Theory of anisotropic whispering-gallery-mode resonators

Journal Article · Fri Jul 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.013828· OSTI ID:22058787

Ornigotti, Marco ^[1]; Aiello, Andrea ^[1]

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1. Max Planck Institute for the Science of Light, Guenther-Scharowsky-Strasse 1/Bau24, D-91058 Erlangen (Germany)

An analytic solution for a uniaxial spherical resonator is presented using the method of Debye potentials. This serves as a starting point for the calculation of whispering gallery modes (WGMs) in such a resonator. Suitable approximations for the radial functions are discussed in order to best characterize WGMs. The characteristic equation and its asymptotic expansion for the anisotropic case is also discussed, and an analytic formula with a precision of the order O[{nu}{sup -1}] is also given. Our careful treatment of both boundary conditions and asymptotic expansions makes the present work a particularly suitable platform for a quantum theory of whispering gallery resonators.

• OSTI ID: 22058787
• Journal Information: Physical Review. A, Vol. 84, Issue 1; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANALYTICAL SOLUTION
ANISOTROPY
ASYMPTOTIC SOLUTIONS
BOUNDARY CONDITIONS
DEBYE LENGTH
EQUATIONS
OPTICAL SYSTEMS
OPTICS
POTENTIALS
RESONATORS
SPHERICAL CONFIGURATION