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Engineering the near-field imaging of a rectangular-lattice photonic-crystal slab in the second band

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Abstract

Imaging properties of a two-dimensional rectangular-lattice photonic crystal (PC) slab consisting of air holes immersed in a dielectric are studied in this work. The field patterns of electromagnetic waves radiated from a point source through the PC slab are calculated with the finite-difference time-domain method. Comparing the field patterns with the corresponding equifrequency-surface contours simulated by the plane-wave expansion method, we find that an excellent-quality near-field image may be formed through the PC slab by the mechanisms of the simultaneous action of the self-collimation effect and the negative-refraction effect. Near-field imaging may be obtained within two different frequency regions in two vertical directions of the PC slab.

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References

  1. Pendry J B. Negative refraction makes a perfect lens. Phys Rev Lett, 2000, 85: 3966

    Article  ADS  Google Scholar 

  2. VeSelago V G. The electromagnetics of substances with simultaneously negative values of ɛ and µ. Sov Phys Usp, 1968, 10: 509

    Article  ADS  Google Scholar 

  3. Smith D R, Schurig D. Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors. Phys Rev Lett, 2003, 90: 077405

    Google Scholar 

  4. Li J S, Zhou L, Chan C T, et al. Photonic band gap from a stack of positive and negative index materials. Phys Rev Lett, 2003, 90: 083901

    Google Scholar 

  5. Shelby R A, Smith D R, Schultz S. Experimental verification of a negative index of refraction. Science, 2001, 292: 77

    Article  ADS  Google Scholar 

  6. Luo C, Johnson S G, Joannopoulos J D, et al. All-angle negative refraction without negative effective index. Phys Rev B, 2002, 65: 201104(R)

    Google Scholar 

  7. Li Z Y, Lin L L. Evaluation of lensing in photonic crystal slabs exhibiting negative refraction. Phys Rev B, 2003, 68: 245110

    Google Scholar 

  8. Zhang X D. Image resolution depending on slab thickness and object distance in a two-dimensional photonic-crystal-based superlens. Phys Rev B, 2004, 70: 195110

    Google Scholar 

  9. Feng L, Liu X P, Ren J, et al. Imaging properties of an elliptical-rod photonic-crystal slab lens. J Appl Phys, 2005, 98: 073104

    Google Scholar 

  10. Li J, Lu M H, Ren J, et al. All-angle negative refraction imaging effect with complex two-dimensional hexagonal photonic crystals. J Appl Phys, 2007, 102: 073538

    Google Scholar 

  11. Feng S, Li Z Y, Feng Z F, et al. Engineering the imaging properties of a metallic photonic-crystal slab lens. Appl Phys Lett, 2006, 88: 031104

    Google Scholar 

  12. Feng S, Wang Y Q, Li Z Y, et al. Imaging properties of a rectangular-lattice metallic photonic-crystal slab. Chin Phys Lett, 2007, 24:229

    Article  ADS  Google Scholar 

  13. Qiu C Y, Zhang X, Liu Z Y. Far-field imaging of acoustic waves by a two-dimensional sonic crystal. Phys Rev B, 2005, 71: 054302

    Google Scholar 

  14. Fang Y T, Shen T G. Multi-Imaging by photonic crystal slab using negative refraction. Chin Phys Lett, 2005, 22: 949

    Article  ADS  Google Scholar 

  15. He S, Ruan Z C, Chen L, et al. Focusing properties of a photonic crystal slab with negative refraction. Phys Rev B, 2004, 70: 115113

    Google Scholar 

  16. Xu J P, Wang L G, Yang Y P. Realization of an angular filter using one-dimensional photonic crystal containing negative refractive metamaterials. Acta Phys Sin, 2006, 56: 2765

    MathSciNet  Google Scholar 

  17. Li Y Y, Gu P F, Zhang J L, et al. Analysis of the negative refraction in two-dimensional photonic crystals with wavy structure. Acta Phys Sin, 2006, 55: 4918

    Google Scholar 

  18. Li Z Y, Wang J, Gu B Y. Creation of partial band gaps in anisotropic photonic-band-gap structures. Phys Rev B, 1998, 58: 3721

    Article  ADS  Google Scholar 

  19. Qiu M, He S L. Large complete band gap in two-dimensional photonic crystals with elliptic air holes. Phys Rev B, 1999, 60: 10610

    Google Scholar 

  20. Yee K S. Numerical solution of initial boundary value problems involving Maxwell equations in isopic media. IEEE Trans Antenna Propag, 1966, 14: 302

    Article  MATH  ADS  Google Scholar 

  21. Berenger J P. Three-dimensional perfectly matched layer for the absorption of electromagnetic waves. J Comput Phys, 1994, 114: 185

    Article  MATH  ADS  MathSciNet  Google Scholar 

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Correspondence to Shuai Feng.

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Supported by the Research Foundation of the State Ethnic Affairs Commission of China (Grant No. 07ZY15), the National Key Basic Research Special Foundation of China (Grant Nos. 2004CB719804 and 2006CB921702), the National Natural Science Foundation of China (Grant Nos. 10674185 and 10705056), and the Youth Foundation of Central University of Nationalities (Grant No. CUN0207)

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Feng, S., Ao, L. & Wang, Y. Engineering the near-field imaging of a rectangular-lattice photonic-crystal slab in the second band. Sci. China Ser. G-Phys. Mech. Astron. 52, 87–91 (2009). https://doi.org/10.1007/s11433-009-0022-4

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  • DOI: https://doi.org/10.1007/s11433-009-0022-4

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