Abstract

A boundary variation method for the fast and accurate modeling of three-dimensional waveguide grating couplers is presented. The algorithm is verified by detailed comparisons with the results of a rigorous spectral collocation method, showing excellent agreement. Examples of the modeling of large waveguide grating couplers are given to illustrate the applicability and versatility of the method.

© 2001 Optical Society of America

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  1. J. S. Hesthaven, P. G. Dinesen, J.-P. Lynov, “Spectral collocation time-domain modeling of diffractive optical elements,” J. Comput. Phys. 155, 287–306 (1999).
    [CrossRef]
  2. P. G. Dinesen, J. S. Hesthaven, “Rigorous 3-d analysis of focusing grating couplers using a spectral collocation method,” in Diffractive Optics and Micro-Optics, Vol. 41 of OSA Trends in Optics and Photonics (Optical Society of America, Washington, D.C., 2000), pp. 81–83.
  3. P. G. Dinesen, J. S. Hesthaven, “Fast and accurate modeling of waveguide grating couplers,” J. Opt. Soc. Am. A 17, 1565–1572 (2000).
    [CrossRef]
  4. O. P. Bruno, F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries,” J. Opt. Soc. Am. A 10, 1168–1175 (1993).
    [CrossRef]
  5. O. P. Bruno, F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries. III. Doubly periodic gratings,” J. Opt. Soc. Am. A 10, 2551–2562 (1993).
    [CrossRef]
  6. R. Syms, J. Cozens, Optical Guided Waves and Devices (McGraw-Hill, New York, 1993), p. 114.
  7. O. P. Bruno, F. Reitich, “Numerical solution of diffraction problems: a method of variation of boundaries. II. Finitely conducting gratings, Padé approximants, and singularities,” J. Opt. Soc. Am. A 10, 2307–2316 (1993).
    [CrossRef]
  8. S. A. Schelknuoff, “Some equivalence theorems of electromagnetics and their application to radiation problems,” Bell Syst. Tech. J. 15, 92–112 (1936).
    [CrossRef]
  9. D. W. Prather, M. S. Mirotznik, J. N. Mait, “Boundary integral methods applied to the analysis of diffractive optical elements,” J. Opt. Soc. Am. A 14, 34–43 (1997).
    [CrossRef]

2000 (1)

1999 (1)

J. S. Hesthaven, P. G. Dinesen, J.-P. Lynov, “Spectral collocation time-domain modeling of diffractive optical elements,” J. Comput. Phys. 155, 287–306 (1999).
[CrossRef]

1997 (1)

1993 (3)

1936 (1)

S. A. Schelknuoff, “Some equivalence theorems of electromagnetics and their application to radiation problems,” Bell Syst. Tech. J. 15, 92–112 (1936).
[CrossRef]

Bruno, O. P.

Cozens, J.

R. Syms, J. Cozens, Optical Guided Waves and Devices (McGraw-Hill, New York, 1993), p. 114.

Dinesen, P. G.

P. G. Dinesen, J. S. Hesthaven, “Fast and accurate modeling of waveguide grating couplers,” J. Opt. Soc. Am. A 17, 1565–1572 (2000).
[CrossRef]

J. S. Hesthaven, P. G. Dinesen, J.-P. Lynov, “Spectral collocation time-domain modeling of diffractive optical elements,” J. Comput. Phys. 155, 287–306 (1999).
[CrossRef]

P. G. Dinesen, J. S. Hesthaven, “Rigorous 3-d analysis of focusing grating couplers using a spectral collocation method,” in Diffractive Optics and Micro-Optics, Vol. 41 of OSA Trends in Optics and Photonics (Optical Society of America, Washington, D.C., 2000), pp. 81–83.

Hesthaven, J. S.

P. G. Dinesen, J. S. Hesthaven, “Fast and accurate modeling of waveguide grating couplers,” J. Opt. Soc. Am. A 17, 1565–1572 (2000).
[CrossRef]

J. S. Hesthaven, P. G. Dinesen, J.-P. Lynov, “Spectral collocation time-domain modeling of diffractive optical elements,” J. Comput. Phys. 155, 287–306 (1999).
[CrossRef]

P. G. Dinesen, J. S. Hesthaven, “Rigorous 3-d analysis of focusing grating couplers using a spectral collocation method,” in Diffractive Optics and Micro-Optics, Vol. 41 of OSA Trends in Optics and Photonics (Optical Society of America, Washington, D.C., 2000), pp. 81–83.

Lynov, J.-P.

J. S. Hesthaven, P. G. Dinesen, J.-P. Lynov, “Spectral collocation time-domain modeling of diffractive optical elements,” J. Comput. Phys. 155, 287–306 (1999).
[CrossRef]

Mait, J. N.

Mirotznik, M. S.

Prather, D. W.

Reitich, F.

Schelknuoff, S. A.

S. A. Schelknuoff, “Some equivalence theorems of electromagnetics and their application to radiation problems,” Bell Syst. Tech. J. 15, 92–112 (1936).
[CrossRef]

Syms, R.

R. Syms, J. Cozens, Optical Guided Waves and Devices (McGraw-Hill, New York, 1993), p. 114.

Bell Syst. Tech. J. (1)

S. A. Schelknuoff, “Some equivalence theorems of electromagnetics and their application to radiation problems,” Bell Syst. Tech. J. 15, 92–112 (1936).
[CrossRef]

J. Comput. Phys. (1)

J. S. Hesthaven, P. G. Dinesen, J.-P. Lynov, “Spectral collocation time-domain modeling of diffractive optical elements,” J. Comput. Phys. 155, 287–306 (1999).
[CrossRef]

J. Opt. Soc. Am. A (5)

Other (2)

P. G. Dinesen, J. S. Hesthaven, “Rigorous 3-d analysis of focusing grating couplers using a spectral collocation method,” in Diffractive Optics and Micro-Optics, Vol. 41 of OSA Trends in Optics and Photonics (Optical Society of America, Washington, D.C., 2000), pp. 81–83.

R. Syms, J. Cozens, Optical Guided Waves and Devices (McGraw-Hill, New York, 1993), p. 114.

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