Adjoint-based optimization of active nanophotonic devices

Wang, Jiahui; Shi, Yu; Hughes, Tyler W.; Zhao, Zhexin; Fan, Shanhui

doi:10.1364/oe.26.003236

Cited by 54 publications

(31 citation statements)

References 34 publications

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“…The use of parametric optimization based on the rigorous analysis is often computationally heavy because the gratings with many parameters are leading to high-dimensional optimization problems. With an adjoint variable method, [11][12][13][14] one can calculate the gradient using only two simulations, no matter how many variables are present. This capability allows for efficient, large-scale, gradientbased optimization of optical structures in the non-paraxial domain.…”

Section: Introductionmentioning

confidence: 99%

Adjoint method and inverse design for diffractive beam splitters

Kim

Hermerschmidt

Dyachenko

et al. 2020

Components and Packaging for Laser Systems VI

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Diffractive optical elements with a large diffraction angle require feature sizes down to sub-wavelength dimensions, which require a rigorous electromagnetic computational model for calculation. However, the computational optimization of these diffractive elements is often limited by the large number of design parameters, making parametric optimization practically impossible due to large computation times. The adjoint method allows calculating the gradient of the target function with respect to all design variables with only two electromagnetic simulations, thus enabling gradient optimization. Here, we present the adjoint method for modeling wide-angle diffractive optical elements like 7x7 beam splitters with a maximum 53 • diffraction angle and a non-square 5x7 array generating beam splitter. After optimization we obtained beam splitter designs with a uniformity error of 16.35% (7x7) and 6.98% (5x7), respectively. After reviewing the experimental results obtained from fabricated elements based on our designs, we found that the adjoint optimization method is an excellent and fast method to design wide-angle diffractive fan-out beam-splitters.

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Section: Introductionmentioning

confidence: 99%

Adjoint method and inverse design for diffractive beam splitters

Kim

Hermerschmidt

Dyachenko

et al. 2020

Components and Packaging for Laser Systems VI

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“…Owing to its ability to scale independently of the number of degrees-of-freedom, adjoint-based optimization has emerged as an alternative photonic element design method [25][26][27][28][29] . Recently, we introduced a fullyautomated method for optimization of grating couplers utilizing this adjoint approach 30 .…”

Section: Introductionmentioning

confidence: 99%

Inverse Design and Demonstration of Broadband Grating Couplers

Sapra

Vercruysse

et al. 2019

IEEE J. Select. Topics Quantum Electron.

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We present a gradient-based optimization strategy to design broadband grating couplers. Using this method, we are able to reach, and often surpass, a user-specified target bandwidth during optimization. The designs produced for 220 nm silicon-on-insulator are capable of achieving 3 dB bandwidths exceeding 100 nm while maintaining central coupling efficiencies ranging from -3.0 dB to -5.4 dB, depending on partial-etch fraction. We fabricate a subset of these structures and experimentally demonstrate gratings with 3 dB bandwidths exceeding 120 nm. This inverse design approach provides a flexible design paradigm, allowing for the creation of broadband grating couplers without requiring constraints on grating geometry.

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“…The adjoint variable method has been well established for inverse design for passive and linear devices in nanophotonics (Piggott et al, 2015;Liu et al, 2011;Lalau-Keraly et al, 2013;Veronis et al, 2004;Georgieva et al, 2002;Lu and Vučković, 2012), and has been recently generalized to active and nonlinear systems (Wang et al, 2018;. In particular, the technique has the computational advantage of requiring exactly two full-field simulations in order to determine the gradient of an objective with respect to an arbitrarily large number of design parameters in the domain.…”

Section: Introductionmentioning

confidence: 99%

Accelerating adjoint variable method based photonic optimization with Schur complement domain decomposition

2019

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Adjoint variable method in combination with gradient descent optimization has been widely used for the inverse design of nanophotonic devices. In many of such optimizations, the design region is only a small fraction of the total computational domain. Here we show that the adjoint variable method can be combined with the Schur complement domain decomposition method. With this combination, in each optimization step, the simulation only involves the degrees of freedom that are inside the design region. Our approach should significantly improve the computational efficiency of adjoint variable method based optimization of photonic structures.

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Adjoint-based optimization of active nanophotonic devices

Cited by 54 publications

References 34 publications

Adjoint method and inverse design for diffractive beam splitters

Adjoint method and inverse design for diffractive beam splitters

Inverse Design and Demonstration of Broadband Grating Couplers

Accelerating adjoint variable method based photonic optimization with Schur complement domain decomposition

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