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We introduce a new approach for narrow band array imaging of localized scatterers from intensity-only measurements by considering the possibility of reconstructing the positions and reflectivities of the scatterers exactly from only partial knowledge of the array data, since we assume that phase information is not available. We reformulate this(More)
We derive some new structural results for the transfer matrix of squarelattice Potts models with free and cylindrical boundary conditions. In particular, we obtain explicit closed-form expressions for the dominant (at large |q|) diagonal entry in the transfer matrix, for arbitrary widths m, as the solution of a special one-dimensional polymer model. We also(More)
and Applied Analysis 3 Here, R󸀠(κ)∗R(κ) is the Fréchet derivative of the residual operatorR(κ)with respect to κ, and the forcing termpoints in the descent direction of the least squares cost; t is the artificial iteration time, and C is a conveniently chosen constant. The Fréchet derivative can be calculated efficiently using the adjoint formulation (see(More)
We prove that for the class of three-colorable triangulations of a closed oriented surface, the degree of a four-coloring modulo 12 is an invariant under Kempe changes. We use this general result to prove that for all triangulations T (3L, 3M) of the torus with 3 ≤ L ≤ M , there are at least two Kempe equivalence classes. This result implies in particular(More)
Ivan Agullo,1 J. Fernando Barbero G.,2 Enrique F. Borja,3 Jacobo Diaz-Polo,4 and Eduardo J. S. Villaseñor5, 2 1Physics Department, University of Wisconsin-Milwaukee, P.O.Box 413, Milwaukee, WI 53201 USA 2Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, Spain 3Institute for Theoretical Physics III, University of Erlangen-Nürnberg,(More)
Iván Agulló,* J. Fernando Barbero G., Enrique F. Borja, Jacobo Dı́az-Polo,4,x and Eduardo J. S. Villaseñor5,3,k Physics Department, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, Wisconsin 53201 USA Departamento de Fı́sica Teórica and Instituto de Fı́sica Corpuscular (IFIC), Centro Mixto Universidad de Valencia–Consejo Superior de(More)
J. Fernando Barbero G., 2, ∗ Jorge Prieto, † and Eduardo J. S. Villaseñor 2, ‡ 1Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, Spain 2Grupo de Teorı́as de Campos y Fı́sica Estadı́stica, Instituto Universitario Gregorio Millán Barbany, Universidad Carlos III de Madrid, Unidad Asociada al IEM-CSIC. 3Instituto Gregorio Millán, Grupo de(More)
Abstract. We present a comprehensive study of the resolution and stability properties of sparse promoting optimization theories applied to narrow band array imaging of localized scatterers. We consider homogeneous and heterogeneous media, and multiple and single scattering situations. When the media is homogeneous with strong multiple scattering between(More)
J. Fernando Barbero G.,* Jerzy Lewandowski, and Eduardo J. S. Villaseñor Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, Spain Instytut Fizyki Teoretycznej, Uniwersytet Warszawski, ul. Hoża 69, 00-681 Warsaw, Poland Instituto Gregorio Millán, Grupo de Modelización y Simulación Numérica, Universidad Carlos III de Madrid, Avda. de la(More)