Law of refraction for generalised confocal lenslet arrays

Oxburgh, Stephen; White, Chris D.; Antoniou, Georgios; Courtial, Johannes

doi:10.1016/j.optcom.2013.10.017

Cited by 8 publications

(16 citation statements)

References 16 publications

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“…We have shown that the light-ray-direction change upon transmission through gCLAs 7 is sufficiently general that structures of gCLAs can form pixellated transformation-optics devices in which the transformation between electromagnetic and physical space is piecewise affine. This is a surprisingly general and powerful result, and it has the potential to open up important new applications for transformation-optics ideas.…”

Section: Discussionmentioning

confidence: 99%

“…The generalised law of refraction for gCLAs has been derived in Ref. 7 CLAs and gCLAs have interesting imaging properties. Ignoring the (small) sideways offset light rays experience upon transmission through the telescopes, planar, homogeneous, CLAs 10 and a subset of planar, homogeneous, gCLAs 8 have the property of stigmatically (ray-optically perfectly) imaging between all of object a b Figure 2.…”

Section: Generalised Refraction With Generalised Confocal Lenslet Arraysmentioning

confidence: 99%

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Transformation optics with windows

et al. 2014

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Transformation optics is a recent paradigm for designing metamaterial structures that behave, to light, like curved spaces. The headline application, invisibility cloaking, has created much interest with scientists and the public alike. Transformation-optics devices built from metamaterials have many limitations, for example the very high cost of creating even tiny volumes of the nano-structured materials required for operation in the visible wavelength range, and the very narrow wavelength band over which metamaterials have the desired properties. Pairs of microlens arrays that are separated by the sum of their focal lengths form arrays of micro-telescopes. Such arrays are pixellated windows (each telescope is one pixel) that change, over a limited field of view but also over a wide wavelength range, the light-ray direction of transmitted light rays like the interface between different materials. In principle, they can also be manufactured cheaply and in bulk. By exploiting the fact that these windows are (in principle) perfectly imaging [S. Oxburgh and J. Courtial, J. Opt. Soc. Am. A 30, 2334 (2013)], we demonstrate that such windows, when combined into suitable structures, are pixellated transformation-optics devices. This new class of transformation-optics device can be macroscopic in size, and so such devices offer a very different compromise to metamaterial transformation-optics devices. This should significantly widen the applicability of transformation optics.

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Section: Discussionmentioning

confidence: 99%

Section: Generalised Refraction With Generalised Confocal Lenslet Arraysmentioning

confidence: 99%

Transformation optics with windows

et al. 2014

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“…Together, Eqns (24), (25) and (26) determine the direction e of the refracted light ray. We solve these equations as follows.…”

Section: Metrics Fermat's Principle and Refraction At Metric Inter-mentioning

confidence: 99%

Dr TIM: Ray-tracer TIM, with additional specialist scientific capabilities

Oxburgh

Tyc

Courtial

2014

Computer Physics Communications

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We describe several extensions to TIM, a raytracing program for ray-optics research. These include relativistic raytracing; simulation of the external appearance of Eaton lenses, Luneburg lenses and generalized focusing gradient-index lens (GGRIN) lenses, which are types of perfect imaging devices; raytracing through interfaces between spaces with different optical metrics; and refraction with generalised confocal lenslet arrays, which are particularly versatile METATOYs. Summary of revisions: added capabilities include simulation of different types of camera moving at relativistic speeds relative to the scene; visualisation of the external appearance of generalized focusing gradient-index (GGRIN) lenses, including Maxwell fisheye, Eaton and Luneburg lenses; calculation of refraction at the interface between spaces with different optical metrics; and handling of generalised confocal lenslet arrays (gCLAs), a new type of METATOY External routines/libraries: JAMA [1] (source code included) Nature of problem: visualisation of scenes that include scene objects that create wave-optically forbidden light-ray fields Solution method: ray tracing Unusual features: specifically designed to visualise wave-optically forbidden light-ray fields; can visualise ray trajectories and geometric optic transformations; can simulate photos taken with different types of camera moving at relativistic speeds, interfaces between spaces with different optical metrics, the view through METATOYs and generalised focusing gradient-index lenses; can create anaglyphs

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“…11 We have used this idea to design and investigate windows that change the pieces of the beam by passing them through tiny Dove prisms, 12,13 which leads to mirroring of the ray direction, and we have used lenticular arrays (as used in 3D postcards) to build windows with this same functionality. 14 We have also designed and investigated [15][16][17] and built 18 arrays of micro-telescopes, which we _'---_ -1.r: Figure 1. Example of relativistic distortion.…”

Section: Introductionmentioning

confidence: 99%

Lorentz-transformation and Galileo-transformation windows

et al. 2014

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We define Lorentz-transformation windows as windows that change the direction of transmitted light rays like a Lorentz transformation. Similarly, Galileo-transformation windows change the direction of transmitted light rays like a Galileo transformation. This light-ray-direction change distorts the scene seen through such a window in the same way in which the scene would be distorted in a photo taken with a camera moving through the scene. Lorentz-transformation windows can also undo the distortion of the scene when moving at relativistic velocity relative to it. For small angles between the direction of the light rays and the direction of the velocity, Galileo-transformation windows can be realised with relatively simple telescope windows, which consist of arrays of identical micro-telescopes.

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Law of refraction for generalised confocal lenslet arrays

Abstract: We derive the law of generalised refraction for generalised confocal lenslet arrays, which are arrays of misaligned telescopes. We have implemented this law of refraction in TIM, a custom open-source ray tracer.

Cited by 8 publications

References 16 publications

Transformation optics with windows

Transformation optics with windows

Dr TIM: Ray-tracer TIM, with additional specialist scientific capabilities

Lorentz-transformation and Galileo-transformation windows

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