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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

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

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

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

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

Leonhard and Philbin [Phys. Rev. A 81, 011804(R) (2010)] have recently constructed a mathematical proof that the Maxwell's fish-eye lens provides perfect imaging of electromagnetic waves without negative refraction. In this comment, we…

Optics · Physics 2015-05-19 R. Merlin

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

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

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

Transformation optics is used to prove that a spherical waveguide filled with an isotropic material with radial refractive index n=1/r has radial polarized modes (i.e. the electric field has only radial component) with the same perfect…

Optics · Physics 2015-05-20 Juan C. Miñano , Pablo Benítez , Juan C. González

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

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

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

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

The Maxwell's fisheye (MFE) lens, due to its focusing properties, is an interesting candidate for implementing the crossing of multiple waveguides. The MFE lens is implemented by two different structures: concentric cylindrical multilayer…

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

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

Mode-division multiplexing (MDM) is an emerging large-capacity data communication technology utilizing orthogonal guiding modes as independent data streams. One of the challenges of multimode waveguide routing in MDM systems is decreasing…

Optics · Physics 2019-06-12 S. Hadi Badri , H. Rasooli Saghai , Hadi Soofi

The absolute instruments like the Maxwell's fisheye (MFE) lens with aberration-free imaging properties have found interesting applications such as waveguide crossing. The flat wavefront of an optical wave in the waveguide does not match…

Optics · Physics 2019-06-17 M. M. Gilarlue , S. Hadi Badri
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