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The development of inverse design, where computational optimization techniques are used to design devices based on certain specifications, has led to the discovery of many compact, non-intuitive structures with superior performance. Among…

Optics · Physics 2019-02-25 Tyler W. Hughes , Momchil Minkov , Ian A. D. Williamson , Shanhui Fan

Gradient-based inverse design in photonics has already achieved remarkable results in designing small-footprint, high-performance optical devices. The adjoint variable method, which allows for the efficient computation of gradients, has…

Optimizing shapes and topology of physical devices is crucial for both scientific and technological advancements, given its wide-ranging implications across numerous industries and research areas. Innovations in shape and topology…

Computational Physics · Physics 2023-10-02 Alexander Luce , Rasoul Alaee , Fabian Knorr , Florian Marquardt

Disordered metamaterials are promising for programming physical properties across diverse applications, yet their inverse design remains challenging due to the non-intuitive structure-property relationships and large design spaces. Recent…

Computational Engineering, Finance, and Science · Computer Science 2026-03-18 Ziyuan Xie , Weipeng Xu , Dazhi Zhao , Wenchang Zhang , Daoyang Dong , Bingbing Xu , Ning Liu , Sheng Mao , Tianju Xue

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 fundamental challenge in the design of photonic devices, and electromagnetic structures more generally, is the optimization of their overall architecture to achieve a desired response. To this end, topology or shape optimizers based on…

As an increasingly powerful technique in integrated photonics, inverse design uses optimization algorithms to automatically create compact, high-performance photonic structures, often yielding non-intuitive layouts far more compact than…

Optics · Physics 2026-03-03 Junho Park , Taehan Kim , Mohammad Ali , Di Liang

Inverse design of optical components based on adjoint sensitivity analysis has the potential to address the most challenging photonic engineering problems. However existing inverse design tools based on finite-difference-time-domain (FDTD)…

Optics · Physics 2024-05-20 Dodd Gray , Gavin N. West , Rajeev J. Ram

We introduce an adjoint-based aerodynamic shape optimization framework that integrates a diffusion model trained on existing designs to learn a smooth manifold of aerodynamically viable shapes. This manifold is enforced as an equality…

Computational Engineering, Finance, and Science · Computer Science 2025-08-01 Long Chen , Emre Oezkaya , Jan Rottmayer , Nicolas R. Gauger , Zebang Shen , Yinyu Ye

We introduce MxDiffusion, a hybrid physics- and data-driven diffusion-based framework that enables efficient and highly accurate generation of photonic structures from target optical properties. The improved accuracy is achieved through a…

Optics · Physics 2026-02-20 Sujoy Mondal , Taehyuk Park , Sudipta Biswas , Alan X. Wang , Wenshan Cai

Ultrathin meta-optics offer unmatched, multifunctional control of light. Next-generation optical technologies, however, demand unprecedented performance. This will likely require design algorithms surpassing the capability of human…

Optics · Physics 2021-04-06 Shane Colburn , Arka Majumdar

3D additive manufacturing enables the fabrication of nanophotonic structures with subwavelength features that control light across macroscopic scales. Gradient-based optimization offers an efficient approach to design these complex and…

We present a digitized adjoint method for realizing efficient inverse design of "digital" subwavelength nanophotonic devices. We design a single-mode 3-dB power divider and a dual-mode demultiplexer to demonstrate the digitized adjoint…

Optics · Physics 2019-02-05 Xinshu Ren , Weijie Chang , Longhui Lu , Max Yan , Deming Liu , Minming Zhang

Computer-automated design and discovery have led to high-performance nanophotonic devices with diverse functionalities. However, massively multi-channel systems such as metasurfaces controlling many incident angles and photonic-circuit…

Applied Physics · Physics 2024-06-05 Shiyu Li , Ho-Chun Lin , Chia Wei Hsu

Metasurfaces are an emerging technology that may supplant many of the conventional optics found in imaging devices, displays, and precision scientific instruments. Here, we develop a method for designing optical systems composed of multiple…

Optics · Physics 2019-10-23 Adam S. Backer

Subwavelength photonic structures and metamaterials provide revolutionary approaches for controlling light. The inverse design methods proposed for these subwavelength structures are vital to the development of new photonic devices.…

Inverse design of metasurfaces for specific electromagnetic responses requires generating geometries that satisfy stringent spectral constraints while maintaining manufacturability. Conventional design methodologies rely on iterative…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Vineetha Joy , Jamshed Palai , Satwik Sahoo , Anshuman Kumar , Amit Sethi , Hema Singh

Recent advancements in diffusion models have been effective in learning data priors for solving inverse problems. They leverage diffusion sampling steps for inducing a data prior while using a measurement guidance gradient at each step to…

Machine Learning · Computer Science 2025-04-02 Rayhan Zirvi , Bahareh Tolooshams , Anima Anandkumar

The sharp increasing in fabrication capabilities of nanomaterials, and complex structures such as meta-surfaces and metalens, has opened to the possibility of employing them for accurately control the electromagnetic field, beyond the…

Numerical Analysis · Mathematics 2026-03-17 Vincenzo Mottola , Luisa Faella , Carlo Forestiere , Antonello Tamburrino

Finding new superconductors with a high critical temperature ($T_c$) has been a challenging task due to computational and experimental costs. We present a diffusion model inspired by the computer vision community to generate new…

Superconductivity · Physics 2023-07-28 Daniel Wines , Tian Xie , Kamal Choudhary
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