3 papers
math.AP2025
Operator aspects of wave propagation through periodic media
Kirill Cherednichenko, Yi-Sheng Lim
Recent results in quantitative homogenisation of the wave equation with rapidly oscillating coefficients are discussed from the operator-theoretic perspective, which views the solu…
math-ph2018
Frequency-dependent impedance and surface waves on the boundary of a stratified dielectric medium
Kirill Cherednichenko, William Graham
We analyse waves that propagate along the interface between a dielectric half-space and a half-space filled with a Lorentz material. We show that the corresponding interface condit…
math-ph2018
Two-scale series expansions for travelling wave packets in one-dimensional periodic media
Kirill Cherednichenko
Starting from the wave equation for a medium with material properties that vary periodically, we study a system of recurrence relations that describe propagation of wave packets th…