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

Author

Galdi, Vincenzo ; Castaldi, Giuseppe ; Pierro, Vincenzo ; Pinto, Innocenzo M. ; Agresti, Juri ; DeSalvo, Riccardo

Author_Institution

Univ. of Sannio, Benevento

fYear

2007

fDate

17-21 Sept. 2007

Firstpage

57

Lastpage

60

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.

Keywords

Fabry-Perot interferometers; Fourier transforms; Gauss-Laguerre-type representation; Gaussian-beam configuration; complex order fractional Fourier transform operators; flat-top beam configurations; generalized duality relation; gravitational interferometry; hyperboloidal beams; low-thermal-noise optical cavities; nearly-spheroidal Fabry-Perot optical cavities; Fabry-Perot; Gaussian processes; Geometrical optics; Laser beams; Mirrors; Optical beams; Optical interferometry; Optical noise; Optical sensors; Structural beams;

fLanguage

English

Publisher

ieee

Conference_Titel

Electromagnetics in Advanced Applications, 2007. ICEAA 2007. International Conference on

Conference_Location

Torino

Print_ISBN

978-1-4244-0767-5

Electronic_ISBN

978-1-4244-0767-5

Type

conf

DOI

10.1109/ICEAA.2007.4387237

Filename

4387237