Erlangen 2018 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 64: Quantum Optics and Photonics IV
Q 64.3: Talk
Friday, March 9, 2018, 11:00–11:15, K 0.016
A new definition for the Kerr nonlinearity parameter — •Izzatjon Allayarov1, Swaathi Upendar1, Markus A. Schmidt2,3, and Thomas Weiss1 — 14th Physics Institute and Research Center SCoPE, University of Stuttgart, Germany — 2Leibniz Institute of Photonic Technology, Germany — 3Otto Schott Institute of Material Research, Friedrich Schiller University of Jena, Germany
Gas filled hollow-core photonic crystal fibers outperform conventional fibers in terms of their tuning capabilities. For instance, the linear dispersion and the nonlinear optical properties can be controlled through changing the temperature and the pressure [1]. Due to the finite cladding, the modes in such fibers are leaky, i.e., they radiate perpendicular to the fiber axis. Therefore, the electromagnetic fields of the modes grow exponentially with distance to the fiber center. Hence, the derivation of the Kerr nonlinearity parameter becomes questionable, since existing approaches rely on an arbitrary spatial truncation of the electromagnetic fields [2]. We present a new and more general derivation of the Kerr nonlinearity parameter that is based on the resonant state expansion [3]. Our approach provides the correct Kerr nonlinearity parameter independent of the spatial truncation. For leaky modes, we obtain a nonzero imaginary part of the Kerr nonlinearity parameter, providing nonlinear gain or loss. We will discuss about the impact of this novel result on the nonlinear pulse propagation.
[1] P. St. J. Russell et al., Nat. Photon. 8, 278 (2014).
[2] S. Afshar V. and T. M. Monro, Opt. Express 17, 2298 (2009).
[3] T. Weiss et al., Phys. Rev. B 96, 045129 (2017).