XXV. <i>On copying diffraction-gratings, and on some phenomena connected therewith</i>

F.R.S., Lord Rayleigh

doi:10.1080/14786448108626995

Cited by 560 publications

(224 citation statements)

References 0 publications

Supporting

Mentioning

217

Contrasting

Unclassified

Order By: Relevance

“…where / is the grating period and O is the effective wavelength of the incident light 5 . Since smaller gratings have larger diffraction angles given by the diffraction formula as sin ș = Ȝ / ȁ, high numerical aperture (NA) and high resolution techniques are required to observe these effects for fine gratings.…”

mentioning

confidence: 99%

Measuring amplitude and phase of light emerging from microstructures with HRIM

2011

View full text Add to dashboard Cite

Ultra high-resolution measurements of amplitude and phase fields emerging from fine period amplitude gratings are presented and discussed. In the axial direction periodically repeated features are found, whose origins are the Talbot effect within the Fresnel diffraction regime. The phase field recording leads to a very precise measurement of the localization of the Talbot planes and precisions below 100 nm are demonstrated. The concept of immersion interference microscopy is demonstrated. By accessing the back focal plane of the observation system filtering of diffraction orders provides specific Talbot images and allows to intuitively understand the role of diffraction orders for Talbot effect.

show abstract

mentioning

confidence: 99%

Measuring amplitude and phase of light emerging from microstructures with HRIM

2011

View full text Add to dashboard Cite

show abstract

“…Rayleigh trató de explicar el efecto Talbot por la interferencia que se produce entre las ondas difractadas por la estructura perió-dica de la rejilla en la zona de campo cercano detrás de la rejilla en la dirección de propagación [3].…”

Section: Introductionunclassified

Efecto Talbot Unidimensional y Bidimensional

Mercado

Flores

Rosu

et al. 2014

Avances

View full text Add to dashboard Cite

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

show abstract

“…L. Rayleigh explained that the replication distance, z T , of this optical pattern under illumination with a monochromatic plane wave is determined by the period of the object structure (d) and by the wavelength (λ) of the incident light, and he derived a relation for the distance, known since then as the "Talbot length", {z T =2d 2 /λ} [11]. The phenomenon can be explained by Fresnel diffraction theory of the periodic object [12][13][14].…”

Section: Introductionmentioning

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

View full text Add to dashboard Cite

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.

show abstract

XXV. On copying diffraction-gratings, and on some phenomena connected therewith

Cited by 560 publications

References 0 publications

Measuring amplitude and phase of light emerging from microstructures with HRIM

Measuring amplitude and phase of light emerging from microstructures with HRIM

Efecto Talbot Unidimensional y Bidimensional

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

Contact Info

Product

Resources

About