Second harmonic generation in dissipative metamaterials

Authors

  • Ye.S. Mukhametkarimov Al-Farabi Kazakh National University, Kazakstan, Almaty
  • Zh. Kudyshev Faculty of Mathematics, University of Arizona, Tucson, USA
  • A.E. Davletov Al-Farabi Kazakh National University, Kazakstan, Almaty
  • I. Gabitov Faculty of Mathematics, University of Arizona, Tucson, USA
  • A. Maimistov Department of solid state physics and nanosystems MEPI, National Research Nuclear University MEPhI, Moscow, Russia
        59 30

Keywords:

metamaterial, second harmonic generation, phase mismatch

Abstract

In the regime of continious waves the second harmonic generation process in dissipative negative refraction-index metamaterials is considered. At small values of the phase mismatch the intensity distributions of both the fundamental and second harmonic waves are monotonic functions of coordinates. But if the phase mismatch reaches some critical value, the intensity distributions of the two waves undergo a transition from monotonic to oscillatory pattern. The influence of the losses in the medium on that critical value of the phase mismatch is numerically studied.

References

1 Veselago V.G. The electrodynamics of substances with simultaneously negative values of ε and μ // Sov. Phys. Usp. – 1968. – N 10. – P.509-514.

2 Pendry J.B. Negative Refraction Makes a Perfect Lens // Physical Review Letters. - 2000 – Vol. 85, Iss. 18. - P. 3966 -3969.

3 Smith, D. R., Schurig, D. & Pendry, J. B. Some of the waves emitted or reflected // Appl. Phys. Lett. – 2002. – Vol. 81. – P. 2713–2715.

4 Веселаго В.Г. Электродинамика веществ с одновременно отрицательными значениями и // УФН. – 1967. – Т. 172. – С. 1215.

5 Robbins D.J., Pendry J. B., Holden A.J. and Stewart W.J. Magnetism from conductors and enhanced nonlinear phenomena // IEEE Trans. Microwave Theory Tech. – 1999 – Vol. 47(11). – P.2075.

6 Popov A.K. and Shalaev V. M. Negative-index metamaterials: Second-harmonic generation, Manley-Rowe relations and parametric amplification // Appl. Phys. B – 2006 - Vol. 84 – P.131-137.

7 Kudyshev Zh., Gabitov I.R., Maimistov A. The effect of phase mismatch on second harmonic generation in negative index materials // arXiv:1102.0538v1, 2011.

Downloads

How to Cite

Mukhametkarimov, Y., Kudyshev, Z., Davletov, A., Gabitov, I., & Maimistov, A. (2012). Second harmonic generation in dissipative metamaterials. Recent Contributions to Physics (Rec.Contr.Phys.), 42(3), 5–62. Retrieved from https://bph.kaznu.kz/index.php/zhuzhu/article/view/709

Issue

Section

Condensed Matter Physics and Materials Science Problems. NanoScience

Most read articles by the same author(s)