CaltechAUTHORS
Published September 2007 | Version Published
Book Section - Chapter Open

Analytic Properties of a Class of Hyperboloidal Beams in Nearly-Spheroidal Fabry-Perot Optical Cavities

Creators

  • 1. ROR icon University of Sannio
  • 2. ROR icon University of Pisa
  • 3. ROR icon California Institute of Technology

Abstract

This paper deals with a study of the analytic structure and properties of a family of "hyperboloidal" beams (HBs) which spans from the standard Gaussian-beam configuration to "flat-top" beam configurations of interest for low-thermal-noise optical cavities for gravitational interferometry. In this connection, starting from a Gauss-Laguerre-type representation, a generalized duality relation (involving fractional Fourier transform operators of complex order) between two generic HBs is derived.

Additional Information

© 2007 IEEE.

Attached Files

Published - 04387237.pdf

Files

04387237.pdf

Files (307.8 kB)

Name Size
md5:fb150756283ef4c8539bd961d245bd00
307.8 kB Preview Download

Additional details

Identifiers

Eprint ID
76964
Resolver ID
CaltechAUTHORS:20170426-153750387

Dates

Created
2017-04-26
Created from EPrint's datestamp field
Updated
2021-11-15
Created from EPrint's last_modified field