79 citations · 145 across the 8 of their papers we have counts for
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math-ph2015★ 3 cited
Two-Scale Approach to an Asymptotic Solution of Maxwell Equations in Layered Periodic Media
Maria V. Perel, Mikhail S. Sidorenko
An asymptotic investigation of monochromatic electromagnetic fields in a layered periodic medium is carried out under the assumption that the wave frequency is close to the frequen…
math-ph2008★ 30 cited
Wavelet-based integral representation for solutions of the wave equation
M. V. Perel, M. S. Sidorenko
An integral representation of solutions of the wave equation as a superposition of other solutions of this equation is built. The solutions from a wide class can be used as buildin…
math-ph2007
New physical wavelet 'Gaussian Wave Packet'
Maria V Perel, Mikhail S Sidorenko
An exact solution of the homogeneous wave equation, which was found previously, is treated from the point of view of continuous wavelet analysis (CWA). If time is a fixed parameter…