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A phase space model of Fourier ptychographic microscopy

Horstmeyer, Roarke and Yang, Changhuei (2014) A phase space model of Fourier ptychographic microscopy. Optics Express, 22 (1). pp. 338-358. ISSN 1094-4087. PMCID PMC3926543.

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A new computational imaging technique, termed Fourier ptychographic microscopy (FPM), uses a sequence of low-resolution images captured under varied illumination to iteratively converge upon a high-resolution complex sample estimate. Here, we propose a mathematical model of FPM that explicitly connects its operation to conventional ptychography, a common procedure applied to electron and X-ray diffractive imaging. Our mathematical framework demonstrates that under ideal illumination conditions, conventional ptychography and FPM both produce datasets that are mathematically linked by a linear transformation. We hope this finding encourages the future cross-pollination of ideas between two otherwise unconnected experimental imaging procedures. In addition, the coherence state of the illumination source used by each imaging platform is critical to successful operation, yet currently not well understood. We apply our mathematical framework to demonstrate that partial coherence uniquely alters both conventional ptychography’s and FPM’s captured data, but up to a certain threshold can still lead to accurate resolution-enhanced imaging through appropriate computational post-processing. We verify this theoretical finding through simulation and experiment.

Item Type:Article
Related URLs:
URLURL TypeDescription DOIArticle CentralArticle
Horstmeyer, Roarke0000-0002-2480-9141
Yang, Changhuei0000-0001-8791-0354
Additional Information:© 2014 Optical Society of America. Received 22 Oct 2013; revised 16 Dec 2013; accepted 17 Dec 2013; published 2 Jan 2014. The authors acknowledge funding support from the National Institutes of Health (grant no. 1DP2OD007307-01) and Clearbridge Biophotonics Pte Ltd., Singapore (Agency Award no. Clearbridge 1). The authors would like to thank Mark Harfouche, Benjamin Judkewitz and Xiaoze Ou for helpful feedback during manuscript preparation.
Funding AgencyGrant Number
Clearbridge BiophotonicsUNSPECIFIED
Issue or Number:1
Classification Code:OCIS Codes: (110.1758) Computational imaging; (110.4980) Partial coherence in imaging; (070.7425) Quasi-probability distribution functions; (080.5084) Phase space methods of analysis
PubMed Central ID:PMC3926543
Record Number:CaltechAUTHORS:20140307-103704952
Persistent URL:
Official Citation:R. Horstmeyer and C. Yang, "A phase space model of Fourier ptychographic microscopy," Opt. Express 22, 338-358 (2014)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:44192
Deposited By: Tony Diaz
Deposited On:13 Mar 2014 22:08
Last Modified:09 Mar 2020 13:19

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