Hannover 2013 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 16: Photonics II

Q 16.6: Vortrag

Montag, 18. März 2013, 17:45–18:00, A 310

On the possible creation of short intense pulses from a family of solutions of the NLSE — •Christoph Mahnke and Fedor Mitschke — Institut für Physik, Universität Rostock

The Nonlinear Schrödinger equation (NLSE) governs the propagation of light fields in optical fibers. We consider a family of solutions including the Akhmediev Breather (AB), the Peregrine soliton (PS), and the Kuznetzov-Ma soliton (KM). Despite being known for a long time, the existence of PS and KM were confirmed in experiments just recently [2,3]. All three solutions share the property that their field consists of a cw part with a modulation on top of it. This combination leads to a growth of the modulation up to a culmination value during propagation, and subsequent decay. The AB and the KM have in common that the modulation exhibits an infinitely broad extent in one coordinate (time or space) but is localized in the other. The PS case is a transition between these two and is localized in both time and space.

We investigate whether it is possible to utilize the growth of the modulation to create short, powerful pulses from the culmination state. We present a technique to isolate the amplified modulation by splitting and recombining the field with suitable time and phase shifts. We discuss the properties of the extracted pulses and the limitations of our method.

[1] N.N. Akhmediev, V.I. Korneev, Th. Math. Phys. 69, 1089 (1986)

[2] B. Kibler et al., Nature Physics 6, 790 (2010)

[3] B. Kibler et al., Scientific Reports 2, article number 463 (2012)