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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

The calculation of transport profiles from experimental measurements belongs in the category of inverse problems which are known to come with issues of ill-conditioning or singularity. A reformulation of the calculation, the matricial…

Plasma Physics · Physics 2012-06-07 D. F. Escande , F. Sattin

This paper provides a theoretical foundation for some common formulations of inverse problems in wave propagation, based on hyperbolic systems of linear integro-differential equations with bounded and measurable coefficients. The…

Mathematical Physics · Physics 2015-06-12 Kirk D. Blazek , Christiaan C. Stolk , William W. Symes

Eight models for the coherence of the quasi-monochromatic light from spherical incoherent sources are constructed by placing incoherent monopole and dipole sources on the surface of a sphere, inside a ball and on a plane circular disk. All…

Optics · Physics 2019-11-22 Mikhail Charnotskii

This paper develops an efficient numerical method for the inverse scattering problem of a time-harmonic plane wave incident on a perfectly reflecting random periodic structure. The method is based on a novel combination of the Monte Carlo…

Numerical Analysis · Mathematics 2020-08-13 Gang Bao , Yiwen Lin , Xiang Xu

The light scattering of multilayer nanoparticles can be solved by Maxwell equations. However, it is difficult to solve the inverse design of multilayer nanoparticles by using the traditional trial-and-error method. Here, we present a method…

Signal Processing · Electrical Eng. & Systems 2020-03-19 Cankun Qiu , Zhi Luo , Xia Wu , Huidong Yang , Bo Huang

The inverse radiative transfer problem finds broad applications in medical imaging, atmospheric science, astronomy, and many other areas. This problem intends to recover the optical properties, denoted as absorption and scattering…

Numerical Analysis · Mathematics 2017-08-08 Qin Li , Ruiwen Shu , Li Wang

In computational design and fabrication, neural networks are becoming important surrogates for bulky forward simulations. A long-standing, intertwined question is that of inverse design: how to compute a design that satisfies a desired…

Graphics · Computer Science 2022-08-30 Navid Ansari , Hans-Peter Seidel , Vahid Babaei

Highly directional radiation from photonic structures is important for many applications, including high power photonic crystal surface emitting lasers, grating couplers, and light detection and ranging devices. However, previous…

Inverse design in nanophotonics, the computational discovery of structures achieving targeted electromagnetic (EM) responses, has become a key tool for recent optical advances. Traditional intuition-driven or iterative optimization methods…

Applied Physics · Physics 2025-10-15 Reza Marzban , Ali Adibi , Raphael Pestourie

This study formulates a volumetric inverse-design methodology to generate a pair of complementary focusing metalenses for terahertz imaging: the two lenses exhibit equal and opposite shifts in focal length with frequency. An asymmetry…

Optics · Physics 2025-02-18 Mo Chen , Ka Fai Chan , Alec M. Hammond , Chi Hou Chan , Steven G. Johnson

We consider optimal design of infinite-dimensional Bayesian linear inverse problems governed by partial differential equations that contain secondary reducible model uncertainties, in addition to the uncertainty in the inversion parameters.…

Optimization and Control · Mathematics 2020-06-23 Alen Alexanderian , Noemi Petra , Georg Stadler , Isaac Sunseri

We outline the key-steps toward the construction of a physical, fully relativistic cosmology. The influence of inhomogeneities on the effective evolution history of the Universe is encoded in backreaction terms and expressed through…

General Relativity and Quantum Cosmology · Physics 2012-07-06 Thomas Buchert

Precise spatial manipulation of particles via optical forces is essential in many research areas, ranging from biophysics to atomic physics. Central to this effort is the challenge of designing optical systems that are optimized for…

Light-matter interactions inside turbid medium can be controlled by tailoring the spatial distribution of energy density throughout the system. Wavefront shaping allows selective coupling of incident light to different transmission…

Optics · Physics 2017-09-06 M. Koirala , R. Sarma , H. Cao , A. Yamilov

Inhomogeneous metasurfaces have shown possibilities for unprecedented control of wave propagation and scattering. While it is conventional to shine a single incident plane wave from one side of these metastructures, illuminating by several…

Applied Physics · Physics 2021-08-04 F. S. Cuesta , G. A. Ptitcyn , M. S. Mirmoosa , S. A. Tretyakov

Many key functionalities of optical frequency combs such as self-referencing and broad spectral access rely on coherent supercontinuum generation (SCG). While nanophotonic waveguides have emerged as a compact and power-efficient platform…

Optics · Physics 2023-12-19 Chia-Yi Lee , Yanwu Liu , Yinke Cheng , Cheng-Hao Lao , Qihuang Gong , Qi-Fan Yang

We propose a general design strategy based on genetic optimization to realize asymmetric reflectivity in periodic and non-periodic planar structures containing dielectric and gain-loss layers. By means of an optimization algorithm, it is…

Optics · Physics 2020-08-28 W. W. Ahmed , R. Herrero , M. Botey , Y. Wu , K. Staliunas

We provide a compact 200 line MATLAB code demonstrating how topology optimization (TopOpt) as an inverse design tool may be used in photonics, targeting the design of two-dimensional dielectric metalenses and a metallic reflector as…

Mathematical Software · Computer Science 2021-02-24 Rasmus E. Christiansen , Ole Sigmund

The advent of two-dimensional metamaterials in recent years has ushered in a revolutionary means to manipulate the behavior of light on the nanoscale. The effective parameters of these architected materials render unprecedented control over…

Optics · Physics 2018-11-14 Zhaocheng Liu , Dayu Zhu , Sean P. Rodrigues , Kyu-Tae Lee , Wenshan Cai