Effective index numerical modelling of microstructured chalcogenide-glass fiber for frequency conversion to the mid-infrared band

Pierre Bourdon; Anne Durécu; Claire Alhenc-Gelas; Laura Di Bianca; Guillaume Canat; Frédéric Druon

doi:10.1117/12.2004428

26 February 2013 Effective index numerical modelling of microstructured chalcogenide-glass fiber for frequency conversion to the mid-infrared band

Pierre Bourdon, Anne Durécu, Claire Alhenc-Gelas, Laura Di Bianca, Guillaume Canat, Frédéric Druon

Author Affiliations +

Proceedings Volume 8601, Fiber Lasers X: Technology, Systems, and Applications; 86011L (2013) https://doi.org/10.1117/12.2004428
Event: SPIE LASE, 2013, San Francisco, California, United States

Abstract

Chalcogenide glass fibers offer broad transparency range up to the mid-infrared and high nonlinear coefficients making them excellent candidates for four wave mixing frequency conversion. However, the use of microstructured airchalcogenide fibers is mandatory to achieve phase-matching in such a fiber. Numerical modelling of the phase matching condition can be done using the simplified effective index model, initially developed and extensively used to design airsilica fibers. In this paper, we investigate the use of the effective index model in the case of microstructured As₂S₃ and As₂Se₃ fibers. One essential step in the method is to evaluate the core radius of a step-index fiber equivalent to the microstructured fiber. Using accurate reference results provided by finite-element computation, we compare the different formulae of the effective core radius proposed in the literature and validated for air-silica fibers. As expected, some discrepancies are observed, especially for the highest wavelengths. We propose new coefficients for these formulae so that the effective index method can be used for numerical modelling of propagation in air-chalcogenide fibers up to 5 μm wavelength. We derive a new formula providing both high accuracy of the effective core radius estimate whatever the microstucture geometry and wavelength, as well as uniqueness of its set of coefficients. This analysis reveals that the value of the effective core radius in the effective index model is only dependent on the microstructure geometry, not on the fiber material. Thus, it can be used for air-silica or air-chalcogenide fibers indifferently.

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Pierre Bourdon, Anne Durécu, Claire Alhenc-Gelas, Laura Di Bianca, Guillaume Canat, and Frédéric Druon "Effective index numerical modelling of microstructured chalcogenide-glass fiber for frequency conversion to the mid-infrared band", Proc. SPIE 8601, Fiber Lasers X: Technology, Systems, and Applications, 86011L (26 February 2013); https://doi.org/10.1117/12.2004428

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KEYWORDS

Finite element methods

Lithium

Mid-IR

Frequency conversion

Step index fibers

Numerical modeling

Chalcogenide glass

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