Analysis of the Lau effect and generalized grating imaging

Swanson, Gary J.; Leith, Emmett N.

doi:10.1364/josaa.2.000789

Cited by 61 publications

(27 citation statements)

References 8 publications

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“…Under these circumstances an infinite family of images will appear at different, finite distances from the second grating. The existence and the location of these images are also well known, for the case in which either incoherent 6 or partially coherent illumination 4 is used. But, to our understanding, the exact number of images that will be observable in a system with partially coherent illumination, and the focal depth of those images, has not previously been studied in detail.…”

Section: Theoretical Expressionsmentioning

confidence: 99%

“…5 In the case that the second grating has a slightly different pitch from the first one, pseudoimages of the first grating may appear at a certain number of discrete distances from the second grating. 6,7 All these different processes can be regarded within the general formalism of a double diffraction setup illuminated with an extended monochromatic source. Theoretical expressions for the process of generalized grating imaging were recently presented by the current authors.…”

Section: Introductionmentioning

confidence: 99%

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Experimental measurements of generalized grating images

Crespo¹,

Alonso²,

Bernabéu³

2002

Appl. Opt.

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The term generalized grating imaging is used to describe the process of image formation of a grating using only another grating as imaging system. The moiré and the Lau effects could be regarded as particular cases of such a process. Here we deal with the less-studied case of images formed at finite distances from the gratings, using an extended monochromatic light source. Some experimental results are shown for the images obtained in this last case, and they are compared with theoretical predictions.

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Section: Theoretical Expressionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Experimental measurements of generalized grating images

Crespo¹,

Alonso²,

Bernabéu³

2002

Appl. Opt.

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“…Se han desarrollado diferentes modelos para explicar la formación de las franjas de Lau. Estos modelos se han basado en: la teoría de la difracción (Jahns y Lohmann, 1979), la teoría de la coherencia (Gori, 1979), la función de transferencia óptica del sistema (OTF) (Brenner, 1983), las funciones de Walsh (Colautti, 1988), las propiedades de un interferómetro de doble red (Swanson, 1982, Swanson, 1985, y la utilización de una representación dual espaciofase y de autoimágenes (Patorski, 1983).…”

Section: Introductionunclassified

Características del efecto Lau empleando redes de fase y de volumen fotorrefractivas

Forte

Tebaldi

Bolognini

2018

Rev. Acad. Colomb. Cienc. Ex. Fis. Nat.

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ResumenEn este trabajo se estudia el efecto Lau empleando redes de fase de volumen generadas en un cristal fotorrefractivo tipo BSO. En nuestra propuesta la red de fase objeto se genera mediante la proyección de la imagen de una red iluminada incoherentemente en el volumen del cristal. Para esta red de fase fotorrefractiva se define un parámetro de modulación que depende del espesor del cristal. Se presentan resultados teóricos para diferentes distancias entre redes objeto-fuente que confirman nuestra propuesta. © 2018. Acad. Colomb. Cienc. Ex. Fis. Nat. Palabras clave: Efecto Lau; Red de volumen; Cristales fotorrefractivos. Features of the Lau effect by using a photorefractive volume phase grating AbstractThis work analyzes the Lau effect produced by the volume phase grating generated in a photorefractive BSO crystal. In our proposal, the object phase grating is generated by projecting the image of an incoherently illuminated grating in the crystal volume. A modulation parameter that includes the effect of the crystal depth is introduced for this photorefractive phase grating. Theoretical results for different distances between object-source gratings that confirm our approach are presented.

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“…From the first studies based on diffraction theory [5], a model for pseudoimage formation based on Fresnel propagation of light has been progressively improved [6,7], introducing total incoherence [8], partially coherent light [9][10][11][12][13] and finite spectral width [14].…”

Section: Introductionmentioning

confidence: 99%

“…Usually, in these configurations, the fringes contrast strongly depends on the distance between gratings, since a similar condition to the Talbot effect must be fulfilled. This condition is needed to obtain significant contrast pseudoimages [8]. On the other hand, new technologies are demanding systems with higher resolutions, therefore, the use of diffraction gratings with lower and lower grating periods.…”

Section: Introductionmentioning

confidence: 99%

Invariant grating pseudoimaging using polychromatic light and a finite extension source

et al. 2008

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The Talbot effect is a well studied phenomenon by which grating pseudoimages appear at certain periodic distances when monochromatic light is used. Recently, numerical simulations have shown a new phenomenon; when a polychromatic light beam is used in a double grating system, the intensity of the pseudoimages presents a transverse-profile that remains unaffected over a wide range of propagation distances. This effect can be used to increase the tolerances of gratings based optical devices, such as displacement measurement systems, interferometers, and spectrometers. The pseudoimages formation with a polychromatic and finite extension light source is analytically and experimentally demonstrated. Relatively simple analytical expressions for the intensity and the contrast allow us to predict when pseudoimages present a constant contrast and when they disappear. Furthermore, we experimentally obtain the pseudoimages using the proposed configuration, corroborating the theoretical predictions.

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Analysis of the Lau effect and generalized grating imaging

Cited by 61 publications

References 8 publications

Experimental measurements of generalized grating images

Experimental measurements of generalized grating images

Características del efecto Lau empleando redes de fase y de volumen fotorrefractivas

Invariant grating pseudoimaging using polychromatic light and a finite extension source

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