United States of America As Represented by the Administrator of Nasa

David L Aronstein

Jeffrey Scott Smith

Bruce H Dean

Patrick L Thompson

Peter C Hill

Matthew R Bolcar

A method of measuring aberrations in a null-lens including assembly and alignment aberrations. The null-lens may be used for measuring aberrations in an aspheric optic with the null-lens. Light propagates from the aspheric optic location through the null-lens, while sweeping a detector through the null-lens focal plane. Image data being is collected at locations about said focal plane. Light is simulated propagating to the collection locations for each collected image. Null-lens aberrations may extracted, e.g., applying image-based wavefront-sensing to collected images and simulation results. The null-lens aberrations improve accuracy in measuring aspheric optic aberrations.

System and method for null-lens wavefront sensing

A rebinning device includes a rebinning engine that transforms signal data from a first format to a second format with vectorized binning. Moreover, a data storage operably coupled to the rebinning engine stores the signal data in the second format. The rebinning device may optionally includes a capturing engine that captures the signal data in the first format and a rendering engine that renders the signal data in the second format.

Vectorized rebinning for fast data down-sampling

Padding or adding data to a data signal can increase the speed with which a signal processor can process the data. Methods are provided herein that can accurately predict the optimal pad size of a two dimensional array of data, which can be used to increase the processing speed of a signal processor by optimizing run-time for a two-dimensional (2-D) fast Fourier transform (FFT) operation.

Optimal padding for the two-dimensional fast fourier transform

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.

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Silver Spring, MD, United States of America

David L Aronstein