Reciprocity and orthogonality relations for ring resonators

Journal Article · Sat Dec 01 00:00:00 EST 1984 · IEEE J. Quant. Electron.; (United States)

DOI:https://doi.org/10.1109/JQE.1984.1072319· OSTI ID:5811553

Wright, E M; Obrien, D P

A general and rigorous derivation of the reciprocity and orthogonality relations for ring resonators is given without resorting to matrix representations. The general form of the integral equations appropriate to the study of ring resonators containing at least one hard aperture is discussed, and a reciprocity relation for a very general class of ring resonator is established using a theorem concerning so-called Hilbert-Schmidt kernels. It is shown that under very general conditions linear ring resonators are reciprocal and that the transverse eigenmodes for propagation in any direction around the resonator are biorthogonal to those for propagation in the opposite direction. 17 references.

• Research Organization: Max-Planck-Institut fuer Quantenoptik, Garching, West Germany
• OSTI ID: 5811553
• Journal Information: IEEE J. Quant. Electron.; (United States), Vol. QE-20
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
RING LASERS
RESONANCE
APERTURES
EIGENVALUES
INTEGRAL EQUATIONS
MATHEMATICAL MODELS
EQUATIONS
LASERS
OPENINGS
420300* - Engineering- Lasers- (-1989)