title: Application of the fractional Fourier transform to the design of LCOS based optical interconnects and fiber switches.
abstract: It is shown that reflective liquid crystal on silicon (LCOS) spatial light modulator (SLM) based interconnects or fiber switches that use defocus to reduce crosstalk can be evaluated and optimized using a fractional Fourier transform if certain optical symmetry conditions are met. Theoretically the maximum allowable linear hologram phase error compared to a Fourier switch is increased by a factor of six before the target crosstalk for telecom applications of -40 dB is exceeded. A Gerchberg-Saxton algorithm incorporating a fractional Fourier transform modified for use with a reflective LCOS SLM is used to optimize multi-casting holograms in a prototype telecom switch. Experiments are in close agreement to predicted performance.
authors.affiliation: Department of Engineering, University of Cambridge, Cambridge, UK. br249@cam.ac.uk
authors.forename: Brian
authors.initials: B
authors.lastname: Robertson
authors.forename: Zichen
authors.initials: Z
authors.lastname: Zhang
authors.forename: Haining
authors.initials: H
authors.lastname: Yang
authors.forename: Maura M
authors.initials: MM
authors.lastname: Redmond
authors.forename: Neil
authors.initials: N
authors.lastname: Collings
authors.forename: Jinsong
authors.initials: J
authors.lastname: Liu
authors.forename: Ruisheng
authors.initials: R
authors.lastname: Lin
authors.forename: Anna M
authors.initials: AM
authors.lastname: Jeziorska-Chapman
authors.forename: John R
authors.initials: JR
authors.lastname: Moore
authors.forename: William A
authors.initials: WA
authors.lastname: Crossland
authors.forename: D P
authors.initials: DP
authors.lastname: Chu