/pdf/asymptotic-analysis-of-periodic-structures-14wjonu4ba.pdf

Asymptotic Analysis of Periodic Structures

We review theoretical and numerical studies of the inverse problem of electrical impedance tomography which seeks the electrical conductivity and permittivity inside a body, given simultaneous measurements of electrical currents and potentials at the boundary.

/pdf/electrical-impedance-tomography-3po2ct3t0v.pdf

Electrical impedance tomography

Stochastic differential equations

Transport equations for elastic and other waves in random media

Resonant multiple scattering of light

The statistical properties of acoustic signals reflected by a randomly layered medium are analyzed when a pulsed spherical wave issuing from a point source is incident upon it. The asymptotic analy...

/pdf/frequency-content-of-randomly-scattered-signals-5gjd1bowgl.pdf

Frequency content of randomly scattered signals

We consider a one‐dimensional medium with random index of refraction or a transmission line with random capacitance per unit length, allowing for impedance mismatch at the load and generator. We compute the expected value of the incident and reflected powers at any point between the generator and load in the limit of weak fluctuations and a long line. The results are compared with those of radiative transport theory and discrepancies show the limitations of that theory. Finally, we consider the spreading of pulses due to random fluctuations.

/pdf/power-statistics-for-wave-propagation-in-one-dimension-and-2rr98rlvm5.pdf

Power statistics for wave propagation in one-dimension and comparison with radiative transport theory. II

Wave propagation in a randomly inhomogeneous ocean

The asymptotic character of deterministic and stochastic equations whose solutions have a rapidly varying component is studied. Of particular interest is the class of problems for which the limiting behavior can be described in a contracted and simplified framework.

/pdf/asymptotic-analysis-of-deterministic-and-stochastic-40xs5so7o5.pdf

Werner E. Kohler

Papers

Frequency content of randomly scattered signals

Power statistics for wave propagation in one-dimension and comparison with radiative transport theory. II

Wave propagation in a randomly inhomogeneous ocean

Asymptotic analysis of deterministic and stochastic equations with rapidly varying components

Boundary and interface problems in regions with very rough boundaries