Photonic Crystals: Mathematical Analysis and Numerical Approximation
Contains a general introduction to the so-called Floquet-Bloch theory, which provides analytical tools to investigate the spectrum of periodic differential operators.
Describes the numerical technique to solve Maxwell eigenvalue problems to compute the bandstructure of 3D photonic crystals.
Introduces the theory of direct and inverse scattering and applies it to periodic media.
Investigation of nonlinear optical effects in wave guides that can be described by the nonlinear Schrödinger equation.
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Part of the Oberwolfach Seminars book series (OWS, volume 42)