paper 150203025022

Published: 2015-07-09

On the Characteristics of Spoof Surface Plasmons (SSP) in the High Frequency Limit

Kushal Shah,

Kushal Shah

Indian Institute of Technology Delhi, India

Homepage

Sayak Bhattacharya

Indraprastha Institute of Information Technology Delhi, India

Homepage

Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)2651-2655

Abstract

In this paper, we show that diffraction from the subwavelength features at the surface of a perfect electric conductor (PEC) plays a very important role in determining the near-field characteristics and dispersion of spoof surface plasmon (SSP) in the high-frequency limit. Using constraints posed by the boundary conditions, we show that in this limit the field profile of SSP consists of multiple evanescent orders. We have determined the corresponding decay constants using angular spectrum representation and have verified the multi-exponential nature of the field profile against data obtained from full vectorial 3-D finite difference time domain (FDTD) simulation. Further, we use tight-binding model to describe the inter-hole interaction and obtain a closed form expression for the SSP dispersion relation and analytic prediction for the self-collimation frequency with reasonable accuracy.

Citation

Kushal Shah, and Sayak Bhattacharya, "On the Characteristics of Spoof Surface Plasmons (SSP) in the High Frequency Limit," Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)2651-2655

References

1. Pendry, J. B., L. Martin-Moreno, and F. J. Garcia-Vidal, "Mimicking surface plasmons with structured surfaces," Science, Vol. 305, 847-848, 2004. Google Scholar

2. Stone, E. K. and E. Hendry, "Dispersion of spoof surface plasmons in open-ended metallic hole arrays," Phys. Rev. B, Vol. 84, 035418, 2011. Google Scholar

3. Bhattacharya, S. and K. Shah, "Multimodal propagation of the electromagnetic wave on a structured perfect electric conductor (PEC) surface," Optics Comm., Vol. 328, 102-108, 2014. Google Scholar

4. Qiu, M., "Photonic band structures for surface waves on structured metal surfaces," Opt. Express, Vol. 13, No. 19, 7583-7588, 2005. Google Scholar

5. Mandel, L. and E. Wolf, Optical Coherence and Quantum Optics, Cambridge University Press, 1995. Google Scholar

6. Goodman, J. W., Introduction to Fourier Optics, McGraw-Hill, 1968. Google Scholar

7. Kim, S. H., T. T. Kim, S. S. Oh, J. E. Kim, and H. Y. Park, "Experimental demonstration of self-collimation of spoof surace plasmon," Phys. Rev. B, Vol. 83, 165109, 2011. Google Scholar

8. Kim, K. J., J. E. Kim, H. Y. Park, Y. H. Lee, and S. H. Kim, "Propagation of spoof surface plasmon on metallic square lattice: Bending and splitting of self-collimated beams," Opt. Express, Vol. 22, No. 4, 4050-4058, 2014. Google Scholar

9. Bhattacharya, S. and K. Shah, "Dispersion relation and self-collimation frequency of spoof surface plasmon using tight binding model," J. Optics, Accepted. Google Scholar

10. Johnston, D. C., "Stretched exponential relaxation arising from a continuous sum of exponential decays," Phys. Rev. B, Vol. 74, 184430, 2006. Google Scholar

11. Ashcroft, N. W. and N. D. Mermin, Solid State Physics, Harcourt College Publishers, 1976. Google Scholar