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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

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

It has been shown that negative refraction makes a perfect lens. However, with little loss, the imaging functionality will be strongly compromised. Later on, it was proved that positive refraction from Maxwell's fish-eye lens can also makes…

Optics · Physics 2021-07-06 Yangyang Zhou , Zhanlei Hao , Pengfei Zhao , Huanyang Chen

Perfect imaging has been believed to rely on negative refraction, but here we show that an ordinary positively-refracting optical medium may form perfect images as well. In particular, we establish a mathematical proof that Maxwell's fish…

Optics · Physics 2009-09-30 Ulf Leonhardt

Whether or not perfect imaging is obtained in the mirrored version of Maxwell's fisheye lens is debated in the comment/reply sequence [Blaikie-2010njp, Leonhardt-2010njp] discussing Leonhardt's original paper [Leonhardt-2009njp]. Here we…

Optics · Physics 2012-10-19 Paul Kinsler , Alberto Favaro

Kinsler and Favaro point out correctly that Blaikie's numerical solution of Maxwell's equations in Maxwell's fish eye is causal and hence valid, a solution where no perfect image is formed. It is wrong to conclude from the existence of a…

Optics · Physics 2015-05-20 Ulf Leonhardt

We demonstrate perfect imaging in Maxwell's fish eye for microwaves. Our data show that the field of a line source is imaged with subwavelength resolution over superwavelength distances, provided the field is allowed to leave through…

Optics · Physics 2010-07-16 Yun Gui Ma , C. K. Ong , Sahar Sahebdivan , Tomas Tyc , Ulf Leonhardt

In this paper, a modified Maxwell's fish-eye lens is proposed in order to achieve super-resolution imaging. This lens possesses elevated refractive index profile compared with the traditional Maxwell's fish-eye lens. The refractive index…

Classical Physics · Physics 2024-02-08 Liuxian Zhao , Chunlin Li , Xuxu Zhuang , Hao Guo , Yongquan Liu

Imaging with a spherical mirror in empty space is compared with the case when the mirror is filled with the medium of Maxwell's fish eye. Exact time-dependent solutions of Maxwell's equations show that perfect imaging is not achievable with…

Optics · Physics 2015-05-19 Ulf Leonhardt , Sahar Sahebdivan

Perfect imaging for electromagnetic waves using the Maxwell Fish Eye (MFE) requires a new concept: the perfect drain. From the mathematical point of view, a perfect point drain is just like an ideal point source, except that it drains power…

Optics · Physics 2015-05-20 Juan C. Gonzalez , Pablo Benitez , Juan C. Minano

The promise of perfect imaging in the optical domain, where light can be imaged without aberrations and with ultra-high resolution, could revolutionize technology and nanofabrication [1, 2, 3, 4, 5, 6]. Recently it has been shown…

Optics · Physics 2012-05-22 Lucas H. Gabrielli , Ulf Leonhardt , Michal Lipson

The point of the paper is to show some limitations of geometrical optics in the analysis of subwavelength focusing. We analyze the resolution of the image of a line source radiating in the Maxwell fisheye and the Veselago-Pendry slab lens.…

Optics · Physics 2010-09-03 Sebastien Guenneau , Andre Diatta , Ross McPhedran

Leonhardt demonstrated (2009) that the 2D Maxwell Fish Eye lens (MFE) can perfectly focus 2D Helmholtz waves of arbitrary frequency, i.e., it can perfectly transport an outward (monopole) 2D Helmholtz wave field, generated by a point…

We use both FEM (finite element method) and FDTD (finite difference time domain method) to simulate the field distribution in Maxwell's fish eye lens with one or more passive drains around the image point. We use the same Maxwell's fish eye…

Optics · Physics 2010-11-29 Fei Sun , Xiaochen Ge , Sailing He

Perfect drain for the Maxwell Fish Eye (MFE) is a non-magnetic dissipative region placed in the focal point to absorb all the incident radiation without reflection or scattering. The perfect drain was recently designed as a material with…

Optics · Physics 2012-03-13 Juan C. Gonzalez , Dejan Grabovickic , Juan C. Minano , Pablo Benitez

Both explicit analysis and FEM numerical simulation are used to analyze the field distribution of a line current in the so-called Maxwell's fish eye lens [bounded with a perfectly electrical conductor (PEC) boundary]. We show that such a 2D…

Optics · Physics 2010-10-05 Fei Sun , Sailing He

The non-magnetic loss material has been proposed (2011 New J. Phys. 13 023038) to mimic a passive perfect drain in the Maxwell's fish eye lens (MFL). In this comment, we argue that this passive medium can only be treated as a perfect…

Optics · Physics 2013-03-11 Fei Sun

Both explicit analysis and FEM numerical simulation are used to analyze the field distribution of a line current in the so-called Maxwell's fish eye lens, which has been claimed recently to be able to achieve perfect imaging. We show that…

Optics · Physics 2010-05-25 Fei Sun , Sailing He

Both explicit analysis and FEM numerical simulation are used to analyze the field distribution of a line current in the so-called Maxwell's fish eye lens [bounded with a perfectly electrical conductor (PEC) boundary]. We show that such a 2D…

Optics · Physics 2010-09-16 Fei Sun , Sailing He

Broadband super-resolution imaging is important in optical field. To achieve super-resolution imaging, various lenses from superlens to solid immersion lens have been designed and fabricated in recent years. However, the imaging is…

Applied Physics · Physics 2021-12-01 Jue Li , Yangyang Zhou , Huanyang Chen
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