Berlin 2018 – wissenschaftliches Programm

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HL: Fachverband Halbleiterphysik

HL 52: Optical properties & Photonic crystals

HL 52.12: Vortrag

Freitag, 16. März 2018, 12:30–12:45, EW 201

Resonant state expansion for disordered claddings in photonic crystal fibers — •Swaathi Upendar¹, Izzatjon Allayarov¹, Guangrui Li², Markus Schmidt^2,3, and Thomas Weiss¹ — ¹4th Physics Institute and Research center SCoPE, University of Stuttgart, Germany — ²Leibniz Institute of Photonic Technology, Jena, Germany — ³Otto Schott Institute of Material Research, Friedrich Schiller University, Jena, Germany

Photonic crystal fibers guide light in a central defect core surrounded by a periodic cladding using a bandgap effect. We would like to study how disorder in the cladding affects the properties of an all solid photonic crystal fiber. As effects originating from disorder need to be averaged over many realizations, fast simulation techniques are required.

In this contribution we show how to adapt the so-called resonant state expansion [1] to such fiber geometries. Resonant states are solutions of Maxwell’s equations with outgoing boundary conditions in the absence of source terms. For resonant state expansion, the resonant states need to be normalized correctly. The difficulty is that modes in hollow-core photonic crystal fibers radiate in the direction normal to the fiber axis, so that the electromagnetic fields of the modes grow exponentially with distance to the core and cladding. We demonstrate the correct normalization of the modes in such fibers and use the normalized modes to derive the propagation constants of modes in perturbed and thus, disordered systems.

[1] M. B. Doost, W. Langbein, and E. A. Muljarov, Phys. Rev. A 87, 043827 (2013).