OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 9 — May. 1, 2006
  • pp: 4151–4168

Cubic interpolated propagation scheme in numerical analysis of lightwave and optical force

Daisuke Barada, Takashi Fukuda, Masahide Itoh, and Toyohiko Yatagai  »View Author Affiliations

Optics Express, Vol. 14, Issue 9, pp. 4151-4168 (2006)

View Full Text Article

Enhanced HTML    Acrobat PDF (647 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A novel technique using a cubic interpolated propagation or constrained interpolation profile (CIP) scheme for numerical analysis of light propagation in dielectric media is proposed. One- and two-dimensional calculations of the propagation of short Gaussian pulses are performed. The validity of the proposed technique is confirmed by applying it to the examination of the reflection from dielectric media. Using the CIP scheme, the optical force acted upon a dielectric disc is also calculated and it is shown that the direction of the calculated force is consistent with the direction predicted from theory.

© 2006 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(260.2160) Physical optics : Energy transfer

ToC Category:
Physical Optics

Original Manuscript: February 9, 2006
Revised Manuscript: April 17, 2006
Manuscript Accepted: April 18, 2006
Published: May 1, 2006

Daisuke Barada, Takashi Fukuda, Masahide Itoh, and Toyohiko Yatagai, "Cubic interpolated propagation scheme in numerical analysis of lightwave and optical force," Opt. Express 14, 4151-4168 (2006)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media," IEEE Trans. Antennas Propagat.,  14,302-307 (1966) [CrossRef]
  2. A. Taflove and S. C. Hagness, Computational electrodynamics: the finite-difference time-domain method, 3rd edition, (Artech House, Norwood, MA, 2005)
  3. P. Rochon and E. Batalla and A. Natansohn, "Optically induced surface gratings on azoaromatic polymer films," Appl. Phys. Lett. 66,136-138 (1995) [CrossRef]
  4. D. Y. Kim, S. K. Tripathy, L. Li and J. Kumar, "Laser-induced holographic surface relief gratings on nonlinear optical polymer films," Appl. Phys. Lett. 66,1166-1168 (1995) [CrossRef]
  5. C. J. Barrett, P. L. Rochon and A. L. Natansohn, "Model of laser-driven mass transport in thin films of dyefunctionalized polymers," J. Chem. Phys. 109,1505-1516 (1998) [CrossRef]
  6. P. Lefin, C. Fiorini and J. M. Nunzi, "Anisotoropy of the photoinduced translation diffusion of azo-dyes," Opt. Mater. 9,323-328 (1998) [CrossRef]
  7. T. G. Pedersen, P. M. Johansen, N. C. R. Holme and P. S. Ramanujam, "Mean-field theory of photoinduced formation of surface reliefs in side-chain azobenzene polymers," Phys. Rev. Lett. 80,89-92 (1998) [CrossRef]
  8. J. Kumar, L. Li, X. L. Jiang, D. Y. Kim, T. S. Lee and S. Tripathy, "Gradient force: the mechanism for surface relief grating formation in azobenzene functionalized polymers," Appl. Phys. Lett. 72,2096-2098 (1998) [CrossRef]
  9. D. Barada,M. Itoh and T. Yatagai, "Computer simulation of photoinduced mass transport on azobenzene polymer films by particle method," J. Appl. Phys. 96,4204-4210 (2004) [CrossRef]
  10. D. Barada, T. Fukuda, M. Itoh and T. Yatagai, "Numerical analysis of photoinduced surface relief grating formation by particle method," Opt. Rev. 12,271-273 (2005) [CrossRef]
  11. D. Barada, T. Fukuda, M. Itoh and T. Yatagai, "Proposal of novel model for photoinduced mass transport and numerical analysis by electromagnetic-induced particle transport method," Jpn. J. Appl. Phys. 45,465-469 (2006) [CrossRef]
  12. H. Takewaki, A. Nishiguchi and T. Yabe, "The cubic-interpolated pseudo-particle (CIP) method for solving hyperbolic-type equations," J. Comput. Phys. 61,261-268 (1985) [CrossRef]
  13. H. Takewaki and T. Yabe, "The cubic-interpolated pseudo particle (CIP) method: application to nonlinear and multi-dimensional hyperbolic equations," J. Comput. Phys. 70,355-372 (1987) [CrossRef]
  14. T. Yabe and E. Takei, "A new higher-order Godunov method for general hyperbolic equations," J. Phys. Soc. Jpn. 57,2598-2601 (1988) [CrossRef]
  15. T. Yabe and T. Aoki, "A universal solver for hyperbolic-equations by cubic-polynomial interpolation. I. Onedimensional solver," Comput. Phys. Commun. 66,219-232 (1991) [CrossRef]
  16. T. Yabe, T. Ishikawa, P. Y. Wang, T. Aoki, Y. Kadota and F. Ikeda, "A universal solver for hyperbolic-equations by cubic-polynomial interpolation. II. Two- and three-dimensional solvers," Comput. Phys. Commun. 66,233-242 (1991) [CrossRef]
  17. T. Yabe and P. Y. Wang, "Unified numerical procedure for compressible and incompressible fluid, " J. Phys. Soc. Jpn. 60,2105-2108 (1991) [CrossRef]
  18. T. Yabe, F. Xiao and T. Utsumi, "Constrained interpolation profile method for multiphase analysis," J. Comput. Phys. 169,556593 (2001) [CrossRef]
  19. T. Yabe, H. Mizoe, K. Takizawa, H. Morikia, H. N. Ima and Y. Ogata, "Higher-order schemes with CIP method and adaptive Soroban grid towards mesh-free scheme," J. Comput. Phys. 194,55-77 (2004) [CrossRef]
  20. Y. Ogata, T. Yabe and K. Odagaki, "An accurate numerical scheme for Maxwell equation with CIP-method of characteristics," Commun. Copmut. Phys. 1,311-335 (2006)
  21. G. Mur, "Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations," IEEE Trans. Electromagn. Compat. 23,377-382 (1981) [CrossRef]
  22. J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys. 114,185-200 (1994) [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Supplementary Material

» Media 1: GIF (128 KB)     
» Media 2: GIF (631 KB)     
» Media 3: GIF (241 KB)     
» Media 4: GIF (690 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited