Abstract

This paper presents a theory of the transformation of the waist position and waist size of a Gaussian beam by a thick lens. We clarify the effects of lens thickness and shape on the transformed waist parameters. For equiconvex and equiconcavelenses, the effects of the thickness on the transformed parameters are significant when the Rayleigh length of the incident beam is small compared with the focal length of a thin positive lens. For plano-convex and plano-concave lenses, the waist parameters of the transmitted beam depend largely on whether the flat or curved side faces the incident beam. The conditions for locating the waist at a prescribed position in a spherical shell or a sphere are also given in terms of the waist parameters of the incident beam.

© 1990 Optical Society of America

Simple expressions for Gaussian-beam-waist parameters imaged by a thick lens

E. Cojocaru
Appl. Opt. 34(13) 2336-2338 (1995)

TECHNICAL NOTE Afocal drum lens as a beam-waist transformer

Yajun Li
Appl. Opt. 33(4) 709-711 (1994)

Determination of waist parameters of a Gaussian beam

Shojiro Nemoto
Appl. Opt. 25(21) 3859-3863 (1986)

Waist shift of a Gaussian beam by plane dielectric interfaces

Shojiro Nemoto
Appl. Opt. 27(9) 1833-1839 (1988)

Effective beam parameters and the turbulent beam waist for convergent Gaussian beams

J. C. Ricklin, W. B. Miller, and L. C. Andrews
Appl. Opt. 34(30) 7059-7065 (1995)