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Nonlinear effects in the Josephson-vortex terahertz photonic crystal: Frequency mixing

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Abstract

How to control the mixing of two separate frequencies ω 1 and ω 2 is studied in a nonlinear Josephson-vortex THz photonic crystal in layered superconductors. Due to nonlinearity sum and difference frequencies can be generated, allowing controlled frequency shifting of electromagnetic waves within the THz range of the spectrum which is difficult to reach with current devices. Assuming no feedback from higher harmonics allows the sum and difference amplitudes to be calculated numerically using a perturbative method. We observed a strong resonance amplification of sum and difference mixing harmonics of two basic THz signals for certain ratios of ω 1 and ω 2. An analytical approach was proposed to understand the physical origin of such amplification.

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References

  1. L. Ozyuzer, A.E. Koshelev, C. Kurter, N. Gopalsami, Q. Li, M. Tachiki, K. Kadowaki, T. Yamamoto, H. Minami, H. Yamaguchi, T. Tachiki, K.E. Gray, W.K. Kwok, U. Welp, Science 318, 1291 (2007)

    Article  ADS  Google Scholar 

  2. K. Kadowaki, H. Yamaguchi, K. Kawamata, T. Yamamoto, H. Minami, I. Kakeya, U. Welp, L. Ozyuzer, A. Koshelev, C. Kurter, K.E. Gray, W.K. Kwok, Physica C 468, 634 (2008)

    Article  ADS  Google Scholar 

  3. H. Minami, I. Kakeya, H. Yamaguchi, T. Yamamoto, K. Kadowaki, Appl. Phys. Lett. 95, 232511 (2009)

    Article  ADS  Google Scholar 

  4. M. Tsujimoto, K. Yamaki, K. Deguchi, T. Yamamoto, T. Kashiwagi, H. Minami, M. Tachiki, K. Kadowaki, R.A. Klemm, Phys. Rev. Lett. 105, 037005 (2010)

    Article  ADS  Google Scholar 

  5. S. Savel’ev, V. Yampol’skii, A. Rakhmanov, F. Nori, Phys. Rev. B 72, 144515 (2005)

    Article  ADS  Google Scholar 

  6. F. Marchesoni, S. Savel’ev, M. Tachiki, F. Nori, Phys. Rev. B 81, 174531 (2010)

    Article  ADS  Google Scholar 

  7. S. Savel’ev, V.A. Yampol’skii, A.L. Rakhmanov, F. Nori, Rep. Prog. Phys. 73, 026501 (2010)

    Article  ADS  Google Scholar 

  8. X. Hu, S.Z. Lin, Supercond. Sci. Tech. 23, 053001 (2010)

    Article  ADS  Google Scholar 

  9. S. Savel’ev, A.L. Rakhmanov, F. Nori, Phys. Rev. Lett. 94, 157004 (2005)

    Article  ADS  Google Scholar 

  10. S. Savel’ev, A.L. Rakhmanov, F. Nori, Physica C 445, 180 (2006)

    Article  ADS  Google Scholar 

  11. H. Susanto, E. Goldobin, D. Koelle, R. Kleiner, S.A. van Gils, Phys. Rev. B 71, 174510 (2005)

    Article  ADS  Google Scholar 

  12. S. Savel’ev, A.L. Rakhmanov, F. Nori, Phys. Rev. B 74, 184512 (2006)

    Article  ADS  Google Scholar 

  13. S. Savel’ev, V. Yampol’skii, F. Nori, Phys. Rev. Lett. 95, 187002 (2005)

    Article  ADS  Google Scholar 

  14. S. Savel’ev, V. Yampol’skii, F. Nori, Physica C 445, 183 (2006)

    Article  ADS  Google Scholar 

  15. S. Savel’ev, A. Rakhmanov, V. Yampol’skii, F. Nori, Nat. Phys. 2, 521 (2006)

    Article  Google Scholar 

  16. A. Wall-Clarke, S. Savel’ev, Phys. Rev. B 85, 214521 (2012)

    Article  ADS  Google Scholar 

  17. J. Mirković, S.E. Savel’ev, E. Sugahara, K. Kadowaki, Phys. Rev. Lett. 86, 886 (2001)

    Article  ADS  Google Scholar 

  18. A. Gurevich, Phys. Rev. B 46, R3187 (1992)

    Article  ADS  Google Scholar 

  19. S. Savel’ev, V. Yampol’skii, A. Rakhmanov, F. Nori, Phys. Rev. B 72, 144515 (2005)

    Article  ADS  Google Scholar 

  20. K.F. Riley, M.P. Hobson, S.J. Bence, Mathematical Methods for Physics and Engineering, 3rd edn. (Cambridge University Press, Cambridge, 2006)

  21. Y.M. Shukrinov, F. Mahfouzi, Phys. Rev. Lett. 98, 157001 (2007)

    Article  ADS  Google Scholar 

  22. Y.M. Shukrinov, F. Mahfouzi, N.F. Pedersen, Phys. Rev. B 75, 104508 (2007)

    Article  ADS  Google Scholar 

  23. Y.M. Shukrinov, F. Mahfouzi, M. Suzuki, Phys. Rev. B 78, 134521 (2008)

    Article  ADS  Google Scholar 

  24. Y.M. Shukrinov, I.R. Rahmonov, M.A. Gaafar, Phys. Rev. B 86, 184502 (2012)

    Article  ADS  Google Scholar 

  25. V.A. Yampol’skii, A.V. Kats, M.L. Nesterov, A.Y. Nikitin, T.M. Slipchenko, S. Savel’ev, F. Nori, Phys. Rev. B 76, 224504 (2007)

    Article  ADS  Google Scholar 

  26. S. Savel’ev, V. Yampol’skii, F. Nori, Phys. Rev. Lett. 95, 187002 (2005)

    Article  ADS  Google Scholar 

  27. V.A. Yampol’skii, A.V. Kats, M.L. Nesterov, A.Y. Nikitin, T.M. Slipchenko, S. Savel’ev, F. Nori, Phys. Rev. B 79, 214501 (2009)

    Article  ADS  Google Scholar 

  28. S. Savel’ev, F. Marchesoni, P. Hänggi, F. Nori, Phys. Rev. E 70, 066109 (2004)

    Article  ADS  Google Scholar 

  29. S. Savel’ev, F. Marchesoni, P. Hänggi, F. Nori, Europhys. Lett. 67, 179 (2004)

    Article  ADS  Google Scholar 

  30. S. Savel’ev, F. Marchesoni, P. Hänggi, F. Nori, Eur. Phys. J. B 40, 403 (2004)

    Article  ADS  Google Scholar 

  31. S. Ooi, S. Savel’ev, M.B. Gaifullin, T. Mochiku, K. Hirata, F. Nori, Phys. Rev. Lett. 99, 207003 (2007)

    Article  ADS  Google Scholar 

  32. F. Marchesoni, Phys. Lett. A 119, 221 (1986)

    Article  MathSciNet  ADS  Google Scholar 

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Correspondence to Alex Wall-Clarke.

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Wall-Clarke, A., Savel’ev, S. Nonlinear effects in the Josephson-vortex terahertz photonic crystal: Frequency mixing. Eur. Phys. J. B 86, 205 (2013). https://doi.org/10.1140/epjb/e2013-31066-8

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  • DOI: https://doi.org/10.1140/epjb/e2013-31066-8

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