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Inverse design and topology optimization of novel photonic crystal broadband passive devices for photonic integrated circuits

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Abstract

We report on the application of various optimization methods as a very promising simulation approach for the design of true integrated optical devices by means of inverse design. We show that these techniques provide a global optimum toward one or various functional objectives at a reasonable computational cost. The results obtained by these methods are far better than intuitive design procedures and clearly outperform trial-and-error based models. We illustrate their performance by using a series of inverse-designed practical photonic devices.

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References

  1. H. Szu, R. Hartley, Fast simulated annealing. Phys. Lett. A 122, 157–162 (1987)

    Article  ADS  Google Scholar 

  2. M. Mahdavi, M. Fesanghary, E. Damangir, An improved harmony search algorithm for solving optimization problems. Appl. Math. Comput. 188, 1567–1579 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  3. K. Deb, A. Pratap, S. Agarwal, T. Meyarivan, A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6, 182–197 (2002)

    Article  Google Scholar 

  4. N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller, Equation of state calculations by fast computing machines. J. Chem. Phys. 21, 1087–1092 (1953)

    Article  ADS  Google Scholar 

  5. Z.W. Geem, J.H. Kim, G.V. Loganathan, A new heuristic optimization algorithm: harmony search. Simulation 76, 60–68 (2009)

    Article  Google Scholar 

  6. R. Forsati, A.T. Haghighat, M. Mahdavi, Harmony search based algorithms for bandwidth-delay-constrained least-cost multicast routing. Comput. Commun. 31, 2505–2519 (2008)

    Article  Google Scholar 

  7. Z.W. Geem, Harmony search in water pump switching problem. Adv. Nat. Comput. 3612, 751–760 (2005)

    Article  Google Scholar 

  8. R. Zhang, L. Hanzo, Iterative multiuser detection and channel decoding for DS–CDMA using harmony search. IEEE Signal Process. Lett. 16, 917–920 (2009)

    Article  ADS  Google Scholar 

  9. I. Landa-Torres, S. Gil-Lopez, S. Salcedo-Sanz, J. Del Ser, J.A. Portilla-Figueras, A novel grouping harmony search algorithm for the multiple-type access node location problem. Expert Syst. Appl. 39, 5262–5270 (2012)

    Article  Google Scholar 

  10. I. Andonegui, A.J. Garcia-Adeva, The finite element method applied to the study of two-dimensional photonic crystals and resonant cavities. Opt. Express 20, 4072–4092 (2013)

    Article  ADS  Google Scholar 

  11. V. Pareto, The new theories of economics. J. Polit. Econ. 5, 485–502 (1897)

    Article  Google Scholar 

  12. I. Andonegui, A.J. Garcia-Adeva, Unpublished

  13. A. Mekis, J.C. Chen, I. Kurland, S. Fan, P.R. Villeneuve, J.D. Joannopoulos, High transmission through sharp bends in photonic crystal waveguides. Phys. Rev. Lett. 77, 3787–3790 (1996)

    Article  ADS  Google Scholar 

  14. A. Chutinan, S. Noda, Waveguides and waveguide bends in two-dimensional photonic crystal slabs. Phys. Rev. B 62, 4488–4492 (2000)

    Article  ADS  Google Scholar 

  15. A. Mekis, S. Fan, J.D. Joannopoulos, Bound states in photonic crystal waveguides and waveguide bends. Phys. Rev. B 58, 4809–4817 (1998)

    Article  ADS  Google Scholar 

  16. A. Chutinan, M. Okano, S. Noda, Wider bandwidth with high transmission through waveguide bends in two-dimensional photonic crystal slabs. Appl. Phys. Lett. 80, 1698–1700 (2002)

    Article  ADS  Google Scholar 

  17. S. Boscolo, M. Midrio, T.F. Krauss, Y-junction in photonic crystal channel waveguides: high transmission and impedance matching. Opt. Lett. 27, 1001–1003 (2002)

    Article  ADS  Google Scholar 

  18. S. Fan, S.G. Johnson, J.D. Joannopoulos, C. Manolatou, H.A. Haus, Waveguide branches in photonic crystals. J. Opt. Soc. Am. B 18, 162–165 (2001)

    Article  ADS  Google Scholar 

  19. R. Coccioli, M. Boroditsky, K.W. Kim, Y. Rahmat-Samii, E. Yablonovitch, Smallest possible electromagnetic mode volume in a dielectric cavity. IEEE Proc. Optoelectron. 145, 391–397 (1998)

    Article  Google Scholar 

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Acknowledgements

We would like to thank the Basque Government for financial support under the SAIOTEK 2012 (ref. S-PE12UN043) programme. One of us, I.A., wants to thank the Vicerrectorado de Euskara y Plurilinguismo de la UPV/EHU for financial support under the Ph.D. Fellowships 2011 programme.

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Correspondence to Imanol Andonegui.

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Andonegui, I., Calvo, I. & Garcia-Adeva, A.J. Inverse design and topology optimization of novel photonic crystal broadband passive devices for photonic integrated circuits. Appl. Phys. A 115, 433–438 (2014). https://doi.org/10.1007/s00339-013-8032-5

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  • DOI: https://doi.org/10.1007/s00339-013-8032-5

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