Abstract
In recent years there have been many studies of one-dimensional photonic band-gap materials in the presence of a Kerr nonlinearity [1–5]. A great deal of the experimental work in this field has concentrated on fiber Bragg gratings, which typically have refractive index variations on the order of 10−4 [6,7]. With such small index variations, it is reasonable to apply the heuristic nonlinear coupled mode equations, or the appropriate nonlinear Schrödinger equation, to analyze experimental results. However, it is well known that the process of UV-writing a grating in a nominally isotropic optical fiber introduces a birefringence of the order of 10−6 [8]. For grating lengths of around 10 cm, this has observable consequences.
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Pereira, S., Sipe, J.E. (2003). Polarization Effects in Birefringent, Nonlinear, Periodic Media. In: Slusher, R.E., Eggleton, B.J. (eds) Nonlinear Photonic Crystals. Springer Series in Photonics, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05144-3_3
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