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Parametric wave interaction in one-dimensional nonlinear photonic crystal with randomized distribution of second-order nonlinearity

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Abstract

We theoretically study the parametric wave interaction in nonlinear optical media with randomized distribution of the quadratic nonlinearity \(\chi ^{(2)}\). In particular, we discuss the properties of second and cascaded third harmonic generation. We derive analytical formulas describing emission properties of such harmonics in the presence of \(\chi ^{(2)}\) disorder and show that the latter process is governed by the characteristics of the constituent processes, i.e. second harmonic generation and sum frequency mixing. We demonstrate the role of randomness on various second and third harmonic generation regimes such as Raman–Nath and Čerenkov nonlinear diffraction. We show that the randomness-induced incoherence in the wave interaction leads to deterioration of conversion efficiency and angular spreading of harmonic generated in the processes relying on transverse phase matching such as Raman–Nath interaction. On the other hand, the Čerenkov frequency generation is basically insensitive to the domain randomness.

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Acknowledgments

This work was supported by the Australian Research Council.

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Authors and Affiliations

  1. Laser Physics Center, Research School of Physics and Engineering, Australian National University, Canberra, ACT, 0200, Australia

    K. Kalinowski, V. Roppo, Y. Sheng & W. Krolikowski

  2. Nonlinear Physics Center, Research School of Physics and Engineering, Australian National University, Canberra, ACT, 0200, Australia

    K. Kalinowski

  3. Departament de Fisica i Enginyeria Nuclear, Escola Tecnica Superior d’Enginyeries Industrial y Aeronautica de Terrassa, Universitat Politecnica de Catalunya, Rambla Sant Nebridi, 08222, Terrassa, Barcelona, Spain

    V. Roppo

  4. Institute of Electronic Materials Technology, Wólczyńska 133, 01-919, Warsaw, Poland

    T. Łukasiewicz & M. Świrkowicz

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  1. K. Kalinowski
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  2. V. Roppo
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  3. T. Łukasiewicz
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  4. M. Świrkowicz
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  5. Y. Sheng
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  6. W. Krolikowski
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Correspondence to K. Kalinowski.

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Kalinowski, K., Roppo, V., Łukasiewicz, T. et al. Parametric wave interaction in one-dimensional nonlinear photonic crystal with randomized distribution of second-order nonlinearity. Appl. Phys. B 109, 557–566 (2012). https://doi.org/10.1007/s00340-012-5124-4

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  • DOI: https://doi.org/10.1007/s00340-012-5124-4

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