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We report a proof-of-principle experimental demonstration of quantum lithography. Utilizing the entangled nature of a two-photon state, the experimental results have bettered the classical diffraction limit by a factor of two. This is a…

Quantum Physics · Physics 2009-11-07 Milena D'Angelo , Maria V. Chekhova , Yanhua H. Shih

A simple method for presenting a dynamic transition between Fresnel and Fraunhofer diffraction zones is considered. Experiments are conducted on different apertures and diffraction patterns are photographed at various distances between the…

Fraunhofer diffraction plays a vital role in experimental physics not only because it accurately describes the behaviour of light in the usual propagation limit, but also because it links the diffracted light with the scattering object…

A method to create instructive, nonuniform aperture functions using spatial frequency filtering is described. The diffraction from a single slit in the Fresnel limit and the interference from a double slit in the Fraunhofer limit are…

Optics · Physics 2015-06-05 Lowell T. Wood

A two-dimensional (2D) mathematical model of quadratically distorted (QD) grating is established with the principles of Fraunhofer diffraction and Fourier optics. Discrete sampling and bisection algorithm are applied for finding numerical…

Optics · Physics 2018-03-22 Yuewei Liu , Yan Feng

The optical diffraction limit, formulated by Abbe 140 years ago, imposes a bound on imaging resolution in classical optics. Over the last twenty years, many theoretical schemes have been presented for overcoming the diffraction barrier in…

Quantum Physics · Physics 2013-07-12 O. Schwartz , J. M. Levitt , R. Tenne , S. Itzhakov , Z. Deutsch , D. Oron

We demonstrate optical interferometry beyond the limits imposed by the photon wavelength using 'triggered' entangled photon pairs from a semiconductor quantum dot. Interference fringes of the entangled biphoton state reveals a periodicity…

Quantum Physics · Physics 2008-03-28 R. M. Stevenson , A. J. Hudson , R. J. Young , P. Atkinson , K. Cooper , D. A. Ritchie , A. J. Shields

High-precision measurements implemented by means of light is desired in all fields of science. However, light is a wave and Rayleigh criterion gives us a diffraction limitation in classical optics which restricts to get arbitrary high…

Quantum Physics · Physics 2015-01-26 Ruifeng Liu , Pei Zhang , Yu Zhou , Hong Gao , Fuli Li

The smallest spot in optical lithography and microscopy is generally limited by diffraction. Quantum lithography, which utilizes interference between groups of N entangled photons, was recently proposed to beat the diffraction limit by a…

Quantum Physics · Physics 2011-12-06 Avi Pe'er , Barak Dayan , Marija Vucelja , Yaron Silberberg , Asher A. Friesem

We demonstrate the first planar Airy light-sheet microscope. Fluorescence light-sheet microscopy has become the method of choice to study large biological samples with cellular or sub-cellular resolution. The propagation-invariant Airy beam…

In most theories of diffraction by a diaphragm, the amplitude of the diffracted wave, and hence the position wave function of the associated particle, is calculated directly without prior calculation of the quantum state. Few models express…

Quantum Physics · Physics 2024-10-29 Bernard Fabbro

We propose a novel quantum diffraction imaging technique whereby one photon of an entangled pair is diffracted off a sample and detected in coincidence with its twin. The image is obtained by scanning the photon that did not interact with…

Quantum Physics · Physics 2019-09-04 Shahaf Asban , Konstantin E. Dorfman , Shaul Mukamel

The Fraunhofer diffraction of quantum particles from materials with sharp electron-density edges or symmetric bond structures is ubiquitous. In contrast, diffraction from atoms with characteristic asymptotically-diffused electron…

We theoretically investigate image propagation and storage in hot atomic vapor. A $4f$ system is adopted for imaging and an atomic vapor cell is placed over the transform plane. The Fraunhofer diffraction pattern of an object in the object…

Quantum Physics · Physics 2009-11-13 L. Zhao , T. Wang , Y. Xiao , S. F. Yelin

We report results of two-photon quantum holography where spatial information stored in phase holograms is retrieved by measuring quantum spatial correlations between two images formed by spatially entangled twin photons with a…

Quantum Physics · Physics 2019-04-03 Fabrice Devaux , Alexis Mosset , Florent Bassignot , Eric Lantz

We demonstrate one- and two-photon diffraction and interference experiments utilizing parametric down-converted photon pairs (biphotons) and a transmission grating. With two-photon detection, the biphoton exhibits a diffraction-interference…

Quantum Physics · Physics 2009-11-07 Ryosuke Shimizu , Keiichi Edamatsu , Tadashi Itoh

We present one- and two-photon diffraction and interference experiments involving parametric down-converted photon pairs. By controlling the divergence of the pump beam in parametric down-conversion, the diffraction-interference pattern…

Quantum Physics · Physics 2009-11-13 Ryosuke Shimizu , Keiichi Edamatsu , Tadashi Itoh

In this paper, we revisit Radlow's highly original attempt at a double Wiener-Hopf solution to the canonical problem of wave diffraction by a quarter-plane. Using a constructive approach, we reduce the problem to two equations, one…

Analysis of PDEs · Mathematics 2021-02-09 Raphael C. Assier , I. David Abrahams

Controlling the photon statistics of light is paramount for quantum science and technologies. Recently, we demonstrated that transmitting resonant laser light past an ensemble of two-level emitters can result in a stream of single photons…

Quantum Physics · Physics 2022-12-20 Martin Cordier , Max Schemmer , Philipp Schneeweiss , Jürgen Volz , Arno Rauschenbeutel

Classical, interferometric, optical lithography is diffraction limited to writing features of a size lambda/2 or greater, where lambda is the optical wavelength. Using nonclassical photon number states, entangled N at a time, we show that…

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