Cross-polarization coupling of whispering-gallery modes due to the spin&#x2013;orbit interaction of light

A. T. Rosenberger; Elijah B. Dale; Khoa V. Bui; Erik K. Gonzales; D. Ganta; Limu Ke; Sreekul Raj Rajagopal

doi:10.1364/OL.44.004163

Optics Letters
Vol. 44,
Issue 17,
pp. 4163-4166
(2019)
•https://doi.org/10.1364/OL.44.004163

Cross-polarization coupling of whispering-gallery modes due to the spin–orbit interaction of light

A. T. Rosenberger, Elijah B. Dale, Khoa V. Bui, Erik K. Gonzales, D. Ganta, Limu Ke, and Sreekul Raj Rajagopal

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A. T. Rosenberger, Elijah B. Dale, Khoa V. Bui, Erik K. Gonzales, D. Ganta, Limu Ke, and Sreekul Raj Rajagopal, "Cross-polarization coupling of whispering-gallery modes due to the spin–orbit interaction of light," Opt. Lett. 44, 4163-4166 (2019)

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Abstract

Light can couple between two orthogonally polarized whispering-gallery modes of a microresonator; the effect is easily observable when those modes are frequency degenerate, and can result in coupled-mode induced transparency (CMIT). Experimental observations of CMIT show that the cross-polarization coupling (CPC) strength is typically $10^{- 8} - 10^{- 7}$ per round trip. It is shown in this Letter that polarization rotation resulting from optical spin–orbit interaction through the experimentally realistic asymmetry of a microresonator about its equator can produce CPC with strengths in the same range as observed in experiments.

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TE ( $m$ , $p$ , $q$ )	TM ( $m$ , $p$ , $q$ )	$T_{s}$	$T_{p}$
981, 3, 3	959, 5, 5	$2.82 \times 10^{- 7}$	$4.50 \times 10^{- 7}$
1006, 1, 1	959, 5, 5	$9.71 \times 10^{- 11}$	$3.57 \times 10^{- 10}$
1006, 1, 1	981, 3, 3	$3.83 \times 10^{- 8}$	$8.84 \times 10^{- 8}$
992, 2, 2	970, 4, 4	$1.12 \times 10^{- 7}$	$2.10 \times 10^{- 7}$
1006, 1, 0	992, 2, 2	$2.11 \times 10^{- 9}$	$1.28 \times 10^{- 8}$

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Optics Letters