title: Spherical beam volume holograms for spectroscopic applications: modeling and implementation.
abstract: The spherical beam volume hologram, recorded by a plane wave and a spherical beam, is investigated for spectroscopic applications in detail. It is shown that both the diffracted and the transmitted beam can be used for spectroscopy when the hologram is read with a collimated beam. A new method is introduced and used for analysis of the spherical beam volume hologram that can be extended for analysis of arbitrary holograms. Experimental results are consistent with the theoretical study. It is shown that the spherical beam volume hologram can be used in a compact spectroscopic configuration when the transmitted beam is monitored. Also, on the basis of the properties of the spherical beam hologram, the response of a hologram recorded by a plane wave and an arbitrary pattern is predicted. The information can be used to optimize holographic spectrometer design.
authors.affiliation: School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0250, USA. omid@ece.gatech.edu
authors.forename: Omid
authors.initials: O
authors.lastname: Momtahan
authors.forename: Chao Ray
authors.initials: CR
authors.lastname: Hsieh
authors.forename: Arash
authors.initials: A
authors.lastname: Karbaschi
authors.forename: Ali
authors.initials: A
authors.lastname: Adibi
authors.forename: Michael E
authors.initials: ME
authors.lastname: Sullivan
authors.forename: David J
authors.initials: DJ
authors.lastname: Brady
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D006696:Holography / Q000379:methods*; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D008962:Models, Theoretical; D012031:Refractometry / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D013057:Spectrum Analysis / Q000379:methods*