Removal of algorithmic stagnation by augmented iterative phase retrieval

Fatima, A. and Faccio, D. (2024) Removal of algorithmic stagnation by augmented iterative phase retrieval. Optics Express, 32(9), pp. 16016-16026. (doi: 10.1364/OE.520066)

Abstract

Retrieving the phase of an optical field using intensity measurements is one of the most widespread and studied inverse problems in classical optics. However, common iterative approaches such as the Gerchberg-Saxton algorithm and its derivatives suffer from the twin-image problem – the iterative minimisation stagnates and the recovered field contains features from both the target field and its point-reflection. We present a technique that leverages mathematical properties of the stagnated field, to constrain the problem and remove the twin image artefacts. This improvement in reconstruction robustness has implications in a range of fields, including applications in adaptive optics, holography and optical communications.

• Item Type: Articles
• Additional Information: Funding. The authors acknowledge financial support from the Royal Academy of Engineering under the Chairs in Emerging Technology and the U.K. Engineering and Physical Sciences Research Council (Grants No. EP/T002123/1,EP/T00097X/1, EP/Y029097/1).
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Faccio, Professor Daniele and Fatima, Dr Areeba
• Authors: Fatima, A., and Faccio, D.
• College/School: College of Science and Engineering > School of Physics and Astronomy
• Journal Name: Optics Express
• Publisher: Optica Publishing Group
• ISSN: 1094-4087
• ISSN (Online): 1094-4087
• Copyright Holders: Copyright: Journal © 2024
• First Published: First published in Optics Express 32(9): 16016-16026
• Publisher Policy: Reproduced under a Creative Commons licence

Project Code	Award No	Project Name	Principal Investigator	Funder's Name	Funder Ref	Lead Dept
306629		Harnessing the physics of light to reveal mechanisms of multicellular shape and movement	Laura Machesky	Engineering and Physical Sciences Research Council (EPSRC)	EP/T002123/1	SCS - Beatson Institute for Cancer Research
305567		QuantIC - The UK Quantum Technoogy Hub in Quantum Enhanced Imaging	Miles Padgett	Engineering and Physical Sciences Research Council (EPSRC)	EP/T00097X/1	P&S - Physics & Astronomy
318340		Boson Sampling and Quantum Imaging for Complex Biological Systems	Daniele Faccio	EPSRC EU Guarantee (EPSRCEU)	EP/Y029097/1	P&S - Physics & Astronomy