Method of shaping the front profile of metallic mirrors with a given relief of its back surface

Seregin, D. A.; Seregin, A. G.; Tomilin, M. G.

doi:10.1364/jot.71.000121

Cited by 5 publications

(6 citation statements)

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“…The concave (convex) regions of this relief then focus (defocus) the reflected beam, thus causing contrast variations in the image. The correspondence between back relief and the Makyoh image has been experimentally confirmed [7].…”

Section: Introductionmentioning

confidence: 68%

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Modelling of the backside pattern transfer in magic mirror (Makyoh) imaging

Riesz¹

2022

J. Opt.

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A model of magic-mirror (Makyoh) imaging with the mirror backside relief as the input is described. The mechanical pattern transfer is modelled by a convolution approach while the optical imaging using a nonlinear geometrical optical model, more general than previous approaches. Characteristic features of the imaging is analysed and the linear approximation is examined. Diffraction effects are also treated. Characteristic features for the ancient mirror and applications in semiconductor wafer inspection are discussed.

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Section: Introductionmentioning

confidence: 68%

“…Figure 3 shows the plots of equation ( 5) and the Gaussian fit. We can write (7) in a non-normalised form as well, that is, use ρ as the argument and d as the usual Gaussian width parameter; then d = ρ d d n .…”

Section: Modelling Of the Backside Pattern Transfermentioning

confidence: 99%

Modelling of the backside pattern transfer in magic mirror (Makyoh) imaging

Riesz¹

2022

J. Opt.

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“…In oriental magic mirrors [1][2][3], relief invisible to the unaided eye can nevertheless cause the surface to reflect an incident beam and cast a well-defined pattern onto a screen. My aim here is to describe how the theory of these striking artefacts [4][5][6][7] can be adapted to create a 'magic window'an apparently featureless transparent sheet whose invisible relief can be designed to refract a collimated beam onto a screen, with the light intensity reproducing any desired picture.…”

Section: Introductionmentioning

confidence: 99%

Laplacian magic windows

Berry¹

2017

J. Opt.

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A transparent sheet, flat to unaided vision but with a gentle surface relief, can concentrate light onto a screen with intensity reproducing any desired image: the sheet is a ‘magic window’. When the ray deflections are sufficiently small that there are no caustics between the window and the screen, the image intensity is the Laplacian function of the relief height function—a very simple approximation to general freeform optics. Therefore the desired relief is obtained by solving Poisson’s equation. Numerical simulations indicate that the Laplacian image approximation will apply to realistic situations.

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“…The ancients were unable to give the phenomenon a convincing explanation, but it was reflected in the old saying 'the truth always comes out in the sun.' [5,6].…”

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confidence: 99%