Theoretical study of light refraction in three-dimensional photonic crystals

Journal of Lightwave Technology

Volumn 25, Issue 9, 2007, Pages 2469-2474

  Chen, Xiaonan ^a   Jiang, Wei ^a,b   Chen, Jiaqi ^a   Chen, Ray T ^a  

^a The University of Texas at Austin   (United States)

^b Omega Optics   (United States)

Author keywords

3 D photonic crystals (PCs); Light refraction; Superprism; Transmission

Indexed keywords

LIGHT REFRACTION; LIGHT TRANSMISSION; MATRIX ALGEBRA; PRISMS;

POWER FLOW DIRECTION; SUPERPRISM; TRANSMISSION INTENSITY;

PHOTONIC CRYSTALS;

EID: 34548619622     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2007.902753     Document Type: Article

References (18)

1. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B, Condens. Matter, Vol. 58, no. 16, pp. R10096-R10099, Oct. 1998.
2. J. Shin and S. Fan, "Conditions for self-collimation in three-dimensional photonic crystals," Opt. Lett., Vol. 30, no. 18, pp. 2397-2399, Sep. 2005.
3. T. Prasad, V. Colvin, and D. Mittleman, "Superprism phenomenon in three-dimensional macroporous polymer photonic crystals," Phys. Rev. B, Condens. Matter, Vol. 67, no. 16, p. 165 103, Apr. 2003.
4. Z. Lu, J. A. Murakowski, C. A. Schuetz, S. Shi, G. J. Schneider, and D. W. Prather, "Three-dimensional subwavelength imaging by a photonic-crystal flat lens using negative refraction at microwave frequencies," Phys. Rev. Lett., Vol. 95, no. 15, p. 153 901, Oct. 2005.
5. S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express Vol. 8, no. 3, pp. 173-190, Jan. 2001.
6. Z. Li and K. Ho, "Application of structural symmetries in the plane-wave-based transfer-matrix method for three-dimensional photonic crystal waveguides," Phys. Rev. B, Condens. Matter, Vol. 68, no. 24, p. 155 101, Dec. 2003.
7. W. Jiang, R. T. Chen, and X. Lu, "Theory of light refraction at the surface of a photonic crystal," Phys. Rev. B, Condens. Matter, Vol. 71, no. 24, p. 245 115, Jun. 2005.
8. W. Jiang and R. T. Chen, "Rigorous analysis of diffraction gratings of arbitrary profiles using virtual photonic crystals," J. Opt. Soc. Amer. A, Opt. Image Sci., Vol. 23, no. 9, pp. 2192-2197, Sep. 2006.
9. H. S. Sozuer and J. W. Haus, "Photonic bands - Simple-cubic lattice," J. Opt. Soc. Amer. B, Opt. Phys., vol. 10, no. 2, pp. 296-302, Feb. 1993.
10. T. Minami, H. Ajiki, and K. Cho, "Branching ratio of light incident on a photonic crystal in a multibranch dispersion region," Physica E - Low-Dimensional Systems Nanostructures, vol. 13, no. 2-4, pp. 432-436, Mar. 2002.
11. Y. A. Vlasov, X.-Z. Bo, J. C. Sturm, and D. J. Norris, "On-chip natural assembly of silicon photonic bandgap crystals," Nature, vol. 414, no. 6861, pp. 289-293, Nov. 2001.
12. J. Chen, W. Jiang, X. Chen, L. Wang, S. Zhang, and R. T. Chen, "Holographic three-dimensional polymeric photonic crystals operating in the 1550 nm window," Appl. Phys. Lett., vol. 90, no. 9, p. 093 102, Feb. 2007.
13. V. Mizeikis, K. K. Seet, S. Juodkazis, and H. Misawa, "Three-dimensional woodpile photonic crystal templates for the infrared spectral range," Opt. Lett., vol. 29, no. 17, pp. 2061-2063, Sep. 2004.
14. K. Inoue and K. Ohtaka, Photonic Crystals: Physics, Fabrication and Applications. New York: Springer-Verlag, 2004.
15. L. Gu, W. Jiang, X. Chen, L. Wang, and R. T. Chen, "High speed silicon photonic crystal waveguide modulator for low voltage operation," Appl. Phys. Lett., vol. 90, no. 7, p. 071 105, Feb. 2007.
16. L. Gu, W. Jiang, X. Chen, and R. T. Chen, "Thermooptically tuned photonic crystal waveguide silicon-on-insulator Mach-Zehnder interferometers," IEEE Photon. Technol. Lett., Vol. 19, no. 5, pp. 342-344, Mar. 2007.
17. Y. Jiang, W. Jiang, L. Gu, X. Chen, and R. T. Chen, "80-micron interaction length silicon photonic crystal waveguide modulator," Appl. Phys. Lett., vol. 87, no. 22, p. 221 105, Nov. 2005.
18. W. Jiang and C. Gong, "Two mechanisms, three stages of the localization of light in a disordered dielectric structure with photonic band gaps," Phys. Rev. B, Condens. Matter, vol. 60, no. 17, p. 12015, Nov. 1999.