Abstract
We demonstrate numerically that partially incoherent light can be trapped in the spectral band gaps of a photonic lattice, creating partially incoherent multi-component spatial optical solitons in a self-defocusing nonlinear periodic medium. We find numerically such incoherent multi-gap optical solitons and discuss how to generate them in experiment by interfering incoherent light beams at the input of a nonlinear periodic medium.
Highlights
Gap solitons are nonlinear localized waves which are associated with band-gaps in the transmission spectra of nonlinear photonic structures with a periodically modulated refractive index [1, 2, 3], such as fiber Bragg gratings [4], waveguide arrays [5, 6], and optically-induced lattices [7, 8, 9]
It was recently predicted theoretically [10, 11, 12] and demonstrated experimentally [13] that gap solitons can be composed of many modes which are localized in multiple band-gaps of a single periodic lattice
We demonstrate numerically that partially incoherent multi-gap solitons can exist in self-defocusing nonlinear media, and we suggest a simple approach for creating an input light field with special coherence properties, which allow for excitation of the modes in particular gaps, and highly efficient generation of incoherent multi-gap solitons
Summary
Gap solitons are nonlinear localized waves which are associated with band-gaps in the transmission spectra of nonlinear photonic structures with a periodically modulated refractive index [1, 2, 3], such as fiber Bragg gratings [4], waveguide arrays [5, 6], and optically-induced lattices [7, 8, 9] Such gap solitons are composed of counter-propagating waves which experience Bragg reflection from the periodic structure and remain trapped at the nonlinearly-induced lattice defect. Stationary multi-gap solitons with fixed profile along the propagation direction may form if the modes are made mutually incoherent, and noninstantaneous nonlinear response is defined by the time-averaged light intensity It was suggested theoretically [15] that multi-gap solitons can be generated by a partially coherent light source which simultaneously excites multiple modes in different gaps of the lattice spectrum. We demonstrate numerically that partially incoherent multi-gap solitons can exist in self-defocusing nonlinear media, and we suggest a simple approach for creating an input light field with special coherence properties, which allow for excitation of the modes in particular gaps, and highly efficient generation of incoherent multi-gap solitons
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