Dome-shaped microresonators and the Born-Oppenheimer method

نویسندگان

  • Jens U. Nöckel
  • David H. Foster
چکیده

Numerical studies of the vector electromagnetic fields in plano-concave microresonators have recently revealed that a photonic analogue of spin-orbit coupling can occur in paraxial geometries. Laguerre-Gauss modes with circular polarization are then no longer the correct eigenstates, even if the resonator is axially symmetric. A crucial role in this effect is played by the presence of a boundary (e.g., a Bragg mirror) whose reflectivity at nonnormal incidence is polarization-dependent. Aiming for an analytical treatment that can incorporate both form birefringence and non-paraxiality, we explore the Born-Oppenheimer method as an alternative to the paraxial approximation. The conditions for the validity of these two approaches are different, but in a regime where they overlap we show that all the major results of paraxial theory can also be derived from the Born-Oppenheimer method. We discuss how this new approach can incorporate the Bragg stack physics in a way that can overcome the limitations of paraxial theory.

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تاریخ انتشار 2007