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On Short Sums Of Trace Functions

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Theoretical Investigation of Iterative Phase Retrieval Algorithm for Quasi-Optical Millimeter-Wave RF Beams

Stefano Alberti, Jean-Philippe Hogge

In this paper, we present a detailed analysis of the iterative phase retrieval approach (TPRA) for determining the phase profile of the output microwave beam of a gyrotron from known intensity patterns emphasizing the field propagation techniques which are ...

IEEE2009

On Sampling Lattices with Similarity Scaling Relationships

Dimitri Nestor Alice Van De Ville, Thierry Blu

We provide a method for constructing regular sampling lattices in arbitrary dimensions together with an integer dilation matrix. Subsampling using this dilation matrix leads to a similarity-transformed version of the lattice with a chosen density reduction ...

LATP2009

Fast focus field calculations

Theo Lasser, Marcel Leutenegger, Rainer Leitgeb

We present a method for fast calculation of the electromagnetic field near the focus of an objective with a high numerical aperture (NA). Instead of direct integration, the vectorial Debye diffraction integral is evaluated with the fast Fourier transform f ...

SPIE2008

Fast focus field calculations

Theo Lasser, Marcel Leutenegger, Rainer Leitgeb

2008

Fast spin +-2 spherical harmonics transforms and application in cosmology

Pierre Vandergheynst, Yves Wiaux, Laurent Jacques

A fast and exact algorithm is developed for the spin +-2 spherical harmonics transforms on equi-angular pixelizations on the sphere. It is based on the Driscoll and Healy fast scalar spherical harmonics transform. The theoretical exactness of the transform ...

2007

Fast focus field calculations

Theo Lasser, Marcel Leutenegger, Rainer Leitgeb, Ramachandra Rao

We present a fast calculation of the electromagnetic field near the focus of an objective with a high numerical aperture (NA). Instead of direct integration, the vectorial Debye diffraction integral is evaluated with the fast Fourier transform for calculat ...

2006

Temperature dependence of the photoluminescence lifetime in disordered quantum wires

Benoît Marie Joseph Deveaud, Vincenzo Savona, Andrea Feltrin

We present a theoretical model of the time-resolved excitonic photoluminescence in quantum wires. We study the role of disorder on the temperature dependence of the photoluminescence lifetime. We find that at low temperature the exciton population is not t ...

V C H PUBLISHERS, SUITE 909, 220 E 23RD ST, NEW YORK, NY 10010 USA2004

Discrete Ridgelet Transforms for Image Representation

Martin Vetterli, Minh Do

The ridgelet transform (Candes and Donoho, 1999) was introduced as a new multiscale representation for functions on continuous spaces that are smooth away from discontinuities along lines. In this paper, we present several discrete versions of the ridgelet ...

2001

Transform domain allocation scheme for multimedia watermarking

NOVELTY - The watermark is made imperceptible, e.g. invisible or inaudible, by inserting it into selected parts of the data that are neither significant nor insignificant perceptually. Examples for the domain of embedding are complex Fourier coefficients a ...

2000

Fast and precise Fourier Transforms

Mohammad Amin Shokrollahi

Many applications of fast Fourier transforms (FFTs), such as computer tomography, geophysical signal processing, high-resolution imaging radars, and prediction filters, require high-precision output. An error analysis reveals that the usual method of fixed ...

2000