Mode structure and ray dynamics of a parabolic dome microcavity

Details Mode structure and ray dynamics of a parabolic dome microcavity Mode structure and ray dynamics of a parabolic dome microcavity

2001-01-02

arxiv.org/abs/physics/0101011v1

Phys.Rev.E Vol. 62, 8677 (2000)

Physics

Optics

50 pages, 17 figures

Scientific paper

10.1103/PhysRevE.62.8677

We consider the wave and ray dynamics of the electromagnetic field in a parabolic dome microcavity. The structure of the fundamental s-wave involves a main lobe in which the electromagnetic field is confined around the focal point in an effective volume of the order of a cubic wavelength, while the modes with finite angular momentum have a structure that avoids the focal area and have correspondingly larger effective volume. The ray dynamics indicates that the fundamental s-wave is robust with respect to small geometrical deformations of the cavity, while the higher order modes are associated with ray chaos and short-lived. We discuss the incidence of these results on the modification of the spontaneous emission dynamics of an emitter placed in such a parabolic dome microcavity.

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