title: Wigner analysis of three dimensional pupil with finite lateral aperture.
abstract: A three dimensional (3D) pupil is an optical element, most commonly implemented on a volume hologram, that processes the incident optical field on a 3D fashion. Here we analyze the diffraction properties of a 3D pupil with finite lateral aperture in the 4-f imaging system configuration, using the Wigner Distribution Function (WDF) formulation. Since 3D imaging pupil is finite in both lateral and longitudinal directions, the WDF of the volume holographic 4-f imager theoretically predicts distinct Bragg diffraction patterns in phase space. These result in asymmetric profiles of diffracted coherent point spread function between degenerate diffraction and Bragg diffraction, elucidating the fundamental performance of volume holographic imaging. Experimental measurements are also presented, confirming the theoretical predictions.
authors.forename: Hsi-Hsun
authors.initials: HH
authors.lastname: Chen
authors.forename: Se Baek
authors.initials: SB
authors.lastname: Oh
authors.forename: Xiaomin
authors.initials: X
authors.lastname: Zhai
authors.forename: Jui-Chang
authors.initials: JC
authors.lastname: Tsai
authors.forename: Liang-Cai
authors.initials: LC
authors.lastname: Cao
authors.forename: George
authors.initials: G
authors.lastname: Barbastathis
authors.forename: Yuan
authors.initials: Y
authors.lastname: Luo
mesh_terms: D003198:Computer Simulation; D017076:Computer-Aided Design; D004867:Equipment Design; D019544:Equipment Failure Analysis; D006696:Holography / Q000295:instrumentation* / Q000379:methods; D007090:Image Interpretation, Computer-Assisted / Q000295:instrumentation / Q000379:methods; D021621:Imaging, Three-Dimensional / Q000295:instrumentation*; D007909:Lenses; D008027:Light; D008962:Models, Theoretical; D012031:Refractometry / Q000295:instrumentation* / Q000379:methods; D012542:Scattering, Radiation
references.citation: Opt Express. 2010 Aug 30;18(18):19273-85
references.pmid: 20940823
references.citation: Opt Lett. 2013 Feb 15;38(4):477-9
references.pmid: 23455108
references.citation: Opt Lett. 2008 Mar 15;33(6):566-8
references.pmid: 18347711
references.citation: Opt Lett. 2002 May 15;27(10):854-6
references.pmid: 18007950
references.citation: Laser Photon Rev. 2014 Sep;8(5):L71-L75
references.pmid: 25678936
references.citation: Appl Opt. 2008 Jan 1;47(1):45-51
references.pmid: 18157275
references.citation: Opt Express. 2008 May 12;16(10):7516-24
references.pmid: 18545457
references.citation: Opt Express. 2003 Dec 1;11(24):3202-9
references.pmid: 19471446
references.citation: Opt Lett. 2009 Sep 1;34(17):2584-6
references.pmid: 19724497
references.citation: Opt Lett. 2007 Dec 15;32(24):3492-4
references.pmid: 18087519
references.citation: Opt Lett. 2010 Mar 1;35(5):781-3
references.pmid: 20195351
references.citation: Appl Opt. 2006 Jun 1;45(16):3774-80
references.pmid: 16724136