volume | PIER Journals

Abstract

Theory, numerical simulation, and experiment on the interaction of electromagnetic wave with suddenly created periodic plasma layers are presented. In the experiment, frequency-downshifted signals of considerably large spectral width and enhanced spectral intensity were detected. Numerical simulation of the experiment, that the plasma has a finite periodic structure and is created much faster than its decay, shows that the frequency downshifted waves have a broad power spectrum and are trapped in this plasma crystal until the plasma frequency drops to become less than the wave frequency. The spectral power increases exponentially with the frequency of the frequency downshifted wave, consistent with the experiment. The simulation reveals that wave trapping results in accumulating the frequency-downshifted waves generated in the finite transition period of plasma creation and decay. Though frequency-upshifted signals were missing in the experimental measurement, it might be attributed to the collision damping of the plasma.

1. Morgenthaler, F., "Velocity modulation of electromagnetic waves," IRE Trans. Microwave Theory Tech., Vol. 6, 167-172, 1958.
doi:10.1109/TMTT.1958.1124533 Google Scholar

2. Felsen, L. B. and G. M. Whitman, "Wave propagation in time-varying media," IEEE Trans. Antennas Propag., Vol. 18, 242-253, 1970.
doi:10.1109/TAP.1970.1139657 Google Scholar

3. Jiang, C. L., "Wave propagation and dipole radiation in a suddenly created plasma," IEEE Trans. Antennas Propag., Vol. 231, 83-90, 1975.
doi:10.1109/TAP.1975.1141007 Google Scholar

4. Wilks, S. C., J. M. Dawson, and W. B. Mori, "Frequency up-conversion of electromagnetic radiation with use of an overdense plasma," Phys. Rev. Lett., Vol. 61, 337-340, 1988.
doi:10.1103/PhysRevLett.61.337 Google Scholar

5. Kuo, S. P., A. Ren, and J. Huang, "Generation of a frequency chirped pulse using phase velocity transitions in a rapidly created plasma," Ultra Wideband EM Waves, 129-136, H. L. Bertoni, Ed., Plenum Press, NY, 1993. Google Scholar

6. Rappaport, H. L. and C. D. Striffler, "Frequency up-conversion and time-dependent tunneling of electromagnetic radiation in step-ionized plasmas," Phys. Plasmas, Vol. 1, 780-784, 1994.
doi:10.1063/1.870770 Google Scholar

7. Yablonovitch, E., "Spectral broadening in the light transmitted through a rapidly growing plasma," Phys. Rev. Lett., Vol. 31, 877-879, 1973.
doi:10.1103/PhysRevLett.31.877 Google Scholar

8. Yablonovitch, E., "Self-phase modulation of light in a laser-breakdown plasma," Phys. Rev. Lett., Vol. 32, 1101-1104, 1974.
doi:10.1103/PhysRevLett.32.1101 Google Scholar

9. Kuo, S. P., "Frequency up-conversion of microwave pulse in a rapidly growing plasma," Phys. Rev. Lett., Vol. 65, No. 8, 1000-1003, 1990.
doi:10.1103/PhysRevLett.65.1000 Google Scholar

10. Joshi, C. J., C. E. Clayton, K. Marsh, D. B. Hopkins, A. Sessler, D. Whittum, and , "Demonstration of the frequency upshifting of microwave radiation by rapid plasma creation," IEEE Trans. Plasma Sci., Vol. 18, 814-818, 1990.
doi:10.1109/27.62347 Google Scholar

11. Kuo, S. P., Y. S. Zhang, and A. Ren, "Observation of frequency up-conversion in the propagation of a high power microwave pulse in a self-generated plasma," Phys. Lett. A, Vol. 150A, No. 2, 92-96, 1990.
doi:10.1016/0375-9601(90)90256-N Google Scholar

12. Kuo, S. P. and A. Ren, "Frequency up-conversion of a high power microwave pulse propagating in a self-generated plasma," J. Appl. Phys., Vol. 71, No. 11, 5376-5380, 1992.
doi:10.1063/1.350557 Google Scholar

13. Kuo, S. P. and A. Ren, "Experimental study of wave propagation through a rapidly created plasma," IEEE Trans. Plasma Sci., Vol. 21, No. 1, 53-56, 1993.
doi:10.1109/27.221101 Google Scholar

14. Kuo, S. P., A. Ren, and G. Schmidt, "Frequency downshift in rapidly ionizing media," Phys. Rev. E, Vol. 49, No. 4, 3310-3315, 1994.
doi:10.1103/PhysRevE.49.3310 Google Scholar

15. Ishimaru, A., Electromagnetic Wave Propagation, Radiation, and Scattering, Prentice Hall, Englewood Cliffs, NJ, 1991.

16. Faith, J., S. P. Kuo, and J. Huang, "Frequency downshifting and trapping of an electromagnetic wave by a rapidly created spatial periodic plasma," Phys. Rev. E., No. 2, 1843-1851, 1997.
doi:10.1103/PhysRevE.55.1843 Google Scholar

17. Qi, L. and Z. Yang, "Modified plane wave method analysis of dielectric plasma photonic crystal," Progress In Electromagnetics Research, Vol. 91, 319-332, 2009.
doi:10.2528/PIER09022605 Google Scholar

18. Minin, I. V., O. V. Minin, Y. R. Triandaphilov, and V. V. Kotlyar, "Subwavelength diffractive photonic crystal lens," Progress In Electromagnetics Research B, Vol. 7, 257-264, 2008.
doi:10.2528/PIERB08041501 Google Scholar

19. Blatt, F. J., Physics of Electronic Conduction in Solids, McGraw Hill, NY, 1970.

20. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes: The Art of Scientific Computing, 2nd Edition, Cambridge University Press, New York, NY, 1992, ISBN: 0- 521-43108-5.

21. Kuo, S. P. and J. Faith, "Interaction of an electromagnetic wave with a rapidly created spatially periodic plasma," Phys. Rev. E, Vol. 56, No. 2, 2143-2150, 1997.
doi:10.1103/PhysRevE.56.2143 Google Scholar

22. Leung, K. M. and Y. F. Liu, "Full vector wave calculation of photonic band structures in facecentered- cubic dielectric media," Phys. Rev. Lett., Vol. 65, No. 21, 2646-2649, 1990.
doi:10.1103/PhysRevLett.65.2646 Google Scholar

23. Yablonovitch, E., T. J. Gmitter, and K. M. Leung, "Photonic band structure: The face-centeredcubic case employing nonspherical atoms," Phys. Rev. Lett., Vol. 67, 2295-2298, 1991.
doi:10.1103/PhysRevLett.67.2295 Google Scholar

24. Chen, J.-Y., J.-Y. Yeh, L.-W. Chen, Y.-G. Li, and C.-C. Wang, "Design and modeling for enhancement of light extraction in light-emitting diodes with archimedean lattice photonic crystals," Progress In Electromagnetics Research B, Vol. 11, 265-279, 2009.
doi:10.2528/PIERB08112704 Google Scholar

Dr. Spencer P. Kuo