Title :
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
fDate :
4/1/1999 12:00:00 AM
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;
Journal_Title :
Lightwave Technology, Journal of
