Inventors:
Bruce H. Dean - New Market MD, US
Jeffrey Scott Smith - Baltimore MD, US
David L. Aronstein - Silver Spring MD, US
Assignee:
The United States of America as represented by the Administrator of the National Aeronautics and Space Administration - Washington DC
International Classification:
G02B 26/00, G06F 15/00
US Classification:
359239, 359900, 708403, 708405
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.