Abstract
Nonlinear Bragg scattering, also known as wavelength exchange, is a non-degenerate four-wave-mixing process which has attracted considerable interest as means of noise-free quantum frequency translation [1, 2]. In elementary Bragg scattering two strong pumps at frequencies ωp1 and ωp2 = ωp1 + Δ mediate the sinusoidal exchange of energy between a weak signal at ω0 and an idler at ω1 = ω0 + Δ. The process is efficient only when phase-matched, which imposes a strict restriction to the choice of interacting frequencies: only a single signal frequency exists that can be phase-matched for fixed pump frequencies. Here we consider a cascade of Bragg scattering processes, and show that efficient exchange of energy between a signal and an nth order idler at ωn = ω0 + nΔ is possible even if none of the elementary steps are phase-matched. Such exchange occurs when the sum of the individual phase-mismatches accumulated along the cascade vanishes, which is equivalent to the direct phase-matching of a higher-order χ(2n + 1) nonlinear process mimicked by the cascade [3]. The possibility to phase-match different orders of the cascade for fixed pump frequencies relaxes the phase-matching requirements for Bragg scattering [4]. We also discuss the intimate link between phase-matched Bragg scattering cascades and interactions of solitons with weak linear waves.
© 2013 IEEE
PDF ArticleMore Like This
L. Mejling, S. M. M. Friis, D. V. Reddy, K. Rottwitt, M. G. Raymer, and C. J. McKinstrie
JTu3A.36 Bragg Gratings, Photosensitivity, and Poling in Glass Waveguides (BGPP) 2014
A.M. Kamchatnov, M. Nevière, A.D. Boardman, and V.M. Agranovich
ThD26 Nonlinear Guided Waves and Their Applications (NP) 1999
Richard Provo, Stuart G. Murdoch, John D. Harvey, and David Méchin
CTuI7 Conference on Lasers and Electro-Optics (CLEO:S&I) 2010