Abstract

A topology optimization method can be used to find out the optical waveguide structures which have the desired transmission characteristics. Using the function expansion method, we can avoid the problem of a gray area, which means that some areas having intermediate refractive index between those of usable materials appear in a design region. However, so far, topology optimization has mainly been studied for structures consisting of two isotropic materials. In this paper, we study the applicability of topology optimization to structures which include three or more materials, and demonstrate the optimal design of a waveguide crossing.

© 2012 IEEE

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  1. J. Jiang, J. Cai, G. P. Nordin, L. Li, "Parallel microgenetic algorithm design for photonic crystal and waveguide structures," Opt. Lett. 28, 2381-2383 (2003).
  2. L. Sanchis, A. Hakansson, D. Lopez-Zanon, J. Bravo-Avad, J. Sanchez-Dehesa, "Integrated optical devices design by genetic algorithm," Appl. Phys. Lett. 84, 4460-4462 (2004).
  3. Y. Sakamaki, T. Saida, T. Hashimoto, H. Takahashi, "New optical waveguide design based on wavefront matching method," J. Lightw. Technol. 25, 3511-3518 (2007).
  4. Y. Sakamaki, T. Saida, T. Hashimoto, H. Takahashi, "Low-loss Y-branch waveguides designed by wavefront matching method," J. Lightw. Technol. 27, 1128-1133 (2009).
  5. J. S. Jensen, O. Sigmund, "Systematic design of photonic crystal structures using topology optimization: Low-loss waveguide bends," Appl. Phys. Lett. 84, 2022-2024 (2004).
  6. J. S. Jensen, O. Sigmund, L. H. Frandsen, P. I. Borel, A. Harpøth, M. Kristensen, "Topology design and fabrication of an efficient double 90° photonic crystal waveguide bend," Photon. Technol. Lett. 17, 1202-1204 (2005).
  7. J. S. Jensen, O. Sigmund, "Topology optimization of photonic crystal structures: A high bandwidth low-loss T-junction waveguide," J. Opt. Soc. Amer. B 22, 1191-1198 (2005).
  8. W. R. Frei, D. A. Tortorelli, H. T. Johnson, "Topology optimization of a photonic crystal waveguide termination to maximize directional emission," Appl. Phys. Lett. 86, 111114 (2005).
  9. Y. Tsuji, K. Hirayama, T. Nomura, K. Sato, S. Nishiwaki, "Design of optical circuit devices based on topology optimization," IEEE Photon. Technol. Lett. 18, 850-852 (2006).
  10. Y. Tsuji, K. Hirayama, "Design of optical circuit devices using topology optimization method with function-expansion-based refractive index distribution," IEEE Photon. Technol. Lett. 20, 982-984 (2008).
  11. M. M. Spuhler, B. J. Offrein, G. L. Bona, R. Germann, I. Massarek, D. Erni, "A very short planar silica spot-size converter using a nonperiodic segmented waveguide," J. Lightw. Technol. 16, 1680-1684 (1998).
  12. Y. Tsuji, M. Koshiba, "Finite element method using port truncation by perfectly matched layer boundary conditions for optical waveguide discontinuity problems," J. Lightw. Technol. 20, 463-468 (2002).

2009 (1)

Y. Sakamaki, T. Saida, T. Hashimoto, H. Takahashi, "Low-loss Y-branch waveguides designed by wavefront matching method," J. Lightw. Technol. 27, 1128-1133 (2009).

2008 (1)

Y. Tsuji, K. Hirayama, "Design of optical circuit devices using topology optimization method with function-expansion-based refractive index distribution," IEEE Photon. Technol. Lett. 20, 982-984 (2008).

2007 (1)

Y. Sakamaki, T. Saida, T. Hashimoto, H. Takahashi, "New optical waveguide design based on wavefront matching method," J. Lightw. Technol. 25, 3511-3518 (2007).

2006 (1)

Y. Tsuji, K. Hirayama, T. Nomura, K. Sato, S. Nishiwaki, "Design of optical circuit devices based on topology optimization," IEEE Photon. Technol. Lett. 18, 850-852 (2006).

2005 (3)

J. S. Jensen, O. Sigmund, L. H. Frandsen, P. I. Borel, A. Harpøth, M. Kristensen, "Topology design and fabrication of an efficient double 90° photonic crystal waveguide bend," Photon. Technol. Lett. 17, 1202-1204 (2005).

