Design of optical circuit devices using topology optimization method with function-expansion- based refractive index distribution

IEEE Photonics Technology Letters

Volumn 20, Issue 12, 2008, Pages 982-984

  Tsuji, Yasuhide ^a   Hirayama, Koichi ^a  

^a KITAMI INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Finite element method; Optical circuit device; Topology optimization

Indexed keywords

ELECTRIC NETWORK TOPOLOGY; FINITE ELEMENT METHOD; REFRACTIVE INDEX; SHAPE OPTIMIZATION;

DENSITY METHOD; OPTICAL CIRCUIT DEVICE;

OPTICAL WAVEGUIDES;

EID: 44849090920     PISSN: 10411135     EISSN: None     Source Type: Journal    
DOI: 10.1109/LPT.2008.922921     Document Type: Article

References (16)

1. Y. Sakamaki, T. Saida, T. Shibata, Y. Hida, T. Hashimoto, M. Tamura, and H. Takahashi, "Y-branch waveguides with stabilized splitting ratio designed by wavefront matching method," IEEE Photon. Technol. Lett. vol. 18, no. 7, pp. 817-819, Apr. 1, 2006.
2. G. Kiziltas, D. Psychoudakis, J. L. Volakis, and N. Kikuchi, "Topology design optimization of dielectric substrates for bandwidth improvement of a patch antenna," IEEE Trans. Antennas Propag., vol. 51, no. 10, pp. 2732-2743, Oct. 2003.
3. J. S. Jensen and O. Sigmund, "Systematic design of photonic crystal structures using topology optimization: Low-Loss waveguide bends," Appl. Phys. Lett., vol. 84, no. 12, pp. 2022-2024, Mar. 2004.
4. P. I. Borel, A. Harpøth, L. H. Frandsen, M. Kristensen, P. Shi, J. S. Jensen, and O. Sigmund, "Topology optimization and fabrication of photonic crystal stuctures," Opt. Express, vol. 12, no. 9, pp. 1996-2001, May 2004.
5. L. H. Frandsen, A. Harpøth, P. I. Borel, M. Kristensen, J. S. Jensen, and O. Sigmund, "Broadband photonic crystal waveguide 60° bend obtained utilizing topology optimization," Opt. Express, vol. 12, no. 24, pp. 5916-5921, Nov. 2004.
6. W. R. Frei, D. A. Tortorelli, and H. T. Johnson, "Topology optimization of a photonic crystal waveguide termination to maximize directional emission," Appl. Phys. Lett., vol. 86, no. 11, Mar. 2005, Article 111114.
7. J. S. Jensen, O. Sigmund, L. H. Frandsen, P. I. Borel, A. Harpøth, and M. Kristensen, "Topology design and fabrication of an efficient double 90° phototnic crystal waveguide, bend," IEEE Photon. Technol. Lett. vol. 17, no. 6, pp. 1202-1204, Jun. 2005.
8. J. S. Jensen and O. Sigmund, "Topology optimization of photonic crystal structures: A high bandwidth low-loss T-Junction waveguide," J. Opt. Soc. Amer. B, Opt. Phys., vol. 22, no. 6, pp. 1191-1198, Jun. 2005.
9. A. Têtu, M. Kristensen, L. H. Frandsen, A. Harpøth, P. I. Borel, J. S. Jensen, and O. Sigmund "Broadband topology-optimized photonic crystal components for both TE and TM polarizations," Opt. Express vol. 13. no. 21, pp. 8606-8611, Oct. 2005.
10. Y. Tsuji, K. Hirayama, T. Nomura, K. Sato, and S. Nishiwaki, "Design of optical circuit devices based on topology optimization," IEEE Photon. Technol. Lett., vol. 18, no. 7, pp. 850-852, Apr. 1, 2006.
11. Y. Watanbe, Y. Sugimoto, N. Ikeda, N. Ozaki, A. Mizutani, Y. Takata, Y. Kitagawa, Y. Sugimoto, N. Ikeda, N. Ozaki, A. Mizutani, Y. Takata, with low crosstalK in two-dimensional photonic crystal circuits by using topologv optimization." Opt. Express, vol. 14. no. 20, pp. 9502-9057, Oct. 2006.
12. Y. Watanabe, N. Ikeda, Y. Sugimoto, Y. Takata, Y. Kitagawa, A. Mizutani, N. Ozaki, and K. Asakawa, "Topology optimization of waveguide bends with wide, flat bandwidth in air-bridge-type photonic crystal slabs," J. Appl. Phys., vol. 101, no. 11, Jun. 2007, Article 113108.
13. K. Hirayama, Y. Tsuji, T. Nomura, K. Sato, and S. Nishiwaki, "Application of topology optimazation to II-plane waveguide component," IEICE Trans. Electron., vol. E90-C, no. 2, pp. 282-287, Feb. 2007.
14. J. Riishede and O. Sigmund, "Inverse design of dispersion compensating optical fiber using topology optimization," J. Opt. Soc. Amer. B, Opt. Phys., vol. 25, no. 1, pp. 88-97, Jan. 2008.
15. W. R. Frei, D. A. Totorelli, and H. T. Johnson, "Geometry projection method for optimizing photonic nanostructures," Opt. Lett., vol. 32, no. 1, pp. 77-79, Jan. 2007.
16. Y. Tsuji and M. Koshiba, "Finite element method using port truncation by perfectly matched layer boundary conditions for optical waveguide discontinuity problems," J. Lightw. Technol., vol. 20, no. 3, pp. 463-468, Mar. 2002.