Numerical scheme to determine the photonic properties of tunable crystals

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5511, Issue , 2004, Pages 112-122

  Vatsya, S R ^a  

^a NATIONAL RESEARCH COUNCIL CANADA   (Canada)

Author keywords

Fourier transform; Numerical scheme; Path integral; Propagator; Tunable photonic crystals

Indexed keywords

ELECTROMAGNETIC FIELDS; ENERGY GAP; FOURIER TRANSFORMS; PHOTONS; POLARIZATION; QUANTUM THEORY; TUNING;

NUMERICAL SCHEMES; PATH INTEGRALS; PROPAGATORS; TUNABLE PHOTONIC CRYSTALS;

CRYSTALS;

EID: 13244266950     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.557185     Document Type: Conference Paper

References (17)

1. C. Martijn de Sterke and J. E. Sipe, "Envelope-function approach for the electrodynamics of nonlinear periodic structures," Phys. Rev. A, 38, 5149-5165 (1988).
2. C. Martijn de Sterke and J. E. Sipe, "Coupled modes and the nonlinear Schrödinger equation," Phys. Rev. A, 42, 550-555 (1990).
3. N. Aközbec and S. John, "Optical solitary waves in two- and three-dimensional nonlinear photonic band-gap structures," Phys. Rev. E, 57, 2287-2319 (1998).
4. A. Chiron et al, "Numerical simulations of the nonlinear propagation of femtosecond optical pulses in gases," Eur. Phys. Rev. J, D6, 383-396 (1999).
5. S. L. Chin et al, "Transverse ring formation of a focused femtosecond laser pulse propagating in air," Optic. Commun, 188, 181-186 (2001).
6. L. N. Gaier et al, "Ultrafast multiphoton forest fires and fractals in clusters and dielectrics," J. Phys. B, 37, L57-L67 (2004).
7. A. C. Newell and J. V. Maloney, Nonlinear Optics, Addison-Wesley, Redwood City, CA (1992).
8. D. Subbarao, H. Singh, R. Uma and S. Bhaskar, "Computer simulation of laser-beam self-focusing in a plasma," J. Plasma Phys., 61, 449-467 (1998).
9. M. D. Feit, J. A. Fleck, Jr., and A. Steiger, "Solution of the Schrödinger equation by a spectral method," J. Comput. Phys., 47, 412-433 (1982).
10. Y. S. Kivshar and G. P. Agrawal, Optical Solitons, Ch. 2, Academic Press, New York (2003).
11. S. R. Valluri, "A numerical method fo one dimensional action functionals of photonic band gap structures," Can. J. Phys., 82, 423-437 (2004).
12. S. R. Vatsya, C. Lin and S. K. Nikumb, "Surface profile of material ablated with high-power lasers in ambient air medium," J. Appl. Phys., Submitted for publication.
13. J. Sun and J. P. Longtin, "Effects of gas medium on femtosecond laser beam delivery," J. Appl. Phys., 89, 8219-8228 (2001).
14. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals, Ch. 4, McGraw-Hill, New York (1965).
15. S. R. Vatsya, Modelling of surface evolution in laser ablation of metals for pulse widths in nanosecond regime, Internal Report: IMTI-TR-017(2002/08), NRC, London, ON, Canada, (2002).
16. S. R. Vatsya and K. S. Virk, "Solution of two-temperature thermal diffusion model of laser-metal interactions," J. Laser Appl., 15, 273-278 (2003).
17. W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, Numerical Recipes in C, pp. 584-591 (Sec. 13.9), Cambridge University Press, New York (1992).