Benchmarking Five Global Optimization Approaches for Nano-optical Shape Optimization and Parameter Reconstruction

Schneider, Philipp‐Immanuel; Santiago, Xavier García; Soltwisch, Victor; Hammerschmidt, Martin; Burger, Sven; Rockstuhl, Carsten

doi:10.1021/acsphotonics.9b00706

Cited by 92 publications

(75 citation statements)

References 46 publications

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“…[ 35 ] The system parameters with optimal fiber‐coupling efficiency were determined using Bayesian optimization as global optimization method. [ 36 ]…”

Section: Resultsmentioning

confidence: 99%

Plug&Play Fiber‐Coupled 73 kHz Single‐Photon Source Operating in the Telecom O‐Band

et al. 2020

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A user‐friendly, fiber‐coupled, single‐photon source operating at telecom wavelengths is a key component of photonic quantum networks providing long‐haul, ultra‐secure data exchange. To take full advantage of quantum‐mechanical data protection and to maximize the transmission rate and distance, a true quantum source providing single photons on demand is highly desirable. This great challenge is tackled by developing a ready‐to‐use semiconductor quantum‐dot‐based device that launches single photons at a wavelength of 1.3 µm directly into a single‐mode optical fiber. In the proposed approach, the quantum dot is deterministically integrated into a nanophotonic structure to ensure efficient on‐chip coupling into a fiber. The whole arrangement is integrated into a 19ʺ compatible housing to enable stand‐alone operation by cooling via a compact Stirling cryocooler. The realized source delivers single photons with a multiphoton events probability as low as 0.15 and a single‐photon emission rate of up to 73 kHz into a standard telecom single‐mode fiber.

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“…[ 35 ] The system parameters with optimal fiber‐coupling efficiency were determined using Bayesian optimization as global optimization method. [ 36 ]…”

Section: Resultsmentioning

confidence: 99%

Plug&Play Fiber‐Coupled 73 kHz Single‐Photon Source Operating in the Telecom O‐Band

et al. 2020

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“…If it makes little sense to optimize a part of the structure almost independently of the rest, the advantage of DE will not play out. Recent results 41 show that for some problems in photonics with a low number of dimensions, DE is in fact among the worst possible choices. We insist that DE is more relevant for modular design problems, which implies a relatively large number of parameters (more than 5 typically).…”

Section: Discussionmentioning

confidence: 99%

Evolutionary algorithms converge towards evolved biological photonic structures

Barry

Berthier

Wilts

et al. 2020

Sci Rep

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nature features a plethora of extraordinary photonic architectures that have been optimized through natural evolution in order to more efficiently reflect, absorb or scatter light. While numerical optimization is increasingly and successfully used in photonics, it has yet to replicate any of these complex naturally occurring structures. Using evolutionary algorithms inspired by natural evolution and performing particular optimizations (maximize reflection for a given wavelength, for a broad range of wavelength or maximize the scattering of light), we have retrieved the most stereotypical natural photonic structures. Whether those structures are Bragg mirrors, chirped dielectric mirrors or the gratings on top of Morpho butterfly wings, our results indicate how such regular structures might have spontaneously emerged in nature and to which precise optical or fabrication constraints they respond. Comparing algorithms show that recombination between individuals, inspired by sexual reproduction, confers a clear advantage that can be linked to the fact that photonic structures are fundamentally modular: each part of the structure has a role which can be understood almost independently from the rest. Such an in silico evolution also suggests original and elegant solutions to practical problems, as illustrated by the design of counter-intuitive anti-reflective coatings for solar cells. Nature features a diversity of photonic architectures producing the most vivid optical effects 1-3. Regularly alternating chitin and melanin layers constitutes, for instance, a very efficient way to reflect light, giving the structure a colored metallic appearance. Such structures can be found on the cuticle of many insects, including common flies (e.g. Lucilia sericata) or beetles (e.g. Chrysolina americana or Asphidomorpha tecta). These ubiquitous structures have been optimized through natural evolution during millions of years, which suggests that they provide an evolutionary advantage to all the animals. While such dielectric, multilayered mirrors 4 are relatively simple, more complicated architectures can be found in many animals. Most famous are probably the nanosized christmas-tree-like ridge structure of Morpho butterfly wing scales 5,6. These nano-sized christmas-trees, assembled of transparent chitin, are responsible for the bright iridescent blue color of the Morpho rethenor wings which has made the butterfly so famous. Numerical optimization has been extensively used in photonics for the last decades, especially in the context of optical filters 7,8 for their technological importance-the multiplexers used to increase the bandwidth of optical fibers rely on such multilayered structures. By 'simply' choosing the thicknesses of transparent layers with alternating refractive index (RI), it is possible to design and manufacture virtually any kind of optical filter 9. Efficient algorithms have been developed to solve precisely this kind of inverse problem: finding the right geometrical (thicknesses) and optical (RI) parameters of the...

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“…In general, parametrizations should have large degrees of freedom in order to not unnecessarily restrict the design space. Note that for low-dimensional parametrizations, Bayesian optimization and even brute force parameter sweeps may be a better choice than inverse design [22].…”

Section: A1 Parametrization Selection Matrix and Permittivity Distmentioning

confidence: 99%

Nanophotonic inverse design with SPINS: Software architecture and practical considerations

Vercruysse

Skarda

et al. 2020

Applied Physics Reviews

128

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A computational nanophotonic design library for gradient-based optimization called SPINS is presented. Borrowing the concept of computational graphs, SPINS is a design framework that emphasizes flexibility and reproducible results. The mathematical and architectural details to achieve these goals are presented, and practical considerations and heuristics for using inverse design are discussed, including the choice of initial condition and the landscape of local minima. arXiv:1910.04829v2 [physics.app-ph] 31 Oct 2019 design. These include the design of objective functions and the choice of initial condition based on an analysis of the local minima reached by the optimization process.The paper outline is as follows. Section 2 provides a mathematical overview of inverse design, and Section 3 provides an overview of the framework and how the inverse design formulation is implemented. Section 4 presents an example of designing wavelength demultiplexers and discusses salient points in the overall design process. Finally, Section 5 discusses practical considerations and analyzes key properties of gradient-based nanophotonic optimization.

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Benchmarking Five Global Optimization Approaches for Nano-optical Shape Optimization and Parameter Reconstruction

Cited by 92 publications

References 46 publications

Plug&Play Fiber‐Coupled 73 kHz Single‐Photon Source Operating in the Telecom O‐Band

Plug&Play Fiber‐Coupled 73 kHz Single‐Photon Source Operating in the Telecom O‐Band

Evolutionary algorithms converge towards evolved biological photonic structures

Nanophotonic inverse design with SPINS: Software architecture and practical considerations

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