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Helical laser beams

Kotlyar, Victor V.

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Helical laser beams

Record Type:	Electronic resources : Monograph/item
Title/Author:	Helical laser beams/ by Victor V. Kotlyar, Eugeny G. Abramochkin, Alexey A. Kovalev.
Author:	Kotlyar, Victor V.
other author:	Abramochkin, Eugeny G.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xiii, 186 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Introduction -- 1.Asymmetric laser beams -- 2.Ince-Gaussian beams -- 3.New type of Laguerre-Gaussian beams -- 4.New type of Bessel-Gaussian beams -- 5.Superposition of helical laser beams -- 6.Orbital angular momentum of helical laser beams -- Conclusion.
Contained By:	Springer Nature eBook
Subject:	Laser beams. -
Online resource:	https://doi.org/10.1007/978-3-031-92217-6
ISBN:	9783031922176

Helical laser beams
Kotlyar, Victor V.

Helical laser beams[electronic resource] /by Victor V. Kotlyar, Eugeny G. Abramochkin, Alexey A. Kovalev. - Cham :Springer Nature Switzerland :2025. - xiii, 186 p. :ill. (some col.), digital ;24 cm.

Introduction -- 1.Asymmetric laser beams -- 2.Ince-Gaussian beams -- 3.New type of Laguerre-Gaussian beams -- 4.New type of Bessel-Gaussian beams -- 5.Superposition of helical laser beams -- 6.Orbital angular momentum of helical laser beams -- Conclusion.

This book discusses helical Ince-Gaussian beams, which are presented as expansions in Hermite-Gaussian modes, and analytical expressions for the orbital angular momentum are obtained for them. In scalar optics, light is described by a complex amplitude, a complex function of three Cartesian coordinates. This function must be a solution to the scalar paraxial Helmholtz equation, which is equivalent to the Schrödinger equation in quantum mechanics. There are not many known exact analytical solutions of this equation in the form of special functions, only a few dozen. Each such solution can be associated with a certain laser beam, for example, a Bessel, Laguerre-Gaussian or Hermite-Gaussian beam. Each such analytical solution of the Helmholtz equation allows one to fully describe all the features of the light beam before modeling. Find the intensity distribution at any distance from the waist, phase distribution, total beam power and its other characteristics. Therefore, the search for new analytical solutions describing new laser beams, including helical (vortex) beams, which have orbital angular momentum and topological charge, is relevant. This book describes new helical beams that the authors obtained in 2023-2024. These are generalized asymmetric Laguerre-Gaussian and Hermite-Gaussian beams, double and square Bessel-Gaussian and Laguerre-Gaussian beams, and several types of Bessel-Bessel-Gaussian beams. Each such new analytical solution of the Helmholtz paraxial equation is a significant contribution to optics. The book is of interest to a wide range of scientists and engineers working in the field of optics, photonics, laser physics, opto-information technologies and optical instrumentation. It can also be useful for bachelors and masters in the specialties applied mathematics and physics, applied mathematics and informatics, optics and graduate students specializing in these areas.

ISBN: 9783031922176

Standard No.: 10.1007/978-3-031-92217-6doiSubjects--Topical Terms:

526919
Laser beams.

LC Class. No.: QC689.5.L37

Dewey Class. No.: 621.366

Helical laser beams
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100 1 $a Kotlyar, Victor V. $3 3724869
245 1 0 $a Helical laser beams $h [electronic resource] / $c by Victor V. Kotlyar, Eugeny G. Abramochkin, Alexey A. Kovalev.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a xiii, 186 p. : $b ill. (some col.), digital ; $c 24 cm.
338 $a online resource $b cr $2 rdacarrier
505 0 $a Introduction -- 1.Asymmetric laser beams -- 2.Ince-Gaussian beams -- 3.New type of Laguerre-Gaussian beams -- 4.New type of Bessel-Gaussian beams -- 5.Superposition of helical laser beams -- 6.Orbital angular momentum of helical laser beams -- Conclusion.
520 $a This book discusses helical Ince-Gaussian beams, which are presented as expansions in Hermite-Gaussian modes, and analytical expressions for the orbital angular momentum are obtained for them. In scalar optics, light is described by a complex amplitude, a complex function of three Cartesian coordinates. This function must be a solution to the scalar paraxial Helmholtz equation, which is equivalent to the Schrödinger equation in quantum mechanics. There are not many known exact analytical solutions of this equation in the form of special functions, only a few dozen. Each such solution can be associated with a certain laser beam, for example, a Bessel, Laguerre-Gaussian or Hermite-Gaussian beam. Each such analytical solution of the Helmholtz equation allows one to fully describe all the features of the light beam before modeling. Find the intensity distribution at any distance from the waist, phase distribution, total beam power and its other characteristics. Therefore, the search for new analytical solutions describing new laser beams, including helical (vortex) beams, which have orbital angular momentum and topological charge, is relevant. This book describes new helical beams that the authors obtained in 2023-2024. These are generalized asymmetric Laguerre-Gaussian and Hermite-Gaussian beams, double and square Bessel-Gaussian and Laguerre-Gaussian beams, and several types of Bessel-Bessel-Gaussian beams. Each such new analytical solution of the Helmholtz paraxial equation is a significant contribution to optics. The book is of interest to a wide range of scientists and engineers working in the field of optics, photonics, laser physics, opto-information technologies and optical instrumentation. It can also be useful for bachelors and masters in the specialties applied mathematics and physics, applied mathematics and informatics, optics and graduate students specializing in these areas.
650 0 $a Laser beams. $3 526919
650 1 4 $a Optics and Photonics. $3 1060604
650 2 4 $a Laser Technology. $3 3538920
650 2 4 $a Classical Electrodynamics. $3 3135223
650 2 4 $a Quantum Physics. $3 893952
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
700 1 $a Abramochkin, Eugeny G. $3 3789853
700 1 $a Kovalev, Alexey Andreevich. $3 3724870
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-92217-6
950 $a Physics and Astronomy (SpringerNature-11651)