177 citations · 1.1k across the 36 of their papers we have counts for
37 papers
Inversion of band-limited discrete Fourier transforms of binary images: Uniqueness and algorithms
Howard W. Levinson, Vadim A. Markel, Nicholas Triantafillou
Conventional inversion of the discrete Fourier transform (DFT) requires all DFT coefficients to be known. When the DFT coefficients of a rasterized image (represented as a matrix)…
Binary Discrete Fourier Transform and its Inversion
Howard W. Levinson, Vadim A. Markel
A binary vector of length has elements that are either 0 or 1. We investigate the question of whether and how a binary vector of known length can be reconstructed from a limite…
Trefftz Approximations in Complex Media: Accuracy and Applications
Igor Tsukerman, Shampy Mansha, Y. D. Chong +1
Approximations by Trefftz functions are rapidly gaining popularity in the numerical solution of boundary value problems of mathematical physics. By definition, these functions sati…
Reciprocity relation for the vector radiative transport equation and its application to diffuse optical tomography with polarized light
Ugo Tricoli, Callum M. Macdonald, Anabela Da Silva +1
We derive a reciprocity relation for vector radiative transport equation (vRTE) that describes propagation of polarized light in multiple-scattering media. We then show how this re…
Can photonic crystals be homogenized in higher bands?
Vadim A. Markel, Igor Tsukerman
We consider conditions under which photonic crystals (PCs) can be homogenized in the higher photonic bands and, in particular, near the -point. By homogenization we mean introdu…
Nonasymptotic Homogenization of Periodic Electromagnetic Structures: Uncertainty Principles
Igor Tsukerman, Vadim A. Markel
We show that artificial magnetism of periodic dielectric or metal/dielectric structures has limitations and is subject to at least two "uncertainty principles". First, the stronger…