method ◽

Base Level ◽

Signal Value ◽

Information Signal ◽

Fixed Base ◽

Scanning Line ◽

Amplitude Analyzer

There are different methods and devices for the increase of the videosignal information in SEM. For example, with the help of special pure electronic [1] and opto-electronic [2] systems equipotential areas on the specimen surface in SEM were obtained. This report generalizes quantitative universal method for space distribution representation of research specimen parameter by contour equal signal lines. The method is based on principle of comparison of information signal value with the fixed levels.Transformation image system for obtaining equal signal lines maps was developed in two versions:1)In pure electronic system [3] it is necessary to compare signal U (see Fig.1-a), which gives potential distribution on specimen surface along each scanning line with fixed base level signals εifor obtaining quantitative equipotential information on solid state surface. The amplitude analyzer-comparator gives flare sport videopulses at any fixed coordinate and any instant time when initial signal U is equal to one of the base level signals ε.

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