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This paper presents a general description of a parameter estimation inverse problem for systems governed by nonlinear differential equations. The inverse problem is presented using optimal control tools with state constraints, where the…

Numerical Analysis · Mathematics 2018-06-28 Mohamed Kamel Riahi , Issam Al Qattan

Nanophotonics has been an active research field over the past two decades, triggered by the rising interests in exploring new physics and technologies with light at the nanoscale. As the demands of performance and integration level keep…

Optics · Physics 2019-01-28 Kan Yao , Rohit Unni , Yuebing Zheng

This article reviews recent progress in quasi-phasematched $\chi^{(2)}$ nonlinear nanophotonics, with a particular focus on dispersion-engineered nonlinear interactions. Throughout this article, we establish design rules for the bandwidth…

Optics · Physics 2021-06-08 Marc Jankowski , Jatadhari Mishra , M. M. Fejer

Composite materials often exhibit mechanical anisotropy owing to the material properties or geometrical configurations of the microstructure. This makes their inverse design a two-fold problem. First, we must learn the type and orientation…

Computational Engineering, Finance, and Science · Computer Science 2024-12-19 Asghar A. Jadoon , Karl A. Kalina , Manuel K. Rausch , Reese Jones , Jan N. Fuhg

Engineered micro- and nanomechanical resonators with ultra-low dissipation constitute the ideal systems for applications ranging from high-precision sensing such as magnetic resonance force microscopy, to quantum transduction between…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Dennis Høj , Fengwen Wang , Wenjun Gao , Ulrich Busk Hoff , Ole Sigmund , Ulrik Lund Andersen

The $\textit{invrs-gym}$ is a toolkit for research in nanophotonic inverse design, topology optimization, and AI-guided design. It includes a diverse set of challenges--representing a wide range of photonic design problems--with a common…

Optics · Physics 2024-11-01 Martin F. Schubert

Scalable photonic optimization holds the promise of significantly enhancing the performance of diffractive lenses across a wide range of photonic applications. However, the high computational cost of conventional full three-dimensional…

Optics · Physics 2025-09-26 Marco Gerhardt , Sungkun Hong , Moosung Lee

Designing heterogeneous, self-assembling systems is a central challenge in soft matter and biology. We present a framework that uses gradient-based optimization to invert an analytical yield calculation, tuning systems toward target…

Soft Condensed Matter · Physics 2025-10-21 Livia A. J. Guttieres , Ryan K. Krueger , Remi Drolet , Michael P. Brenner

Inverse design in photonics has gathered increasing attention as a powerful approach that goes beyond the intuition-based designs. In this Letter, we present the inverse design and experimental demonstration of compact optical cloaks at…

Applied Physics · Physics 2020-09-08 Mediha Tutgun , Emre Bor , Mirbek Turduev , Hamza Kurt

Deep Learning has been a critical part of designing inverse design methods that are computationally efficient and accurate. An example of this is the design of photonic metasurfaces by using their photoluminescent spectrum as the input data…

Optics · Physics 2024-05-08 Yuansan Liu , Jeygopi Panisilvam , Peter Dower , Sejeong Kim , James Bailey

We present a practical methodology for inverse design of compact high-order/multiresonance filters in linear passive 2-port wave-scattering systems, targeting any desired transmission spectrum (such as standard pass/stop-band filters). Our…

Applied Physics · Physics 2026-02-11 Mo Chen , Steven G. Johnson , Aristeidis Karalis

There is growing interest in engineering unconventional computing devices that leverage the intrinsic dynamics of physical substrates to perform fast and energy-efficient computations. Granular metamaterials are one such substrate that has…

Machine Learning · Computer Science 2024-04-09 Atoosa Parsa , Corey S. O'Hern , Rebecca Kramer-Bottiglio , Josh Bongard

Inverse design problems are common in engineering and materials science. The forward direction, i.e., computing output quantities from design parameters, typically requires running a numerical simulation, such as a FEM, as an intermediate…

Machine Learning · Computer Science 2026-02-18 Jens U. Kreber , Christian Weißenfels , Joerg Stueckler

A deep learning-based wavelength controllable forward prediction and inverse design model of nanophotonic devices is proposed. Both the target time-domain and wavelength-domain information can be utilized simultaneously, which enables…

Optics · Physics 2020-11-09 Yuchen Song , Danshi Wang , Han Ye , Jun Qin , Min Zhang

Recent advances in photonic inverse design have demonstrated the ability to automatically synthesize compact, high-performance photonic components that surpass conventional, hand-designed structures, offering a promising path toward…

Optics · Physics 2026-02-18 Hongjian Zhou , Haoyu Yang , Nicholas Gangi , Tianle Xu , Rena Huang , Jiaqi Gu

The development of new materials typically involves a process of trial and error, guided by insights from past experimental and theoretical findings. The inverse design approach for soft-matter systems has the potential to optimize specific…

Efficient coupling between on-chip sources and cavities plays a key role in silicon photonics. However, despite the importance of this basic functionality, there are few systematic design tools to simultaneously control coupling between…

In this paper, we propose a pre-trained-combined neural network (PTCN) as a comprehensive solution to the inverse design of an integrated photonic circuit. By utilizing both the initially pre-trained inverse and forward model with a joint…

Optics · Physics 2022-07-20 Mengwei Yuan , Gang Yang , Shijie Song , Luping Zhou , Robert Minasian , Xiaoke Yi

We apply a systematic inverse design approach to discover foundry-compliant, multilayer grating couplers that can efficiently couple a number of independent waves from free space to on-chip propagating modes. For visible- and near-infrared…

Optics · Physics 2026-05-01 Hao Li , Nazar Pyvovar , Zhaowei Dai , Owen D. Miller

Many optimization problems in electrical engineering consider a large number of design parameters. A sensitivity analysis identifies the design parameters with the strongest influence on the problem of interest. This paper introduces the…

Computational Engineering, Finance, and Science · Computer Science 2023-07-07 M. Greta Ruppert , Yvonne Späck-Leigsnering , Julian Buschbaum , Herbert De Gersem