Hankel-Bessel laser beams

Hankel-Bessel laser beams

An analytical solution of the scalar Helmholtz equation to describe the propagation of a laser light beam in the positive direction of the optical axis is derived. The complex amplitude of such a beam is found to be in direct proportion to the product of two linearly independent solutions of Kummer&...

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Veröffentlicht in:Journal of the Optical Society of America. A, Optics, image science, and vision Optics, image science, and vision, 2012-05, Vol.29 (5), p.741-747
Hauptverfasser: Kotlyar, Victor V, Kovalev, Alexey A, Soifer, Victor A
Format: Artikel
Sprache:eng
Schlagworte:
Beams (radiation)
Differential equations
Focusing
Laser beams
Lasers
Mathematical analysis
Scalars
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Beschreibung
Zusammenfassung:An analytical solution of the scalar Helmholtz equation to describe the propagation of a laser light beam in the positive direction of the optical axis is derived. The complex amplitude of such a beam is found to be in direct proportion to the product of two linearly independent solutions of Kummer's differential equation. Relationships for a particular case of such beams-namely, the Hankel-Bessel (HB) beams-are deduced. The focusing of the HB beams is studied.
ISSN:1084-7529
1520-8532
DOI:10.1364/JOSAA.29.000741