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We present an integral of diffraction based on particular eigenfunctions of the Laplacian in two dimensions. We show how to propagate some fields, in particular a Bessel field, a superposition of Airy beams, both over the square root of the…

We investigate the propagation of one-dimensional and two-dimensional (1D, 2D) Gaussian beams in the fractional Schr\"odinger equation (FSE) without a potential, analytically and numerically. Without chirp, a 1D Gaussian beam splits into…

Optics · Physics 2016-05-17 Yiqi Zhang , Hua Zhong , Milivoj R. Belić , Noor Ahmed , Yanpeng Zhang , Min Xiao

The propagation and transmission of Bessel beams through nano-layered structures has been discussed recently. Within this framework we recognize the formation of unguided diffraction-free waves with the spot size approaching and…

Optics · Physics 2016-01-20 Carlos J. Zapata-Rodriguez

We present an electron interferometer based on near-field diffraction from two nanostructure gratings. Lau fringes are observed with an imaging detector, and revivals in the fringe visibility occur as the separation between gratings is…

Optics · Physics 2015-06-26 Alexander D. Cronin , Ben McMorran

We report on the experimental and theoretical interpretation of the diffraction of a probe beam during inscription of a surface relief grating with an interference pattern into a photo-responsive polymer film. For this we developed a set-up…

Applied Physics · Physics 2019-11-05 Joachim Jelken , Carsten Henkel , Svetlana Santer

Diffraction gratings integrated into an atomic, molecular, and optical (AMO) setup offer a compact and efficient route toward atom cooling and trapping, thus preparing magneto-optical traps (MOT) for insertion into future scalable quantum…

Optics · Physics 2025-03-18 Elaheh Karooby , Jiazhen Li , Amit Agrawal , Qing Gu

We introduce an idea of producing an optical lattice relied on the Talbot effect. Our alternative scheme is based on the interference of light behind a diffraction grating in the near-field regime. We demonstrate 1-D and 2-D optical…

Optics · Physics 2015-06-17 S. Deachapunya , S. Srisuphaphon

We experimentally characterize the positions of the diffraction maxima of a phase grating on a screen, for laser light at oblique incidence (so-called off-plane diffraction or conical diffraction). We discuss the general case of off-plane…

Optics · Physics 2021-05-12 Georg Heuberger , Juergen Klepp , Jinxin Guo , Yasuo Tomita , Martin Fally

Recently, a method for obtaining diffraction-attenuation resistant beams in absorbing media was developed through suitable superposition of ideal zero-order Bessel beams. In this work, we will show that such beams maintain their resistance…

Spatial characteristics of the optical-vortex (OV) beams created during the Gaussian beam diffraction by a grating with groove bifurcation are analyzed theoretically and numerically. In contrast to previous works, condition of small-angle…

Optics · Physics 2009-07-16 A. Bekshaev , O. Orlinska , M. Vasnetsov

Self-imaging in near-field diffraction is a practical application of coherent manipulation of matter waves in Talbot interferometry. In this work, near-field diffraction of protons by a nanostructured metallic grating under the influence of…

Quantum Physics · Physics 2023-09-15 Sushanta Barman , Sudeep Bhattacharjee

The Talbot effect, in which a wave imprinted with transverse periodicity reconstructs itself at regular intervals, is a diffraction phenomenon that occurs in many physical systems. Here we present the first observation of the Talbot effect…

Quantum Physics · Physics 2009-11-13 Benjamin J. McMorran , Alexander D. Cronin

We consider in this paper the angular deviation and diffraction efficiency of the reflection gratings in Littrow-configuration for applications of external cavity diode laser using the rigorous coupled-wave analysis method. We consider the…

Optics · Physics 2024-03-12 Biao Chen , Y. Liu , Daping He , He Chen , Kaikai Huang , Xuanhui Lu

A popular pedagogical approach for introducing diffraction is to assume normal incidence of light on a single slit or a plane transmission grating. Interesting cases of diffraction from a grating at orientations other than normal incidence…

Optics · Physics 2025-08-25 Ninad R. Jetty , Akash Suman , Rajesh B. Khaparde

We shortly recall the mathematical and physical aspects of Talbot's self-imaging effect occurring in near-field diffraction. In the rational paraxial approximation, the Talbot images are formed at distances z=p/q, where p and q are…

Optics · Physics 2007-05-23 H. C. Rosu , J. P. Trevino , H. Cabrera , J. S. Murguia

The oblique incidence of a Bessel beam on a dielectric slab with refractive index n1 surrounded by a medium of a refractive index n>n1 may be studied simply by expanding the Bessel beam into a set of plane waves forming the same angle with…

Optics · Physics 2009-11-11 D. Mugnai

An analytical method for diffraction of a plane electromagnetic wave at periodically-modulated graphene sheet is presented. Both interface corrugation and periodical change in the optical conductivity are considered. Explicit expressions…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 T. M. Slipchenko , M. L. Nesterov , L. Martin-Moreno , A. Yu. Nikitin

In this article we present a theoretical study for Fraunhofer diffraction of a Laguerre-Gaussian laser beam with zeroth radial mode number and azimuthal mode number l by diffractive grating with embedded fork-shaped dislocations of integer…

Optics · Physics 2015-05-20 Suzana Topuzoski , Ljiljana Janicijevic

Talbot length, the distance between two consecutive self-image planes along the propagation axis for a periodic diffraction object (grating) illuminated by a plane wave, depends on the period of the object and the wavelength of…

Optics · Physics 2024-08-21 Saumya J. Sarkar , M. Ebrahim-Zadeh , G. K. Samanta

We have developed low-dispersion (1480 l/mm), resonance-free, diffraction gratings made of dielectric materials resistant to femtosecond laser damage $(SiO_{2}/HfO_{2})$. A 14 cm diameter sample was fabricated resulting in a mean…

Instrumentation and Detectors · Physics 2019-05-22 David A. Alessi , Hoang T. Nguyen , Jerald A. Britten , Paul A. Rosso , Constantin Haefner
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