Multiobjective optimization in integrated photonics design.

We propose the use of the parallel tabu search algorithm (PTS) to solve combinatorial inverse design problems in integrated photonics. To assess the potential of this algorithm, we consider the problem of beam shaping using a two-dimensional arrangement of dielectric scatterers. The performance of PTS is compared to one of the most widely used optimization algorithms in photonics design, the genetic algorithm (GA). We find that PTS can produce comparable or better solutions than the GA, while requiring less computation time and fewer adjustable parameters. For the coherent beam shaping problem as a case study, we demonstrate how PTS can tackle multiobjective optimization problems and represent a robust and efficient alternative to GA.

[1]  Richard M. De La Rue,et al.  Power and polarization beam-splitters, mirrors, and integrated interferometers based on air-hole photonic crystals and lateral large index-contrast waveguides. , 2006, Optics express.

[2]  Toshihiko Baba,et al.  Slow light in photonic crystals , 2008 .

[3]  Servando Lopez-Aguayo,et al.  Engineering of nondiffracting beams with genetic algorithms. , 2012, Optics letters.

[4]  A. Håkansson,et al.  Integrated optical devices design by genetic algorithm , 2003, cond-mat/0310142.

[5]  Ana Vukovic,et al.  Strategies for global optimization in photonics design. , 2010, Journal of the Optical Society of America. A, Optics, image science, and vision.

[6]  Eric Michielssen,et al.  Genetic algorithm optimization applied to electromagnetics: a review , 1997 .

[7]  Fred W. Glover,et al.  Genetic algorithms and tabu search: Hybrids for optimization , 1995, Comput. Oper. Res..

[8]  Yang Tang,et al.  Multiobjective synchronization of coupled systems. , 2011, Chaos.

[9]  S. Noda,et al.  Waveguides and waveguide bends in two-dimensional photonic crystal slabs , 2000 .

[10]  Theoretical analysis of feedback mechanisms of two-dimensional finite-sized photonic-crystal lasers , 2005 .

[11]  El-Ghazali Talbi,et al.  Metaheuristics - From Design to Implementation , 2009 .

[12]  L. Dal Negro,et al.  Deterministic aperiodic nanostructures for photonics and plasmonics applications , 2012 .

[13]  Louis J Dubé,et al.  Beam shaping using genetically optimized two-dimensional photonic crystals. , 2012, Journal of the Optical Society of America. A, Optics, image science, and vision.

[14]  D. Débarre,et al.  Third-harmonic generation microscopy with Bessel beams: a numerical study. , 2012, Optics express.

[15]  Ajay Nahata,et al.  Optics of photonic quasicrystals , 2013, Nature Photonics.

[16]  Minsun Kim,et al.  Investigation of effective decision criteria for multiobjective optimization in IMRT. , 2011, Medical physics.

[17]  Jose Marques-Hueso,et al.  Properties of silicon integrated photonic lenses: bandwidth, chromatic aberration, and polarization dependence , 2013 .

[18]  Steven Boxwell,et al.  Design and optimization of optical components using genetic algorithms , 2004 .

[20]  Fred M. Dickey,et al.  Laser beam shaping applications , 2005 .

[21]  P. Dumon,et al.  Ultralow-loss 3-dB photonic crystal waveguide splitter. , 2004, Optics letters.

[22]  Reza Sedaghat,et al.  Multi-objective efficient design space exploration and architectural synthesis of an application specific processor (ASP) , 2011, Microprocess. Microsystems.

[23]  Michel Gendreau,et al.  Toward a Taxonomy of Parallel Tabu Search Heuristics , 1997, INFORMS J. Comput..