J. S. Jensen, O. Sigmund, "Topology optimization of photonic crystal structures: A high bandwidth low-loss T-junction waveguide," J. Opt. Soc. Amer. B 22, 1191-1198 (2005).

W. R. Frei, D. A. Tortorelli, H. T. Johnson, "Topology optimization of a photonic crystal waveguide termination to maximize directional emission," Appl. Phys. Lett. 86, 111114 (2005).

2004 (2)

L. Sanchis, A. Hakansson, D. Lopez-Zanon, J. Bravo-Avad, J. Sanchez-Dehesa, "Integrated optical devices design by genetic algorithm," Appl. Phys. Lett. 84, 4460-4462 (2004).

J. S. Jensen, O. Sigmund, "Systematic design of photonic crystal structures using topology optimization: Low-loss waveguide bends," Appl. Phys. Lett. 84, 2022-2024 (2004).

2003 (1)

2002 (1)

Y. Tsuji, M. Koshiba, "Finite element method using port truncation by perfectly matched layer boundary conditions for optical waveguide discontinuity problems," J. Lightw. Technol. 20, 463-468 (2002).

1998 (1)

M. M. Spuhler, B. J. Offrein, G. L. Bona, R. Germann, I. Massarek, D. Erni, "A very short planar silica spot-size converter using a nonperiodic segmented waveguide," J. Lightw. Technol. 16, 1680-1684 (1998).

Appl. Phys. Lett. (3)

L. Sanchis, A. Hakansson, D. Lopez-Zanon, J. Bravo-Avad, J. Sanchez-Dehesa, "Integrated optical devices design by genetic algorithm," Appl. Phys. Lett. 84, 4460-4462 (2004).

J. S. Jensen, O. Sigmund, "Systematic design of photonic crystal structures using topology optimization: Low-loss waveguide bends," Appl. Phys. Lett. 84, 2022-2024 (2004).

W. R. Frei, D. A. Tortorelli, H. T. Johnson, "Topology optimization of a photonic crystal waveguide termination to maximize directional emission," Appl. Phys. Lett. 86, 111114 (2005).

IEEE Photon. Technol. Lett. (1)

Y. Tsuji, K. Hirayama, T. Nomura, K. Sato, S. Nishiwaki, "Design of optical circuit devices based on topology optimization," IEEE Photon. Technol. Lett. 18, 850-852 (2006).

IEEE Photon. Technol. Lett. (1)

Y. Tsuji, K. Hirayama, "Design of optical circuit devices using topology optimization method with function-expansion-based refractive index distribution," IEEE Photon. Technol. Lett. 20, 982-984 (2008).

J. Lightw. Technol. (1)

M. M. Spuhler, B. J. Offrein, G. L. Bona, R. Germann, I. Massarek, D. Erni, "A very short planar silica spot-size converter using a nonperiodic segmented waveguide," J. Lightw. Technol. 16, 1680-1684 (1998).

J. Lightw. Technol. (1)

Y. Tsuji, M. Koshiba, "Finite element method using port truncation by perfectly matched layer boundary conditions for optical waveguide discontinuity problems," J. Lightw. Technol. 20, 463-468 (2002).

J. Lightw. Technol. (2)

Y. Sakamaki, T. Saida, T. Hashimoto, H. Takahashi, "New optical waveguide design based on wavefront matching method," J. Lightw. Technol. 25, 3511-3518 (2007).

Y. Sakamaki, T. Saida, T. Hashimoto, H. Takahashi, "Low-loss Y-branch waveguides designed by wavefront matching method," J. Lightw. Technol. 27, 1128-1133 (2009).

J. Opt. Soc. Amer. B (1)

J. S. Jensen, O. Sigmund, "Topology optimization of photonic crystal structures: A high bandwidth low-loss T-junction waveguide," J. Opt. Soc. Amer. B 22, 1191-1198 (2005).

Opt. Lett. (1)

Photon. Technol. Lett. (1)

J. S. Jensen, O. Sigmund, L. H. Frandsen, P. I. Borel, A. Harpøth, M. Kristensen, "Topology design and fabrication of an efficient double 90° photonic crystal waveguide bend," Photon. Technol. Lett. 17, 1202-1204 (2005).

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