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Nonlinear Polarization Rotation

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Definition: the phenomenon that the change of the polarization direction of light in a fiber can depend on the optical intensity

When an intense optical pulse propagates in an optical fiber which is not polarization-maintaining, there can be a nonlinear (i.e., intensity-dependent) change of the polarization state. This is usually not exactly a rotation of a linear polarization direction, but rather the change to some elliptical polarization state. The physical cause of these effects is related to self-phase modulation and cross-phase modulation as well as to some (uncontrolled) birefringence of the fiber. If the pulses afterwards pass a polarizer, the power throughput effectively also depends on the optical peak power.

While nonlinear polarization rotation can be rather disturbing e.g. in systems with fiber amplifiers, it is also often utilized for passive mode locking of fiber lasers (→ mode-locked fiber lasers). Here, a typical configuration contains some fiber polarization controller or waveplates, which can be adjusted so that the maximum transmission (minimum loss) at the polarizer occurs for the highest possible optical intensity. The configuration then serves as an effective saturable absorber. As the Kerr effect is very fast, this absorber is very fast, and its strength is adjustable with the polarization controllers. This makes mode locking with nonlinear polarization rotation a rather powerful technique. However, severe disadvantages are that the optimum polarization settings can drift with temperature, so that readjustment may often become necessary, and that it is difficult to experimentally quantify and reproduce the achieved modulation depth and saturation power.

A more environmentally stable mode-locking technique with nonlinear polarization rotation can be implemented by using a highly birefringent (polarization-maintaining) fiber and Faraday rotators [2]. That technique, however, is less easily implemented in the form of an all-fiber setup.

The technique of mode locking with nonlinear polarization rotation is sometimes also called polarization additive-pulse mode locking. The latter technique has originally been invented for bulk lasers. Here, interference occurs between beams which have propagated different ways in a laser setup, where they experienced different amounts of Kerr nonlinearity. On the other hand, nonlinear polarization rotation can be interpreted as interference of different polarization components which have travelled the same path. A difference is that cross-phase modulation can also occur in the case of nonlinear polarization rotation.

Bibliography

[1]M. Hofer et al., "Characterization of ultrashort pulse formation in passively mode-locked fiber lasers", IEEE J. Quantum Electron. 28, 720 (1992)
[2]M. E. Fermann, "Passive mode locking by using nonlinear polarization evolution in a polarization-maintaining erbium-doped fiber", Opt. Lett. 18 (11), 894 (1993)
[3]V. J. Matsas et al., "Self-starting passively mode-locked fibre ring soliton lser exploiting nonlinear polarisation rotation", Electron. Lett. 28, 1391 (1992)
[4]K. Tamura et al., "Self-starting additive pulse mode-locked erbium fibre ring laser", Electron. Lett. 28, 2226 (1992)

See also: Kerr effect, cross-phase modulation, mode locking, passive mode locking, additive-pulse mode locking, fiber lasers

Categories: fibers and other waveguides, nonlinear optics, pulses

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