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Markov speckle for efficient random bit generation

Horstmeyer, Roarke and Chen, Richard Y. and Judkewitz, Benjamin and Yang, Changhuei (2012) Markov speckle for efficient random bit generation. Optics Express, 20 (24). pp. 26394-26410. ISSN 1094-4087.

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Optical speckle is commonly observed in measurements using coherent radiation. While lacking experimental validation, previous work has often assumed that speckle’s random spatial pattern follows a Markov process. Here, we present a derivation and experimental confirmation of conditions under which this assumption holds true. We demonstrate that a detected speckle field can be designed to obey the first-order Markov property by using a Cauchy attenuation mask to modulate scattered light. Creating Markov speckle enables the development of more accurate and efficient image post-processing algorithms, with applications including improved de-noising, segmentation and super-resolution. To show its versatility, we use the Cauchy mask to maximize the entropy of a detected speckle field with fixed average speckle size, allowing cryptographic applications to extract a maximum number of useful random bits from speckle images.

Item Type:Article
Related URLs:
URLURL TypeDescription
Horstmeyer, Roarke0000-0002-2480-9141
Yang, Changhuei0000-0001-8791-0354
Additional Information:© 2012 Optical Society of America. Original Manuscript: October 1, 2012. Revised Manuscript: October 30, 2012. Manuscript Accepted: October 31, 2012. Published: November 8, 2012. RH was supported in part by the National Defense Science and Engineering Graduate Fellowship Program. RYC was supported by Joel A. Tropp under AFOSR award FA9550-09-1-0643.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-09-1-0643
National Defense Science and Engineering Graduate (NDSEG) FellowshipUNSPECIFIED
Issue or Number:24
Classification Code:(030.6140) Speckle; (110.6150) Speckle Imaging
Record Number:CaltechAUTHORS:20130118-151818356
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Official Citation:Roarke Horstmeyer, Richard Y. Chen, Benjamin Judkewitz, and Changhuei Yang, "Markov speckle for efficient random bit generation," Opt. Express 20, 26394-26410 (2012)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:36486
Deposited By: Ruth Sustaita
Deposited On:18 Jan 2013 23:44
Last Modified:09 Mar 2020 13:19

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