Magnifying absolute instruments for optically homogeneous regions

Tyc, Tomáš

doi:10.1103/physreva.84.031801

Cited by 10 publications

(8 citation statements)

References 15 publications

(26 reference statements)

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“…where the prime denotes a derivative with respect to r. The equations (5) are analogous to the radial part of the Schrödinger equation obtained when solving a quantum-mechanical motion in a central potential. As was shown by Langer [14], however, a direct application of the WKB method to that equation leads to problems due to the centrifugal potential and termination of the r-axis at r = 0, and yields wrong results for the energy spectrum of the system.…”

Section: Wkb Calculation Of Spectra Of Aismentioning

confidence: 99%

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Spectra of absolute instruments from the WKB approximation

Tyc

2013

New J. Phys.

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We calculate the frequency spectra of absolute optical instruments using the Wentzel-Kramers-Brillouin (WKB) approximation. The resulting eigenfrequencies approximate the actual values very accurately; in some cases they even give the exact values. Our calculations confirm the results obtained previously by a completely different method. In particular, the eigenfrequencies of absolute instruments form tight groups that are almost equidistantly spaced. We demonstrate our method and its results applied to several examples. 12 Acknowledgments 12 References 13Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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Section: Wkb Calculation Of Spectra Of Aismentioning

confidence: 99%

“…In recent years, absolute instruments have attracted increased interest that has led to proposing new devices of various types, e.g. AIs that perform imaging of the whole space and of optically homogeneous regions [3,4] or provide magnified images [5]. A general method has been proposed in [4] for designing spherically symmetric AIs.…”

Section: Introductionmentioning

confidence: 99%

Spectra of absolute instruments from the WKB approximation

Tyc

2013

New J. Phys.

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“…( 23 ), we find that the homogeneous medium provides a degree of freedom that enables some interesting functionalities. For instance, if n a < n b the profile can be designed as a ‘magnifying lens’ 42 that enhances the power density in the lower waveguide filled by index n b . Also, the image point can be placed inside the lens rim as long as r i ≥ n a / n b .…”

Section: Resultsmentioning

confidence: 99%

Double-layer geodesic and gradient-index lenses

et al. 2022

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A double-layer lens consists of a first gradient-index/geodesic profile in an upper waveguide, partially surrounded by a mirror that reflects the wave into a lower guide where there is a second profile. Here, we derive a new family of rotational-symmetric inhomogeneous index profiles and equivalent geodesic lens shapes by solving an inverse problem of pre-specified focal points. We find an equivalence where single-layer lenses have a different functionality as double-layer lenses with the same profiles. As an example, we propose, manufacture, and experimentally validate a practical implementation of a geodesic double-layer lens that is engineered for a low-profile antenna with a compact footprint in the millimeter wave band. Its unique double-layer configuration allows for two-dimensional beam scanning using the same footprint as an extension of the presented design. These lenses may find applications in future wireless communication systems and sensing instruments in microwave, sub-terahertz, and optical domains.

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“…A number of graded index lenses have been proposed that can theoretically perform perfect imaging for geometrical optics [26,30,31]. In this paper, both the Maxwell fish eye and the Miñano lens are studied, the latter chosen because of its homogeneous imaging region.…”

Section: Perfect Imaging Lensesmentioning

confidence: 99%

Frequency dependence and passive drains in fish-eye lenses

2012

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The Maxwell fish eye lens has previously been reported as being capable of the much sought after phenomenon of subwavelength imaging. The inclusion of a drain in this system is considered crucial to the imaging ability, although its role is the topic of much debate. This paper provides a numerical investigation into a practical implementation of a drain in such systems, and analyzes the strong frequency dependence of both the Maxwell fish eye lens and an alternative, the Miñano lens. The imaging capability of these types of lens is questioned, and it is supported by simulations involving various configurations of drain arrays. Finally, a discussion of the near-field and evanescent wave contribution is given.

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Magnifying absolute instruments for optically homogeneous regions

Abstract: We propose a class of magnifying absolute optical instruments with a positive isotropic refractive index. They create magnified stigmatic images, either virtual or real, of optically homogeneous three-dimensional spatial regions within geometrical optics.Comment: 4 pages, 8 figure

Cited by 10 publications

References 15 publications

Spectra of absolute instruments from the WKB approximation

Spectra of absolute instruments from the WKB approximation

Double-layer geodesic and gradient-index lenses

Frequency dependence and passive drains in fish-eye lenses

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