Title :
Time Division Fast Linear Canonical Transform
Author :
Healy, J.J. ; Sheridan, J.T.
Author_Institution :
Sch. of Electr., Electron. & Mech. Eng., Univ. Coll. Dublin
Abstract :
Any paraxial optical system which can be implemented using only thin lenses and propagation through free space or through sections of graded index (GRIN) media belongs to the class of systems known as quadratic phase systems (QPS). Given some input optical wave field, the output of any QPS can be described using the linear canonical transform (LCT). In this paper, we examine a new, more flexible numerical implementation of the FLCT. This algorithm is similar to the Cooley-Tukey FFT algorithm, and is of general radix
Keywords :
gradient index optics; lenses; transforms; Cooley-Tukey FFT algorithm; GRIN; QPS; class of system; fast Fourier transform; fast linear canonical transform; free space propagation; graded index media; numerical implementation; optical wave field; paraxial optical system; quadratic phase system; thin lens; time division FLCT; Collins Integral; Fast Algorithms; Generalised Fresnel Transform; Linear Canonical Transform; Quadratic-phase Integral; the FFT;
Conference_Titel :
Irish Signals and Systems Conference, 2006. IET
Conference_Location :
Dublin
Print_ISBN :
0-86341-665-9
