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The Talbot self-imaging phenomenon is a fundamental interference effect that is natural to all waves with a periodic structure. We theoretically and experimentally study the Talbot effect for optical waves in the transverse angular domain…

Optics · Physics 2024-07-17 Matias Eriksson , Benjamin A. Stickler , Robert Fickler

The Talbot effect describes the emergence of periodic patterns in perturbed propagating wave fields. The effect is well studied for perturbations from structurally coherent optics such as diffraction gratings. The emergence of freeform and…

Optics · Physics 2026-05-25 Robin Krüger , Jeevan Rois , Martin Bech , Matias Kagias

Manipulating elastic waves using a transformation approach is challenging due to the complex constitutive relationship. However, for flexural waves, approximated as scalar waves, two straightforward approaches emerge based on geometric…

Applied Physics · Physics 2023-07-27 Pengfei Zhao , Liyou Luo , Yongquan Liu , Jensen Li

The paper addresses an important issue of cloaking transformations for fourth-order partial differential equations representing flexural waves in thin elastic plates. It is shown that, in contrast with the Helmholtz equation, the general…

Classical Physics · Physics 2015-12-22 D. J. Colquitt , M. Brun , M. Gei , A. B. Movchan , N. V. Movchan , I. S. Jones

Metamaterials with the transformation method has greatly promoted the development in achieving invisibility and illusion for various classical waves. However, the requirement of tailor-made bulk materials and extreme constitutive parameters…

Classical Physics · Physics 2017-07-26 Yongquan Liu , Zixian Liang , Fu Liu , Owen Diba , Alistair Lamb , Jensen Li

The governing equation for elastic waves in flexural plates is not form invariant, and hence designing a cloak for such waves faces a major challenge. Here, we present the design of a perfect broadband cloak for flexural waves through the…

Classical Physics · Physics 2017-06-28 Ahmad Zareei , Mohammad-Reza Alam

We demonstrate the temporal Talbot effect for trapped matter waves using ultracold atoms in an optical lattice. We investigate the phase evolution of an array of essentially non-interacting matter waves and observe matter-wave collapse and…

Transformation optics (TO) has been used to propose various novel optical devices. With the help of metamaterials, several intriguing designs, such as invisibility cloaks, have been implemented. However, as the basic units should be much…

Optics · Physics 2017-07-20 Xiangyang Wang , Huanyang Chen , Hui Liu , Lin Xu , Chong Sheng , Shining Zhu

A frequency comb generated from a phase-modulated continuous-wave laser is simultaneously subject to the temporal Talbot effect and modulational instability (MI) when propagating through a piece of optical fiber. The temporal Talbot effect…

Optics · Physics 2026-02-17 Marina Zajnulina

The Talbot effect has been known in optics since XIX century and found various technological applications. In this paper, we demonstrate with the help of micromagnetic simulations this self-imaging phenomenon for spin waves propagating in a…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 M. Golebiewski , P. Gruszecki , M. Krawczyk , A. E. Serebryannikov

Transformation optics offers an unconventional approach to the control of electromagnetic fields. A transformation optical structure is designed by first applying a form-invariant coordinate transform to Maxwell's equations, in which part…

It is known that design of elastic cloaks is much more challenging than the design idea for acoustic cloaks, cloaks of electromagnetic waves or scalar problems of anti-plane shear. In this paper, we address fully the fourth-order problem…

Classical Physics · Physics 2015-06-19 M. Brun , D. J. Colquitt , I. S. Jones , A. B. Movchan , N. V. Movchan

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

In recent times, we experimentally realized a quite efficient modeling of the shape of diffraction-resistant optical beams; thus generating for the first time the so-called Frozen Waves (FW), whose longitudinal intensity pattern can be…

We present a new method to create an active cloak for a rigid inclusion in a thin plate, and analyse flexural waves within such a plate governed by the Kirchhoff plate equation. We consider scattering of both a plane wave and a cylindrical…

Classical Physics · Physics 2014-03-05 J. O'Neill , O. Selsil , R. C. McPhedran , A. B. Movchan , N. V. Movchan

A novel microwave photonic scheme for secure data transmission in optical networks is proposed. The security of the scheme is guaranteed by physical encryption and decryption via the temporal Talbot effect in dispersive mediums. First, the…

Optics · Physics 2024-07-15 Chulun Lin , Taixia Shi , Yiqing Liu , Yang Chen

Excerpt: We apply the wavelet transform to the fractal Talbot effect in both diffraction and fiber dispersion. In the first case, the self similar character of the transverse paraxial field at irrational multiples of the Talbot distance is…

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

In this paper, we propose practicable GLHUA invisible cloaks, our cloak absorb the incident wave and create outgoing wave that make them to be invisible cloaks and analytical electromagnetic (EM) wave without exceeding light speed…

General Physics · Physics 2020-04-15 Jianhua Li , Feng Xie , Lee Xie , Ganquan Xie

Forces transmitted by bones are routinely studied in human biomechanics, but it is challenging to measure them non-invasively, especially outside of laboratory settings. We introduce a technique for non-invasive, in vivo measurement of…

Quantitative Methods · Quantitative Biology 2026-05-04 Ali Yawar , Daniel H. Aslan , Daniel E. Lieberman

We introduce two-dimensional (2D) linear and nonlinear Talbot effects. They are produced by propagating periodic 2D diffraction patterns and can be visualized as 3D stacks of Talbot carpets. The nonlinear Talbot effect originates from 2D…

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