Cited by 753Photonic and Optical DevicesTopology Optimization in EngineeringMetamaterials and Metasurfaces Applications

Adjoint shape optimization applied to electromagnetic design

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Lalau-Keraly, Christopher M., Bhargava, Samarth, Miller, Owen D., Yablonovitch, Eli·2013·Optics Express

Abstract

We present an adjoint-based optimization for electromagnetic design. It embeds commercial Maxwell solvers within a steepest-descent inverse-design optimization algorithm. The adjoint approach calculates shape derivatives at all points in space, but requires only two "forward" simulations. Geometrical shape parameterization is by the level set method. Our adjoint design optimization is applied to a Silicon photonics Y-junction splitter that had previously been investigated by stochastic methods. Owing to the speed of calculating shape derivatives within the adjoint method, convergence is much faster, within a larger design space. This is an extremely efficient method for the design of complex electromagnetic components.

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  • Topology optimization has been used to design photonic crystals, integrated photonics devices, and metamaterials with superior performance metrics than those based on conventional designs.

    “This technique has been used to design photonic crystals [15], integrated photonics devices [16,17], and metamaterials [18–24] with superior performance metrics than those based on conventional designs.”

    From Robust design of topology-optimized metasurfaces (2019) · cites this paper as [17]

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  1. [1]P. Sandborn, N. Quack, N. Hoghooghi, J. B. Chou, J. Ferrara, S. Gambini, B. Behroozpour, L. Zhu, B. Boser, C. Chang-Hasnain, and M. C. Wu, “Linear frequency chirp generation employing opto-electronic feedback loop and integrated Silicon photonics,” in CLEO, (2013) pp. 5–6.
  2. [2]A. Sakai, T. Fukazawa, and T. Baba, “Low loss ultra-small branches in a silicon photonic wire waveguide,” IEICE Trans. Electron. E85, 1033–1038 (2002).
  3. [3]Y. Zhang, S. Yang, A. E. J. Lim, G. Q. Lo, C. Galland, T. Baehr-Jones, and M. Hochberg, “A compact and low loss Y-junction for submicron silicon waveguide,” Opt. Express 21(1), 1310–1316 (2013). Crossref
  4. [4]P. Sanchis, P. Villalba, F. Cuesta, A. Håkansson, A. Griol, J. V. Galán, A. Brimont, and J. Martí, “Highly efficient crossing structure for silicon-on-insulator waveguides,” Opt. Lett. 34(18), 2760–2762 (2009). Crossref
  5. [5]Y. Zhang, S. Yang, E. J. Lim, G. Lo, T. Baehr-Jones, and M. Hochberg, “A CMOS-compatible, low-loss and low-crosstalk silicon waveguide crossing,” IEEE Photon. Technol. Lett. 25(5), 422–425 (2013). Crossref
  6. [6]T. Tanemura, K. C. Balram, D. S. Ly-Gagnon, P. Wahl, J. S. White, M. L. Brongersma, and D. A. B. Miller, “Multiple-wavelength focusing of surface plasmons with a nonperiodic nanoslit coupler,” Nano Lett. 11(7), 2693–2698 (2011). Crossref
  7. [8]M. P. Bendsoe and O. Sigmund, Topology Optimization Theory, Methods and Applications. (Springer, 2003)
  8. [9]T. Borrvall and J. Petersson, “Topology optimization of fluids in Stokes flow,” Int. J. Numer. Methods Fluids 41(1), 77–107 (2003). Crossref
  9. [10]J. S. Jensen and O. Sigmund, “Topology optimization for nano-photonics,” Las. Photon. Rev. 5(2), 308–321 (2011). Crossref
  10. [11]P. Seliger, M. Mahvash, C. Wang, and A. F. J. Levi, “Optimization of aperiodic dielectric structures,” J. Appl. Phys. 100(3), 034310 (2006). Crossref
  11. [12]W. R. Frei, D. A. Tortorelli, and H. T. Johnson, “Geometry projection method for optimizing photonic nanostructures,” Opt. Lett. 32(1), 77–79 (2007). Crossref
  12. [13]V. Liu and S. Fan, “Compact bends for multi-mode photonic crystal waveguides with high transmission and suppressed modal crosstalk,” Opt. Express 21(7), 8069–8075 (2013). Crossref
  13. [14]G. Veronis, R. W. Dutton, and S. Fan, “Method for sensitivity analysis of photonic crystal devices,” Opt. Lett. 29(19), 2288–2290 (2004). Crossref
  14. [15]A. F. J. Levi and I. G. Rosen, “A novel formulation of the adjoint method in the optimal design of quantum electronic devices,” SIAM J. Contr. Optim. 48(5), 3191–3223 (2010). Crossref
  15. [16]G. Strang, Computational Science and Engineering , (Wellesley-Cambridge, 2007).
  16. [17]O. D. Miller, PhD thesis (2012), University of California at Berkeley, http://optoelectronics.eecs.berkeley.edu/ThesisOwenMiller.pdf
  17. [18]S. G. Johnson, M. Ibanescu, M. A. Skorobogatiy, O. Weisberg, J. D. Joannopoulos, and Y. Fink, “Perturbation theory for Maxwell’s equations with shifting material boundaries,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 65(6), 066611 (2002). Crossref

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Authors
Lalau-Keraly, C. M., Bhargava, S., Miller, O. D., & Yablonovitch, E.
Affiliations
  • University of California, Berkeley (US)
  • Massachusetts Institute of Technology (US)
Venue
Optics Express
Published
2013-09-06
Volume
21
Issue
18
Pages
21693
ISSN
1094-4087 (ISSN-L)
OpenAlex
W2009741032
Cited by
753
References
0
Citations by year
2026: 88 · 2025: 99 · 2024: 109 · 2023: 112 · 2022: 91 · 2021: 68 · 2020: 68 · 2019: 52 · 2018: 25 · 2017: 12 · 2016: 9 · 2015: 13 · 2014: 7
FWCI
5.80
Type
journal article
Language
en
Open access
Locations
  • Optics Express (publishedVersion)
  • PubMed (publishedVersion)
Funders
  • Defense Advanced Research Projects Agency (DARPA) (HR0011-11-2-0021)
  • National Science Foundation (NSF) (0939514)
Topics
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Photonic and Optical Devices
  • Physical Sciences › Engineering › Civil and Structural Engineering › Topology Optimization in Engineering
  • Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
Keywords
electromagnetic design, inverse design, shape derivative, level set method, gradient descent, silicon photonics, Maxwell solver

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