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Schmidt decompositions of parametric processes II: vector four-wave mixing.
C J McKinstrie1, J R Ott, M Karlsson
1Bell Laboratories, Alcatel–Lucent, Holmdel, New Jersey 07733, USA. mckinstrie@alcatel-lucent.com
Optics Express
|May 15, 2013
Summary
This study analyzes vector four-wave mixing in birefringent fibers, detailing modulation interaction, phase conjugation, and Bragg scattering. The findings apply to all pump polarizations, simplifying signal-idler wave analysis.
Area of Science:
- Nonlinear Optics
- Quantum Optics
- Fiber Optics
Background:
- Vector four-wave mixing involves strong pump waves and weak signal/idler waves, each with two polarization components.
- Randomly-birefringent fibers introduce complexities in analyzing these interactions.
- Previous analyses may not cover arbitrary pump polarizations.
Purpose of the Study:
- To conduct a detailed study of vector four-wave mixing processes in randomly-birefringent fibers.
- To investigate modulation interaction, phase conjugation, and Bragg scattering within this context.
- To provide a general solution valid for arbitrary pump polarizations.
Main Methods:
- Utilizing Schmidt decompositions of coupling matrices to solve signal-idler equations.
- Applying Schmidt decomposition to the associated transfer matrix.
- Analyzing three specific vector four-wave mixing processes: modulation interaction, phase conjugation, and Bragg scattering.
Main Results:
- The Schmidt decomposition method effectively simplifies the analysis of signal-idler equations.
- Analytical solutions are obtained for the studied vector four-wave mixing processes.
- The derived results are demonstrated to be valid for any combination of pump polarizations.
Conclusions:
- Vector four-wave mixing in randomly-birefringent fibers can be systematically analyzed using Schmidt decomposition.
- The method provides a unified approach to understanding modulation interaction, phase conjugation, and Bragg scattering.
- This work offers a comprehensive theoretical framework applicable to diverse experimental setups with arbitrary pump polarizations.
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