Analytic theory of coupling from tapered fibers and half-blocks into microsphere resonators

Author

Little, Brent E. ; Laine, J.-P. ; Haus, Hermann A.

Author_Institution

Res. Lab. of Electron., MIT, Cambridge, MA, USA

Volume

17

Issue

4

fYear

1999

fDate

4/1/1999 12:00:00 AM

Firstpage

704

Lastpage

715

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

coupled mode analysis; micro-optics; optical fibre couplers; optical fibre theory; optical losses; optical resonators; arbitrary structures; external coupling Q values; half-blocks; high-Q whispering gallery modes; input modes; intrinsic whispering gallery loss; microsphere resonators; numerical methods; phase-mismatch; polished half-block couplers; propagation constants; resonant wave vector; sphere modes; tapered optical fiber coupling; Dielectric measurements; Equations; Laboratories; Optical fiber couplers; Optical fiber devices; Optical fiber theory; Optical resonators; Propagation constant; Resonance; Whispering gallery modes;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.754802

Filename

754802