Abstract
A new application of one-dimensional photonic crystals containing negative-index materials is proposed as low-pass spatial filters. Through optimizing the parameters of defect layer, a series of polarization-independent defect modes in the zero-average-index gap of the photonic crystals are obtained with the increase of the incident angle. Based on these defect modes, polarization-independent low-pass spatial filters are designed. The spatial-frequency bandwidth of the spatial filters can be adjusted by changing the period number of the defective photonic crystal structures. In addition, the effect of the losses of negative-index materials on the spatial filters is considered.
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References
J.W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1988), Chap. 8, pp. 217–290
S.P. Almeida, G. Indebetouw, Applications of Optical Fourier Transforms (Academic Press, San Diego, 1982), Chap. 2, pp. 41–87
D. Schurig, D.R. Smith, Appl. Phys. Lett. 82, 2215 (2003)
I. Moreno, J.J. Araiza, M. Avendano-Alejo, Opt. Lett. 30, 914 (2005)
Z. Tang, D. Fan, S. Wen, Y. Ye, C. Zhao, Chin. Opt. Lett. 5, s211 (2007)
V.G. Veselago, Sov. Phys. Usp. 10, 509 (1968)
J.B. Pendry, A.J. Holden, W.J. Stewart, I. Youngs, Phys. Rev. Lett. 76, 4773 (1996)
R.A. Shelby, D.R. Smith, S. Schultz, Science 292, 77 (2001)
V.P. Drachev, W. Cai, U.K. Chettiar, H.-K. Yuan, A.K. Sarychev, A.V. Kildishev, G. Klimeck, V.M. Shalaev, Laser Phys. Lett. 3, 49 (2006)
V.M. Shalaev, Nat. Photonics 1, 41 (2007)
J. Li, L. Zhou, C.T. Chan, P. Sheng, Phys. Rev. Lett. 90, 083901 (2003)
J. Li, D.G. Zhao, Z.Y. Liu, Phys. Lett. A 332, 461 (2004)
Y. Xiang, X. Dai, S. Wen, D. Fan, Phys. Rev. E 76, 056604 (2007)
H. Jiang, H. Chen, H. Li, Y. Zhang, Appl. Phys. Lett. 83, 5386 (2003)
Y. Xiang, X. Dai, S. Wen, D. Fan, J. Appl. Phys. 102, 093107 (2007)
Y. Chen, J. Dong, H. Wang, J. Opt. Soc. Am. B 23, 776 (2006)
Y.H. Chen, G.Q. Liang, J.W. Dong, H.Z. Wang, Phys. Lett. A 351, 446 (2006)
Y. Xiang, X. Dai, S. Wen, D. Fan, Opt. Lett. 33, 1255 (2008)
K.Y. Xu, X. Zheng, C.L. Li, W.L. She, Phys. Rev. E 71, 066604 (2005)
M. Makhan, S.K. Ramchurn, J. Opt. Soc. Am. B 24, 3040 (2007)
M. Born, E. Wolf, Principles of Optics (Cambridge University Press, Cambridge, 1999), Chap. 1, pp. 54–74
V.M. Shalaev, W. Cai, U.K. Chettiar, H.K. Yuan, A.K. Sarychev, V.P. Drachev, A.V. Kildishev, Opt. Lett. 30, 3356 (2005)
G. Dolling, C. Enkrich, M. Wegener, C.M. Soukoulis, S. Linden, Opt. Lett. 31, 1800 (2006)
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Luo, Z., Tang, Z., Xiang, Y. et al. Polarization-independent low-pass spatial filters based on one-dimensional photonic crystals containing negative-index materials. Appl. Phys. B 94, 641–646 (2009). https://doi.org/10.1007/s00340-009-3376-4
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DOI: https://doi.org/10.1007/s00340-009-3376-4