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Dark spatial solitons formed by complex gratings

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Abstract

We have previously observed bands, and even a grid, of dark solitons in the cross-section of a laser beam propagating through a self-defocusing material when a diffracting screen was placed at the entrance face of the nonlinear medium. The creation of spatial solitons is attributed to the coupling of diffracted radiation into a self-guiding nonlinear channel. Information encoded as spatial solitons may therefore be transferred in parallel over long distances without the need for large (or any) collection optics. A diffracting screen is a building block of spatial soliton devices. We have found the soliton eigenvalues (each corresponding to the normalized angle and depth of a soliton) for a generalized screen composed of units with two closely spaced opaque regions of width xA separated by a region of width xB and arbitrary phase ΦB. If the value of xB is large, fundamental dark solitons can form when ΦB = π. On the other hand, when xB is small, diffractive coupling of radiation from the opaque regions splits the degeneracy of the eigenvalues, much like level-splitting in coupled quantum wells. When a pure phase grating exists (xA = 0), a single pair of solitons is formed. Numerous applications of spatial dark solitons can be envisioned, including optical interconnecting, limiting, and computing operations.

© 1990 Optical Society of America

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