Quadratic cosine-Gauss beams - the new family of localized solutions of the paraxial wave equation

We propose a new class of localized solutions of the paraxial wave equation. They have a form of a product of a Gaussian term and an amplitude which contains only elementary coordinate functions. Solutions are obtained by summing of the quadratic Bessel-Gauss beams with odd indices. Due to the confi...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-12, Vol.1399 (2), p.22041
Main Authors: Plachenov, A B, Dyakova, G N
Format: Article
Language:English
Subjects:
Gaussian beams (optics)
Physics
Wave equations
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Summary:We propose a new class of localized solutions of the paraxial wave equation. They have a form of a product of a Gaussian term and an amplitude which contains only elementary coordinate functions. Solutions are obtained by summing of the quadratic Bessel-Gauss beams with odd indices. Due to the configuration of the obtained solutions, we named them quadratic cosine-Gauss beams.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1399/2/022041