1993
DOI: 10.1063/1.110735
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Talbot assisted hexagonal beam patterning in a thin liquid crystal film with a single feedback mirror at negative distance

Abstract: We investigate experimentally the generation of hexagonal patterns of filaments in a laser beam traversing a thin liquid crystal cell placed in front of a single ‘‘virtual mirror.’’ This mirror is the image of a real mirror and is placed either in front of or behind the cell. The results clearly support the physical idea that the Talbot effect governs the phenomenon. Edge effects due to the limited width of the pump beam are accounted for both theoretically and experimentally.

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Cited by 60 publications
(33 citation statements)
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“…A combination of two lenses with focal distances f = 15 cm and separated by a distance of 2f = 30 cm creates a virtual image of a real mirror, placed at a distance d after the last lens, at a distance 2f − d before the first lens. This configuration has been used to study Talbot physics and even allows negative distances to be realized [26,27]. The m-CBS beam is reflected with an angle θ 0 ∼ 1…”
Section: Methodsmentioning
confidence: 99%
“…A combination of two lenses with focal distances f = 15 cm and separated by a distance of 2f = 30 cm creates a virtual image of a real mirror, placed at a distance d after the last lens, at a distance 2f − d before the first lens. This configuration has been used to study Talbot physics and even allows negative distances to be realized [26,27]. The m-CBS beam is reflected with an angle θ 0 ∼ 1…”
Section: Methodsmentioning
confidence: 99%
“…Within paraxial approximation, any periodic spatial modulation with a transverse wavelength Λ will reproduce itself after the so-called Talbot distance, z T = 2Λ 2 /λ, where λ is the light wavelength. At a quarter of this distance a phase modulation is transferred into an amplitude modulation 27 giving the feedback distance, z T /4 = 2d, where optimal positive feedback occurs for a self-focusing medium (neglecting nonlinear absorption). This leads to a length scale of Λ ∝ √ 4dλ 25,26 .…”
Section: Methodsmentioning
confidence: 99%
“…The feedback mirror is located outside the vacuum chamber where the cold atoms are produced. We therefore use a telescope to image the mirror onto a plane located near the cold atomic cloud, producing a 'virtual mirror' whose distance to the sample can be adjusted from positive to negative values 27 . The typical saturation parameter range for the pump is between 0.05 and 1.…”
Section: Methodsmentioning
confidence: 99%
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“…defocusing) if d > 0 (resp. d < 0) (Ciaramella et al, 1993). The transmitted backward beam B out is monitored by CCD cameras.…”
Section: Introductionmentioning
confidence: 99%