TY - JOUR
T1 - GENERALIZED MODE THEORY OF CONVENTIONAL AND PHASE-CONJUGATE RESONATORS.
AU - Nazarathy, Moshe
AU - Hardy, Amos
AU - Shamir, Joseph
PY - 1983
Y1 - 1983
N2 - The phase-conjugation operator is investigated in the context of the canonical operator theory of first-order optics, which was introduced in a previous series of articles. The matrix representation of this operator and its action on the generalized modes are derived, elucidating the relation between forward and reversed propagation in this new context. The resulting formalism makes possible the derivation of the eigenmodes of conventional and phase-conjugated resonators with loss or gain. Various resonator properties - confinement, stability, mode biorthogonality, and real or complex character of the spot-size parameter - simply follow from the guiding-ray-label representation.
AB - The phase-conjugation operator is investigated in the context of the canonical operator theory of first-order optics, which was introduced in a previous series of articles. The matrix representation of this operator and its action on the generalized modes are derived, elucidating the relation between forward and reversed propagation in this new context. The resulting formalism makes possible the derivation of the eigenmodes of conventional and phase-conjugated resonators with loss or gain. Various resonator properties - confinement, stability, mode biorthogonality, and real or complex character of the spot-size parameter - simply follow from the guiding-ray-label representation.
UR - http://www.scopus.com/inward/record.url?scp=0020750754&partnerID=8YFLogxK
U2 - 10.1364/JOSA.73.000576
DO - 10.1364/JOSA.73.000576
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AN - SCOPUS:0020750754
VL - 73
SP - 576
EP - 586
JO - Journal of the Optical Society of America
JF - Journal of the Optical Society of America
SN - 0030-3941
IS - 5
ER -