Design of one-dimensional optical pulse-shaping filters by time-domain topology optimization

Yang, Lirong; Lavrinenko, Andrei V.; Hvam, Jørn Märcher; Sigmund, Ole

doi:10.1063/1.3278595

Cited by 27 publications

(24 citation statements)

References 18 publications

(16 reference statements)

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“…Adjoint-based sensitivities trace their roots to control theory [29][30][31][32], and have since been used for rapid, efficient optimization in circuit theory [33], aerodynamics [34], mechanics and elasticity [35], quantum dynamics [36,37], and deep learning [38][39][40], where it is known as "backpropagation." More recently it has emerged as a promising design tool for nanophotonics [18,19,41] for applications including waveguide demultiplexers [17,42,43], beam deflectors [44,45], photonic bandgaps [46], solar cells [47], and many others. Preliminary studies have applied inverse design to metasurfaces [13,20,45,48], including large-area metasurfaces [15,49], albeit thus far limited to isolated frequencies or metrics other than lens focusing (beam deflection, polarizers, etc.…”

Section: Introductionmentioning

confidence: 99%

High-NA achromatic metalenses by inverse design

Chung¹,

Miller²

2020

Opt. Express

207

151

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We use inverse design to discover metalens structures that exhibit broadband, achromatic focusing across low, moderate, and high numerical apertures. We show that standard unit-cell approaches cannot achieve high-efficiency high-NA focusing, even at a single frequency, due to the incompleteness of the unit-cell basis, and we provide computational upper bounds on their maximum efficiencies. At low NA, our devices exhibit the highest theoretical efficiencies to date. At high NA-of 0.9 with translation-invariant films and of 0.99 with "freeform" structures-our designs are the first to exhibit achromatic high-NA focusing. arXiv:1905.09213v1 [physics.optics]

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Section: Introductionmentioning

confidence: 99%

High-NA achromatic metalenses by inverse design

Chung¹,

Miller²

2020

Opt. Express

207

151

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“…A 1D example of conversion of a Gaussian pulse to a longer rectangular pulse is shown in Fig. 7 (taken from [71]). …”

Section: Filters and Pulse Modulationmentioning

confidence: 99%

“…Top: Input, target and optimized pulse shapes and bottom: 1D dielectric grating with dimensions resulting in above pulse response. From[71].…”

mentioning

confidence: 99%

Topology optimization for nano‐photonics

Jensen

Sigmund

2010

Laser & Photonics Reviews

605

478

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Topology optimization is a computational tool that can be used for the systematic design of photonic crystals, waveguides, resonators, filters and plasmonics. The method was originally developed for mechanical design problems but has within the last six years been applied to a range of photonics applications. Topology optimization may be based on finite element and finite difference type modeling methods in both frequency and time domain. The basic idea is that the material density of each element or grid point is a design variable, hence the geometry is parameterized in a pixel-like fashion. The optimization problem is efficiently solved using mathematical programming-based optimization methods and analytical gradient calculations. The paper reviews the basic procedures behind topology optimization, a large number of applications ranging from photonic crystal design to surface plasmonic devices, and lists some of the future challenges in non-linear applications.

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“…Hence, time-domain optimization facilitates the treatment of active media and nonlinearities that give rise to frequency modulation. Additionally, it can manage time-domain processing of optical signals, such as pulse shaping [31,32] and pulse delay [33], as well as optimization of PhC notch filters [34]. A comprehensive review on topology optimization of nanophotonic devices is provided in [35].…”

Section: Introductionmentioning

confidence: 99%

Systematic design of slow-light photonic waveguides

2011

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A pulse-delaying optimization scheme based on topology optimization for transient response of photonic crystal structures (PhCs) is formulated to obtain slow-light devices. The optimization process is started from a qualified W1 PhC waveguide design with group index n g ≈ 40 obtained from a simple Edisonian parameter search. Based on this, the proposed pulse delaying and subsequent pulse restoring strategies yield a design that increases the group index by 75% to n g ≈ 70 AE 10% for an operational full-width at half-maximum (FWHM) bandwidth B FWHM ¼ 6 nm, and simultaneously minimizes interface penalty losses between the access ridge and the W1 PhC waveguide. To retain periodicity and symmetry, the active design set is limited to the in-/outlet region and a distributed supercell, and manufacturability is further enhanced by density filtering techniques combined with material phase projections.

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Design of one-dimensional optical pulse-shaping filters by time-domain topology optimization

Abstract: Time-domain topology optimization is used here to design optical pulse-shaping filters in Si/SiO2 thin-film systems. A novel envelope objective function as well as explicit penalization are used to adapt the optimization method to this unique class of design problems.

Cited by 27 publications

References 18 publications

High-NA achromatic metalenses by inverse design

High-NA achromatic metalenses by inverse design

Topology optimization for nano‐photonics

Systematic design of slow-light photonic waveguides

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