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math-ph2019★ 1 cited
Asymptotics of random resonances generated by a point process of delta-interactions
Sergio Albeverio, Illya M. Karabash
We introduce and study the following model for random resonances: we take a collection of point interactions generated by a simple finite point process in the 3-D space and c…
math.OC2019
Euler-Lagrange equations for full topology optimization of the Q-factor in leaky cavities
Matthias Eller, Illya M. Karabash
We derive Euler-Lagrange equations for the topology optimization of decay rate in 3-d lossy optical cavities. This leads to a new class of time-harmonic differential or integro-dif…