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Q: Fachverband Quantenoptik und Photonik

Q 21: Optomechanics I

Q 21.1: Vortrag

Montag, 5. März 2018, 16:15–16:30, K 0.023

Rotating ring resonators and Maxwell's equations in non-inertial frames — •Anton Lebedev — Institut für Theoretische Physik Tübingen, Tübingen

The majority of laws in physics is formally expressed in the form of (partial) differential equations (PDEs). Each differential equation remains incomplete without initial or boundary conditions.

Using Maxwell's equations and rotating planar domains I endeavour to highlight the intimate relationship between PDEs and boundary conditions. The necessity of the general covariant formulation of the laws of electrodynamics when dealing with accelerated motion will be highlighted. This will be used to derive of a Coriolis-Zeeman addendum to the wave equation for rotating ring resonators. All of the above will be done using the examples of isospectral domains and planar ring resonator models. Furthermore the use of the Coriolis-Zeeman term for a geometric classification of planar domains will be discussed.