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6 May 2020 Phase-amplitude representation and Darboux figure
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Abstract

The normalized phase-amplitude representation and the Darboux figure are first defined. Then as an example, we establish the quantum optics description for the field in photonic crystal fibers in the defined representation. The field is evolved from one Darboux state to another state in the Darboux figure. By the continuous inputting (pump) of light, the waves induced by nonlinear effects become stronger (the wave frequency number remains constant at the same distance, and their intensities accumulate). The blueshifted waves induced by the third-order resonant susceptibility are not strong enough to cover other nonlinear effect and turn weak along the length (pump turns weak).

© 2020 Society of Photo-Optical Instrumentation Engineers (SPIE) 1934-2608/2020/$28.00 © 2020 SPIE
Jing Huang and Mingxiang Gui "Phase-amplitude representation and Darboux figure," Journal of Nanophotonics 14(2), 026010 (6 May 2020). https://doi.org/10.1117/1.JNP.14.026010
Received: 20 December 2019; Accepted: 1 April 2020; Published: 6 May 2020
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