Title :
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
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;
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
DOI :
10.1109/ICEAA.2007.4387237
