Antireflection Coating at Metamaterial Waveguide Structure by Using Superlattices (LANS)

H. M. Mousa

Physics Department, Al Azhar University, Gaza, Palestinian.

DOI: 10.4236/jmp.2014.58074                

Abstract

The characteristics of electromagnetic wave reflection and transmission by multilayered structures consisting of a pair of left-handed material (LHM) and superlattices (LANS) slabs inserted between two semi-infinite dielectric media are investigated for photovoltaic and solar energy applications. Maxwell’s equations are used to determine the electric and magnetic fields of the perpendicular polarized wave incident at each layer. Snell’s law is applied and the boundary conditions are imposed at each layer interface to calculate the reflected and transmitted coefficients of the structure. The reflected, transmitted powers are determined using these coefficients by a recursive method. The reflected and transmitted powers are computed in both visible and microwave spectral band with the appropriate LHM for each band and appropriate location of LANS in the structure. They are illustrated as a function of the incident wavelength, angle of incidence, magnetic fraction of LANS and thickness of the slabs with the emphasis on the appropriate refractive indices. I found that, zero reflectance and maximum transmittance of the incident powers are achieved for visible spectral band at a single frequency if LHM and LANS have the same refractive index of opposite signs with the same width and more magnetic material of LANS while the reflected power is zero for less magnetic material of LANS in the microwave spectral band which realizes antireflection coating in this structure.

Keywords

Angle of Incidence, Magnetic Fraction, Metamaterial, Microwave Band, Reflection, Transmission, Superlattices, Visible Band

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Dobrowolski, J.A., Poitras, D., Ma, P., Vakil, H. and Acree, M. (2002) Applied Optics, 41, 3075-3083. http://dx.doi.org/10.1364/AO.41.003075
[2]	Deinega, A., Valuev, I., Potapkin, B. and Lozovik, Y. (2011) JOSA A, 28, 770-777.
[3]	Bouhafs, D., Moussi, A., Chikouche, A. and Ruiz, M. (1998) Solar Energy Materials and Solar Cells, 52, 79-93.
[4]	Chen, H., Zhou, J., Hara, J., Chen, F., Azad, A.K. and Taylor, A.K. (2010) Physical Review Letters, 105, Article ID: 073901. http://dx.doi.org/10.1103/PhysRevLett.105.073901
[5]	Mousa, H.M. and Shabat, M.M. (2012) Applied Physics A, 111, 1057-1063. http://dx.doi.org/10.1007/s00339-012-7482-5
[6]	Mousa, H.M. and Shabat, M.M. (2011) International Journal of Modern Physics B, 25, 4543. http://dx.doi.org/10.1142/S0217979211052071
[7]	Sopori, B.L. and Pryor, R.A. (1983) Solar Cells, 8, 249-261. http://dx.doi.org/10.1016/0379-6787(83)90064-9
[8]	Redfield, D. (1981) Solar Cells, 3, 27-33. http://dx.doi.org/10.1016/0379-6787(81)90079-X
[9]	Buie, D., McCann, M.J., Weber, K.J. and Dey, C.J. (2004) Solar Energy Materials and Solar Cells, 81, 13-24. http://dx.doi.org/10.1016/j.solmat.2003.08.009
[10]	Oraizi, H. and Afsahi, M. (2009) Progress in Electromagnetics Research B, 14, 263-283.
[11]	Cory, H. and Zach, C. (2004) Microwave and Optical Technology Letters, 40, 460-465. http://dx.doi.org/10.1002/mop.20005
[12]	Shabat, M.M. and Mousa, H.M. (2007) SPIE Proceedings, 6582.
[13]	Vigoureux, J.M. (1991) Journal of the Optical Society of America, 8, 1697-1701.
[14]	Kong, J.A. (2005) Theory of Electromagnetic Waves. EMW Publishing.
[15]	Shelby, R.A. (2001) Microwave Experiments with Left-Handed Materials. Ph.D. Thesis, University of Calefornia, San Diego.
[16]	Caloz, C. and Itoh, T. (2006) Electromagnetic Metamaterials. John Wiley and Sons, New Jersey.
[17]	Kong, J.A. (2002) Progress in Electromagnetics Research-PIER, 35, 1-52. http://dx.doi.org/10.2528/PIER01082101
[18]	Isaac, T.H. (2009) Tunable Plasmonic Structures for Terahertz Frequencies. Ph.D. Thesis, University of Exeter, Exeter.
[19]	Pendry, J.B., Holden, A.J., Sewart, W. and Youngs, I. (1996) Physical Review Letters, 76, 4773-4776. http://dx.doi.org/10.1103/PhysRevLett.76.4773
[20]	Cory, H. and Zach, C. (2004) Microwave and Optical Technology Letters, 40, 460-465. http://dx.doi.org/10.1002/mop.20005