Method for utilizing properties of the sinc(x) function for phase retrieval on nyquist-under-sampled data

US8274726B2 · kind B2 · utility

Assignee

• The United States of America as represented by the Administrator of the National Aeronautics and Space Administration · US

Inventors

• Bruce H. Dean · New Market, US
• Jeffrey S. Smith · Overland Park, US
• David L. Aronstein · Silver Spring, US

Key dates

• Filing date: Jul 19, 2010
• Grant date: Sep 25, 2012
• Expiry date: Mar 25, 2031

Classification

• Technology area (CPC G): Physics
• CPC primary: G06F17/141
• WIPO field: Computer technology
• WIPO sector: Electrical engineering

Abstract

Disclosed herein are systems, methods, and non-transitory computer-readable storage media for simulating propagation of an electromagnetic field, performing phase retrieval, or sampling a band-limited function. A system practicing the method generates transformed data using a discrete Fourier transform which samples a band-limited function f(x) without interpolating or modifying received data associated with the function f(x), wherein an interval between repeated copies in a periodic extension of the function f(x) obtained from the discrete Fourier transform is associated with a sampling ratio Q, defined as a ratio of a sampling frequency to a band-limited frequency, and wherein Q is assigned a value between 1 and 2 such that substantially no aliasing occurs in the transformed data, and retrieves a phase in the received data based on the transformed data, wherein the phase is used as feedback to an optical system.