Analytic theory of coupling from tapered fibers and half-blocks into microsphere resonators
- 1 April 1999
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Journal of Lightwave Technology
- Vol. 17 (4) , 704-715
- https://doi.org/10.1109/50.754802
Abstract
Coupling from tapered fibers and polished half-block couplers into the high-Q whispering gallery modes of microsphere resonators is investigated analytically. Numerous formulas are derived to predict the external coupling Q values, and intrinsic whispering gallery loss, for arbitrary structures, and for any sphere mode. Phase-mismatch due to the differences in propagation constants between input and sphere modes is taken into account. These formulas are strictly mechanical once a simple characteristic equation is solved which relates the spherical mode orders to the resonant wave vector. Results are in very good agreement with values that are calculated by different numerical methods.Keywords
This publication has 22 references indexed in Scilit:
- Second-order filtering and sensing with partially coupled traveling waves in a single resonatorOptics Letters, 1998
- Track changing by use of the phase response of microspheres and resonatorsOptics Letters, 1998
- Phase-matched excitation of whispering-gallery-mode resonances by a fiber taperOptics Letters, 1997
- Morphology-dependent resonances of a microsphere–optical fiber systemOptics Letters, 1996
- Ultimate Q of optical microsphere resonatorsOptics Letters, 1996
- Quantized atom-field force at the surface of a microsphereOptics Letters, 1994
- Quantum nondemolition detection of single photons in an open resonator by atomic beam deflectionPhysics Letters A, 1994
- Coupling and tunability of optical whispering-gallery modes: a basis for coordinate meterOptics Communications, 1994
- Room-temperature microparticle-based persistent spectral hole burning memoryOptics Letters, 1991
- Time-independent perturbation for leaking electromagnetic modes in open systems with application to resonances in microdropletsPhysical Review A, 1990