TELECOMMUNICATIONS AND RADIO ENGINEERING - 2011 Vol. 70,
No 6
 

 

 

 

RESONANT EXCITATION OF A 2D PERIODIC SCREEN PERFORATED BY CIRCULAR BELOW-CUTOFF HOLES



À.Î. Perov, À.À. Êirilenko, & S.L. Senkevich
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine 12, Academician Proskura St., Kharkiv 61085, Ukraine
Address all correspondence to A.O. Perov E-mail: perov@ire.kharkov.ua

Abstract
Features of plane wave scattering by two-dimensional periodic perforated screen with a few sub-wavelength holes over the period are analyzed. It is shown that in contrast to single-element screens (with one hole over the period) such screens show dual properties. Specifically, operating in the single-wave regime they can support both the total transmission and/or total reflection resonances. The resonance behavior like this is explained within the spectral theory. It is shown that the spectrum structure of the complex-valued frequencies of the multi-element screen being considered as an open resonator is already built into the spectrum of a simple single-element screen if a model with macroperiod accommodating several identical cells is considered. Lower-order eigen oscillations of multi-element screens which appear due to various kinds of defects in the cell geometry are analyzed. A simple approximation model describing the dependence of the resonance response as a function of the eigenfrequency spectrum of lower-order modes is used to analyze possible types of the scattering characteristics within the single-wave range.

KEY WORDS: partial domain method, two-dimensional periodic structures, resonance scattering, free oscillations, below-cutoff holes

References

  1. Ebbesen, T.W., Lezec, H.J., Ghaemi, H.F. et al., (1998), Extraordinary optical transmission through sub-wavelength hole arrays, Nature. 391:667-669.
  2. Ghaemi, H.F., Thio, T., Grupp, D.E. et al., (1998), Surface plasmons enhance optical transmission through subwavelength holes, Phys. Rev. B. 58:6779-6782.
  3. Oliner, A.A. and Jackson D.R., (2003), Leaky surface-plasmon theory for dramatically enhanced transmission through a subwavelength aperture. Part I. Basic features, Proc. IEEE AP-S Symp. Radio Science Meeting, Columbus, OH. 2:1091-1094.
  4. Rivas, J., Schotsch, C., Bolivar, P.H., Kurz, H., (2003), Enhanced transmission of THz radiation through subwavelength holes, Phys. Rev. B. 68:201-206.
  5. Beruete, M., Sorolla, M., Campillo, I. et al., (2005), Enhanced millimeter wave transmission through quasi-optical subwavelength perforated plates, IEEETrans. Antennas Propag. 53(6):1897-1902.
  6. Lomakin, V. and Michielssen, E., (2005), Enhanced transmission through metallic plates perforated by arrays of subwavelength holes and sandwiched in between dielectric slabs, Physical Review B. 71:235117.
  7. Baida, F.I. and Van Labeke, D., (2002), Light transmission by subwavelength annular aperture arrays in metallic films, Opt. Commun. 209:17-22.
  8. Lomakin, V. and Michielssen, E., (2006), Transmission of Transient Plane Waves Through Perfect Electrically Conducting Plates Perforated by Periodic Arrays of Subwavelength Holes, IEEETrans. Antennas Propag. 54(3):970-984.
  9. Kirilenko, A.A. and Perov, A.O., (2008), On the common nature of the enhanced and resonance transmission through the periodical set of holes, IEEE Trans. on Antennas and Propagat. 56(10):3210–3216.
  10. Medina, F., Mesa, F., and Marques, R., (2008), Extraordinary transmission through arrays of elect-rically small holes from a circuit theory perspective, IEEE Trans. on Microw. Theory Tech. 56(12):3108–3120.
  11. Don, N.G., Kirilenko, A.A., and Senkevich, S.L., (2008), New type of eigenoscillations and total-transmission resonance through an iris with below-cutoff hole in a rectangular waveguide, Radiophysics and Quantum Electron. 51(2):101–108.
  12. Beruete, M., Campillo, I., Navarro-Cia, M., et al., (2007), Molding Left- or Right-Handed Metamaterials by Stacked Cut-Off Metallic Hole Arrays, IEEE Trans. Antennas and Propagation. 55(6):1514-1521.
  13. Gordon, R., Sinton, D., Kavanagh, K.L., and Brolo, A.G., (2008), A new generation of sensors based on extraordinary optical transmission, Accounts of Chemical Research.  8:1049-1057.
  14. Lomakin, V., Li, S.Q., and Michielssen, E., (2005), Manipulation of Stop-Band Gaps of Periodically Perforated Conducting Plates, IEEE Microw. Wireless Compon. Lett. 15(12):919-921.
  15. Munk, B.A., (2000), Frequency Selective Surfaces. Theory and Design. New-York: Wiley.
  16. Hill, R.A. and Munk, B.A., (1996), The effect of perturbating a frequency selective surface and its relation to design of a dual-band surface, IEEE Trans. Antennas and Propag. 44(3):368-374.
  17. Don, N., Kirilenko, A., and Mospan, L. (2006), Layout of a multislot iris as a tool for the frequency response control, Microwave and Optical Technology Letters. 48(8):1472-1476.
  18. Chen, C.C., (1971), Diffraction of electromagnetic waves by a conducting screen perforated periodically with circular holes, IEEE Trans. Microw. Theory Tech. 19(5):475-481.
  19. Shestopalov, V.P., (1987), Spectral theory and excitation of open structures, Naukova Dumka,
    Kiev: 288 p. (in Russian).
  20. Shestopalov, V.P. and Sirenko, Yu.K., (1989), Dynamic theory of gratings, Naukova Dumka,
    Kiev: 216 p. (in Russian).
  21. Sukhinin, S.V., (1984), Qualitative questions in the theory of scattering by periodic cylindrical obstacles, Dynamics of continuous media. 67:118-134 (in Russian).
  22. Kirilenko, A.A. and Tysik, B.G., (1993), Connection of S-matrix of waveguide and periodical structures with complex frequency spectrum, Electromagnetics. 13(3):301-318.
  23. Kirilenko, A.A., Perov, A.O., and Senkevich, S.L., (2009), Resonance properties of a perforated screen with two annular subwavelength holes of different diameters in the periodic cell, Radiofizika and Radioastronomiya. 14(1):45-57 (in Russian).


pages 471-489

Back