Open AccessAstigmatic Gaussian beams: exact solutions of the Helmholtz equation in free space
Author(s) -
A. A. Kiselev,
A. B. Plachenov
Publication year - 2019
Publication title -
journal of physics communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.407
H-Index - 17
ISSN - 2399-6528
DOI - 10.1088/2399-6528/ab5149
Subject(s) - helmholtz equation , superposition principle , free space , space (punctuation) , gaussian , plane (geometry) , helmholtz free energy , plane wave , mathematical analysis , physics , mathematics , classical mechanics , optics , geometry , quantum mechanics , computer science , boundary value problem , operating system
Exact solutions of the 3D Helmholtz equation in free space are presented in the form of a superposition of plane waves. The solutions asymptotically reduce to general astigmatic Gaussian beams and include no backward waves.