NDLI: Phase-space measurement and coherence synthesis of optical beams

Content Provider	IEEE Xplore Digital Library
Author	Waller, L. Situ, G. Fleischer, J.W.
Copyright Year	2013
Description	Author affiliation: Princeton Univ., Princeton, NJ, USA (Fleischer, J.W.) \|\| Univ. of California, Berkeley, Berkeley, CA, USA (Waller, L.) \|\| Shanghai Inst. of Opt. & Fine Mech., Shanghai, China (Situ, G.)
Abstract	Summary form only given. Phase-space optics allows simultaneous visualization of both space (x) and spatial frequency (k) information. This is in distinct contrast with normal measurements, such as normal images and Fourier transforms, which record intensities in x-space or k-space only. For coherent beams, which are fully described by a 2D complex function (e.g. amplitude and phase), a phase-space description is useful but redundant. For partially coherent beams, on the other hand, each position x in the beam can have its own local power spectrum, so that a 4D description is often necessary. This is particularly true for propagation, as the beam coherence determines the evolution of its intensity. While a variety of theories has been developed to describe phase-space properties [1], there has been very little progress on the experimental front. Pinhole (Hartmann) or lenslet (Shack-Hartmann) arrays are most commonly used, but the arrays force a trade-off between spatial and angular sampling, usually resulting in poor resolution [2] (and often reduced dynamic range [3]) in both domains. Here, we demonstrate an alternative method for obtaining 4D phase-space distributions quickly, without sacrificing resolution in either dimension [4].The experimental setup is shown in Fig. 1. For measurement, we record a spatial spectrogram (windowed Wigner distribution function) by using a Spatial Light Modulator (SLM) to scan an aperture across the transverse field of the beam. The method is simple, fast, and free of mechanical scanning errors and artifacts [5]. For coherence control, we use a second SLM as a dynamically changing local diffuser with spatially varying statistics, allowing design and creation of arbitrary phase-space distributions. An example is shown Fig. 2, in which each small region in {x} has a variable Gaussian distribution in {k}. Traditional measurements along the marginals of the 4D distribution, i.e. the intensity and power spectrum projections 1(x) = f f(x, k)dk and S(k) = f f(x, k)dx, miss the coherence properties within the volume of phase space. Measurement and control of such higher-dimensional beams will have applications in coherence holography, encoding, illumination, and display.
Sponsorship	Eur. Phys. Soc.
Starting Page	1
Ending Page	1
File Size	250677
Page Count	1
File Format	PDF
e-ISBN	9781479905942
DOI	10.1109/CLEOE-IQEC.2013.6801208
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-05-12
Publisher Place	Germany
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Phase measurement Power measurement Measurement by laser beam Coherence Optics Laser beams Optical beams
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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