The Talbot effect: recent advances in classical optics, nonlinear optics, and quantum optics

Wen, Jianming; Zhang, Yong; Xiao, Min

doi:10.1364/aop.5.000083

Cited by 350 publications

(224 citation statements)

References 100 publications

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“…The experiment can be performed despite the imperfect quality of the grating due to the fact that the Talbot effect reproduces the self-image with modified quality from the grating [30,31]. This is a well-known effect.…”

Section: Discussionmentioning

confidence: 99%

Single Exposure Imaging of Talbot Carpets and Resolution Characterization of Detectors for Micro- and Nano- Patterns

Kim¹,

Danylyuk²,

Brocklesby³

et al. 2016

Journal of the Optical Society of Korea

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In this paper, we demonstrate a self-imaging technique that can visualize longitudinal interference patterns behind periodically-structured objects, which is often referred to as Talbot carpet. Talbot carpet is of great interest due to ever-decreasing scale of interference features. We demonstrate experimentally that Talbot carpets can be imaged in a single exposure configuration revealing a broad spectrum of multi-scale features. We have performed rigorous diffraction simulations for showing that Talbot carpet print can produce ever-decreasing structures down to limits set by mask feature sizes. This demonstrates that large-scale pattern masks may be used for direct printing of features with substantially smaller scales. This approach is also useful for characterization of image sensors and recording media.

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Section: Discussionmentioning

confidence: 99%

Single Exposure Imaging of Talbot Carpets and Resolution Characterization of Detectors for Micro- and Nano- Patterns

Kim¹,

Danylyuk²,

Brocklesby³

et al. 2016

Journal of the Optical Society of Korea

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“…(11) will not be fulfilled, appearing interference between adjacent pulses and invalidating the result obtained in Eq. (36). Two examples where this interference is significant can be seen in Fig.…”

Section: Numerical Simulationsmentioning

confidence: 94%

“…The Talbot effect or self-imaging effect is a near-field diffraction effect that was first reported by H. F. Talbot in 1836 [32]. When a coherent plane wave is passed through or reflected by a ID or 2D periodic object, an exact image of the object can be observed at regular distances [33][34][35][36]. Also, sub-images of the object can be observed at shorter distances where, depending on the distance, a certain reduction of the image size is presented.…”

Section: Introductionmentioning

confidence: 98%

Temporal self-imaging effect for periodically modulated trains of pulses

Pérez-Herrera¹,

Erro²,

Garde³

et al. 2014

Opt. Express

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Abstract:In this paper, the mathematical description of the temporal selfimaging effect is studied, focusing on the situation in which the train of pulses to be dispersed has been previously periodically modulated in phase and amplitude. It is demonstrated that, for each input pulse and for some specific values of the chromatic dispersion, a subtrain of optical pulses is generated whose envelope is determined by the Discrete Fourier Transform of the modulating coefficients. The mathematical results are confirmed by simulations of various examples and some limits on the realization of the theory are commented. 161-237 (1995). 8. A. M. Weiner and A. M. Kan'an, "Femtosecond pulse shaping for synthesis, processing, and time-to-space conversion of ultrafast optical waveforms," IEEE J. Sel. Top. Quantum Electron. 4(2), 317-331 (1998). 9. B. H. Kolner, "Space-time duality and the theory of temporal imaging," IEEE J. Quantum Electron. 30(8), 1951Electron. 30(8), -1963Electron. 30(8), (1994. (McGraw-Hill, 1968). 11. S. A. Akhmanov, A. P. Sukhoruk, and A. S. Chirkin, "Nonstationary phenomena and space-time analogy in nonlinear optics," Sov. Phys. JETP-USSR28, 748 (1969). 12. E. B. Treacy, "Optical pulse compression with diffraction gratings," IEEE J. Quantum Electron. 5(9), 454^158 (1969). 13. B. H. Kolner and M. Nazarathy, "Temporal imaging with a time lens," Opt. Lett. 14(12), 630-632 (1989). References and links A. Papoulis, Systems and Transforms With Applications in Optics

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“…Además, el efecto Talbot tiene en la actualidad una gran variedad de conexiones con el conocimiento científico al nivel fundamental, para las cuales recomendamos el reciente artículo de revisión [10].…”

Section: Introductionunclassified

Efecto Talbot Unidimensional y Bidimensional

Mercado

Flores

Rosu

et al. 2014

Avances

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En este trabajo se muestran los resultados de los experimentos realizados en el verano del 2014 en el IPICYT, para corroborar la existencia del efecto Talbot el cual consiste en la reaparición de una imagen nítida de un objeto periódico iluminado por una fuente de luz cada cierta distancia después del objeto. Esta distancia se le conoce como distancia de Talbot y da la escala espacial de este fenómeno. Se utilizaron rejillas unidimensionales periódicas, aperiódicas y bidimensionales con estructura hexagonal, todas fueron creadas previamente con el programa grafico Adobe Illustrator con las frecuencias espaciales que se calcularon que darían una distancia de Talbot que permite la observación del efecto en el laboratorio. Las rejillas se iluminaron con un láser de He-Ne de longitud de onda de 633 nm (rojo) y posteriormente se localizó a que distancia se volvía a formar la auto-imagen de la rejilla. Palabras claveAdobe Illustrator, Auto-imagen, Distancia Talbot, Efecto Talbot, Rejilla. AbstractIn this paper, we show some experimental results obtained by us in the summer of 2014 in IPICyT to prove the occurrence of the Talbot effect. This effect is due to the constructive interference which leads to the appearance of clear images at a certain distance behind a periodic object illuminated by a light source. The distance of appearance is known as the Talbot distance and provides the spatial scale of this self-imaging phenomenon. We used onedimensional periodic and quasi-periodic gratings as well as two-dimensional hexagonal ones which have been produced by using the Adobe Illustrator graphical program at calculated spatial frequencies that allowed the observation of the effect within the laboratory. The gratings have been illuminated with a He-Ne laser of wavelength 633 nm (red) for which we determined the distance at which a clear self-image of the gratings could be obtained. KeywordsAdobe Illustrator, Grating, Self-image, Talbot distance, Talbot effect. IntroducciónEl estudio del efecto Talbot es de gran interés debido a que de manera natural se forman réplicas de una imagen sin que sean asociadas a algún tipo de lente. En 1836 Henry Fox Talbot mientras inspeccionaba la difracción de luz blanca al atravesar una rejilla se sorprendió al observar que se formaban imágenes nítidas cada cierta distancia del orden de metros que consistían de bandas alternantes, de colores complementarios (por ejemplo rojo-verde) sin importar que la lente estuviera fuera de foco

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The Talbot effect: recent advances in classical optics, nonlinear optics, and quantum optics

Cited by 350 publications

References 100 publications

Single Exposure Imaging of Talbot Carpets and Resolution Characterization of Detectors for Micro- and Nano- Patterns

Single Exposure Imaging of Talbot Carpets and Resolution Characterization of Detectors for Micro- and Nano- Patterns

Temporal self-imaging effect for periodically modulated trains of pulses

Efecto Talbot Unidimensional y Bidimensional

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