2 papers
physics.optics2026
On photonic band gaps in two-dimensional photonic crystal fibres. Analysis in the vicinity of the low-dielectric light line
Shane Cooper, Ilia Kamotski
We consider `off-axis' electromagnetic wave propagation down the homogeneous direction of a low-loss two-dimensional periodic dielectric (or photonic crystal fibre) near the light…
math.AP2025
Quantitative homogenisation for differential equations with highly anisotropic partially degenerating coefficients
Shane Cooper, Ilia Kamotski
We consider a non-uniformly elliptic second-order differential operator with periodic coefficients that models composite media consisting of highly anisotropic cylindrical fibres p…