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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 15, Iss. 1 — Jan. 1, 1998
  • pp: 152–157

Electromagnetic analysis of diffraction gratings by the finite-difference time-domain method

Hiroyuki Ichikawa  »View Author Affiliations

JOSA A, Vol. 15, Issue 1, pp. 152-157 (1998)

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Diffraction gratings with feature sizes comparable to the wavelength are analyzed with a finite-difference time-domain method, which is a unique approach to electromagnetic problems in the time domain. The diffraction efficiencies obtained are in good agreement with other commonly used numerical methods in the frequency domain. As a further application, diffraction problems with pulsed light are also investigated.

© 1998 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory
(050.1970) Diffraction and gratings : Diffractive optics
(260.2110) Physical optics : Electromagnetic optics

Hiroyuki Ichikawa, "Electromagnetic analysis of diffraction gratings by the finite-difference time-domain method," J. Opt. Soc. Am. A 15, 152-157 (1998)

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  1. E. Noponen, A. Vasara, J. Turunen, J. M. Miller, and M. R. Taghizadeh, “Synthetic diffractive optics in the resonance domain,” J. Opt. Soc. Am. A 9, 1206–1213 (1992).
  2. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1996), pp. 36–38.
  3. T. K. Gaylord and M. G. Moharam, “Analysis and applications of optical diffraction by gratings,” Proc. IEEE 73, 894–937 (1985).
  4. R. Petit, ed., Electromagnetic Theory of Gratings (Springer-Verlag, Berlin, 1980).
  5. J. Turunen and F. Wyrowski, “Diffractive optics: from promise to fruition,” in Trends in Optics, A. Consortini, ed. (Academic, San Diego, Calif., 1996), Chap. 6, pp. 111–123.
  6. A. Taflove, “Review of the formulation and applications of the finite-difference time-domain method for numerical modeling of electromagnetic wave interactions with arbitrary structures,” Wave Motion 10, 547–582 (1988).
  7. A. Taflove and K. R. Umashankar, “Review of FD–TD numerical modeling of electromagnetic wave scattering and radar cross section,” Proc. IEEE 77, 682–699 (1989).
  8. K. L. Shlager and J. B. Schneider, “A selective survey of the finite-difference time-domain literature,” IEEE Trans. Antennas Propag. Mag. 37, 39–56 (1995).
  9. W.-J. Tsay and D. M. Pozar, “Application of the FDTD technique to periodic problems in scattering and radiation,” IEEE Microwave Guid. Wave Lett. 3, 250–252 (1993).
  10. A. C. Cangellaris, M. Gribbons, and G. Sohos, “A hybrid spectral/FDTD method for the electromagnetic analysis of guided waves in periodic structures,” IEEE Microwave Guid. Wave Lett. 3, 375–377 (1993).
  11. D. T. Prescott and N. V. Shuley, “Extensions to the FDTD method for the analysis of infinitely periodic arrays,” IEEE Microwave Guid. Wave Lett. 4, 352–354 (1994).
  12. J. B. Judkins and R. W. Ziolkowski, “Finite-difference time-domain modeling of nonperfectly conducting metallic thin-film gratings,” J. Opt. Soc. Am. A 12, 1974–1983 (1995).
  13. K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Trans. Antennas Propag. AP-14, 302–307 (1966).
  14. G. Mur, “Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations,” IEEE Trans. Electromagn. Compat. EMC-23, 377–382 (1981).
  15. J.-P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994).
  16. E. Noponen, J. Turunen, and A. Vasara, “Electromagnetic theory and design of diffractive-lens arrays,” J. Opt. Soc. Am. A 10, 434–443 (1993).
  17. A. Taflove and M. E. Brodwin, “Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell’s equations,” IEEE Trans. Microwave Theory Tech. MTT-23, 623–630 (1975).
  18. J. Turunen, “Form-birefringence limits of Fourier-expansion methods in grating theory,” J. Opt. Soc. Am. A 13, 1013–1018 (1996).
  19. L. Li, “Use of Fourier series in analysis of discontinuous periodic structures,” J. Opt. Soc. Am. A 13, 1870–1876 (1996).
  20. P. M. Goorjian, A. Taflove, R. M. Joseph, and S. C. Hagness, “Computational modeling of femtosecond optical solitons from Maxwell’s equations,” IEEE J. Quantum Electron. 28, 2416–2422 (1992).
  21. Z. Wang, Z. Xu, and Z. Zhnag, “Diffraction integral formulas of the pulsed wave field in the temporal domain,” Opt. Lett. 22, 354–356 (1997).
  22. B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991), pp. 921–924.
  23. W. T. Silfvast, “Lasers,” in Handbook of Optics, Vol. 1, M. Bass, ed. (McGraw-Hill, New York, 1995), Chap. 11, pp. 11.7–11.8.
  24. H. Kikuta, H. Yoshida, and K. Iwata, “Ability and limitation of effective medium theory for subwavelength gratings,” Opt. Rev. 2, 92–99 (1995).

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