Berlin 2015 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 48: Quantum Chaos (jointly with DY)

TT 48.2: Talk

Tuesday, March 17, 2015, 14:45–15:00, BH-N 334

How to deform a dielectric microcavity to get a given emission directionality — •Marcus Kraft and Jan Wiersig — Otto-von-Guericke-Universität Magdeburg, 39016 Magdeburg

An important characteristic of dielectric microcavities is the far field emission pattern. Here, we present a method to find an optimized deformation of the boundary of a microcavity to get a predetermined far field pattern. We write the symmetric deformation of the boundary in a Fourier series and put this ansatz into a perturbation theory for weakly deformed microcavities. By minimizing the difference between the resulted and desired far field pattern we develop a system of linear equations for the Fourier coefficients of the deformed boundary. A comparison to full numerical calculations is also presented.