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We provide a supersymmetric analysis of the Maxwell fisheye (MF) wave problem at zero energy. Working in the so-called $R_{0}=0$ sector, we obtain the corresponding superpartner (fermionic) MF effective potential within Witten's…

Quantum Physics · Physics 2015-06-26 H. C. Rosu , M. Reyes , K. B. Wolf , O. Obregón

Negative Refractive Lens (NRL) has shown that an optical system can produce images with details below the classic Abbe diffraction limit. This optical system transmits the electric field, emitted by the object surface, towards the image…

Optics · Physics 2012-04-13 Juan C. Gonzalez , Pablo Benitez , Juan C. Minano , Dejan Grabovickic

Maxwell's fish eye has been known to be a perfect lens within the validity range of ray optics since 1854. Solving Maxwell's equations we show that the fish-eye lens in three dimensions has unlimited resolution for electromagnetic waves.

Optics · Physics 2015-05-14 Ulf Leonhardt , Thomas G. Philbin

This paper provides a theoretical analysis of diffraction-limited superresolution, demonstrating that arbitrarily close point sources can be resolved in ideal situations. Precisely, we assume that the incoming signal is a linear combination…

Optimization and Control · Mathematics 2015-08-14 Geoffrey Schiebinger , Elina Robeva , Benjamin Recht

Ultrasonic superresolution images can be generated by means of (super) focusing acoustic beams to subwavelength dimensions or using algorithm-based methods. Here, we demonstrate that ultrasonic pulses which are superfocused by a ball-shaped…

Applied Physics · Physics 2020-01-14 Victor H. S. Santos , Everton B. Lima , Andre L. Baggio , Jose H. Lopes , Glauber T. Silva

The Helmholtz equation is fundamental to wave modeling in acoustics, electromagnetics, and seismic imaging, yet high-frequency regimes remain challenging due to the ``pollution effect''. We propose FD-MGDL, an adaptive framework integrating…

Numerical Analysis · Mathematics 2026-02-25 Peiyao Zhao , Rui Wang , Tingting Wu , Yuesheng Xu

Exact time-dependent solutions of Maxwell's equations in Maxwell's fish eye show that perfect imaging is not an artifact of a drain at the image, although a drain is required for subwavelength resolution.

Optics · Physics 2015-05-19 Ulf Leonhardt , Thomas G. Philbin

Large-scale metasurfaces promise nanophotonic performance improvements to macroscopic optics functionality, for applications from imaging to analog computing. Yet the size scale mismatch of centimeter-scale chips versus micron-scale…

Computational Physics · Physics 2023-08-21 Wenjin Xue , Hanwen Zhang , Abinand Gopal , Vladimir Rokhlin , Owen D. Miller

Achieving resolution in the sub-Rayleigh regime (superresolution) is one of the rapidly developing topics in quantum optics and metrology. Recently, it was shown that perfect measurement based on spatial mode demultiplexing (SPADE) in…

Quantum Physics · Physics 2025-04-01 Konrad Schlichtholz , Łukasz Rudnicki

Maxwell fisheye lens was proposed to reach super-resolution with the addition of wave drain, and the interaction of multiple drains is theoretically predicted to improve subwavelength resolution further. In this paper we discuss the role…

Optics · Physics 2023-05-17 Q. Shen , C. Gu , M. Li , X. Zhang , H. Xiong , Y. Liu , L. Jin , M. Wen , Z. Wei

Most of us will have at some time thrown a pebble into water, and watched the ripples spread outwards and fade away. But now there is a way to reverse the process, and make those ripples turn around and reconverge again, ... and again, and…

Classical Physics · Physics 2013-09-02 Paul Kinsler , Jiajun Tan , Timothy C. Y. Thio , Claire Trant , Navin Kandapper

We propose a hybrid approach to solve the high-frequency Helmholtz equation with point source terms in smooth heterogeneous media. The method is based on the ray-based finite element method (ray-FEM), whose original version can not handle…

Numerical Analysis · Mathematics 2018-07-04 Jun Fang , Jianliang Qian , Leonardo Zepeda-Núñez , Hongkai Zhao

Waveform decomposition is needed as a first step in the extraction of various types of geometric and spectral information from hyperspectral full-waveform LiDAR echoes. We present a new approach to deal with the "Pseudo-monopulse" waveform…

Signal Processing · Electrical Eng. & Systems 2023-06-12 Yuhao Xia , Shilong Xu , Hui Shao , Ahui Hou , Jiajie Fang , Fei Han , Youlong Chen , Jiaqi Wen , Yuwei Chen , Yihua Hu

We experimentally realize an analogue of the optical Maxwell fish-eye lens (MFEL) using phononic excitations in a Bose-Einstein condensate (BEC). A MFEL is characterized by a radially symmetric, spatially varying refractive index with the…

Maxwell's fisheye is a paradigm for an absolute optical instrument with a refractive index deduced from the stereographic projection of a sphere on a plane. We investigate experimentally the dynamics of flexural waves in a thin plate with a…

A rigorous mathematical theory is developed to explain the super-resolution phenomenon observed in the experiment by F.Lemoult, M.Fink and G.Lerosey (Acoustic resonators for far-field control of sound on a subwavelength scale, Phys. Rev.…

Analysis of PDEs · Mathematics 2015-06-19 Habib Ammari , Hai Zhang

Existing image SR and generic diffusion models transfer poorly to fluid SR: they are sampling-intensive, ignore physical constraints, and often yield spectral mismatch and spurious divergence. We address fluid super-resolution (SR) with…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Zhihao Li , Shengwei Dong , Chuang Yi , Junxuan Gao , Zhilu Lai , Zhiqiang Liu , Wei Wang , Guangtao Zhang

The efficient generation of terahertz (THz) waves in two-dimensional (2D) MXene layers driven by near-infrared femtosecond laser pulses is demonstrated through predictive simulations. Employing a novel hydrodynamic model that…

Optics · Physics 2025-12-23 A. A. Molavi Choobini , A. Chimeh

Wide-field sub-millimetre surveys have driven many major advances in galaxy evolution in the past decade, but without extensive follow-up observations the coarse angular resolution of these surveys limits the science exploitation. This has…

Astrophysics of Galaxies · Physics 2021-09-23 Lynge Lauritsen , Hugh Dickinson , Jane Bromley , Stephen Serjeant , Chen-Fatt Lim , Zhen-Kai Gao , Wei-Hao Wang

Frequency-domain full-waveform inversion (FWI) is suitable for long-offset stationary-recording acquisition, since reliable subsurface models can be reconstructed with a few frequencies and attenuation is easily implemented without…

Computational Physics · Physics 2020-04-20 Victorita Dolean , Pierre Jolivet , Stéphane Operto , Pierre-Henri Tournier