Talbot effect with rough reflection gratings

Torcal-Milla, Francisco José; Sanchez‐Brea, Luis Miguel; Bernabéu, Eusebio

doi:10.1364/ao.46.003668

Cited by 32 publications

(27 citation statements)

References 15 publications

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“…Light that passes through the rough strips is scattered in all directions forming in the far field the halos of light around the diffraction peaks. The results obtained with this high roughness limit explain the experimental assumptions performed in [11], where a steel tape grating was shown to behave as an amplitude grating. …”

Section: ͑18͒supporting

confidence: 78%

“…Gratings with roughness can be found, for example, when the substrate is metallic as in steel tape gratings, which are used in optical metrology. Steel tape gratings have been analyzed under a high roughness approach [11,12]. Rough slits scatter light in all directions, and only a small portion of this scattered light reaches the photodetectors.…”

Section: Introductionmentioning

confidence: 99%

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Far field of gratings with rough strips

2008

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In this work, we analyze the far-field pattern produced by a grating made of strips with two different random roughness levels. The efficiency and shape of the diffraction orders is obtained, which are shown to depend on the statistical properties of roughness. We assume for the calculations that the grating can be used in a mobile mechanical system. A preliminary experimental approach which partially corroborates the theoretical results is also performed.

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Section: ͑18͒supporting

confidence: 78%

Section: Introductionmentioning

confidence: 99%

Far field of gratings with rough strips

2008

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“…When the grating presents a certain roughness, a statistical approach for determining the intensity distribution after the grating is required. The Talbot effect for steel tape gratings has been analyzed previously, showing that the contrast of the self-images decreases when the distance between the grating and the observation plane increases [11,12]. In the present work, the gratings are assumed to be transmission gratings.…”

Section: Introductionmentioning

confidence: 91%

“…Normally amplitude or phase gratings are used, which modulate the amplitude or the phase of the incident light, respectively [4][5][6][7]. There are also other possibilities for modulating the incident light, such as polarization gratings, which modulate the state of polarization [8][9][10], and gratings whose strips present a different microtopographic structure [11]. Examples of gratings with roughness are steel tape gratings used in displacement measurement systems [12].…”

Section: Introductionmentioning

confidence: 99%

Self-imaging of gratings with rough strips

2008

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We analyze the self-imaging process produced by a transmission grating whose strips present two different roughness levels. This kind of grating periodically modulates the transmitted light owing only to the different microtopographic properties of the strips. In spite of the fact that the grating is not purely periodic, it produces a kind of self-image at Talbot distances. These self-images gradually appear as light propagates, but they are not present just after the grating, as occurs in amplitude or phase gratings. There exists a distance from the grating, which depends on the stochastic properties of roughness, from which the contrast of the self-images becomes stable. Important cases are analyzed in detail, such as low-and high-roughness limits. We assume for the calculations that the grating can be used in a mobile system. Simulations using the Rayleigh-Sommerfeld regime have been performed, which confirm the validity of the theoretical approach proposed in this work

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“…Amplitude or phase gratings are used in most applications. Also, other kind of gratings is possible, such as polarization gratings [8][9][10] or gratings with random microscopic irregularities in the topography [11][12][13]. In the far field the beam is divided into diffraction orders whose directions are given by the well-known grating equation [1].…”

Section: Introductionmentioning

confidence: 99%

Diffraction of gratings with rough edges

Torcal-Milla¹,

Sanchez‐Brea²,

Bernabéu³

2008

Opt. Express

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Abstract:We analyze the far field and near field diffraction pattern produced by an amplitude grating whose strips present rough edges. Due to the stochastic nature of the edges a statistical approach is performed. The grating with rough edges is not purely periodic, although it still divides the incident beam in diffracted orders. The intensity of each diffraction order is modified by the statistical properties of the irregular edges and it strongly decreases when roughness increases except for the zero-th diffraction order. This decreasing firstly affects to the higher orders. Then, it is possible to obtain an amplitude binary grating with only diffraction orders -1, 0 and +1. On the other hand, numerical simulations based on Rayleigh-Sommerfeld approach have been used for the case of near field. They show that the edges of the self-images are smoother than the edges of the grating. Finally, we fabricate gratings with rough edges and an experimental verification of the results is performed. Opt. Soc. Am. A 11, 1874-1885 (1994

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Talbot effect with rough reflection gratings

Cited by 32 publications

References 15 publications

Far field of gratings with rough strips

Far field of gratings with rough strips

Self-imaging of gratings with rough strips

Diffraction of gratings with rough edges

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