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We employed caustic theory to analyze the propagation dynamics of partially coherent self-accelerating beams such as self-healing of partially coherent Airy beams. Our findings revealed that as the spatial coherence decreases, the…

We study Gaussian wave packet solutions for Maxwell's equations in an isotropic, inhomogeneous medium and derive a system of ordinary differential equations that captures the leading-order correction to geodesic motion. The dynamical…

Analysis of PDEs · Mathematics 2026-03-31 Sam C. Collingbourne , Marius A. Oancea , Jan Sbierski

We experimentally study a nonlinear optical approach to selective manipulation and detection of structured images mixed with turbulent noise. Unlike any existing adaptive-optics method by applying compensating modulation directly on the…

Optics · Physics 2020-10-21 He Zhang , Santosh Kumar , Yu-Ping Huang

A mathematical model for the discrete nonlinear fragmentation (collision-induced breakage) equation with diffusion is studied. The existence of global weak solutions is established in arbitrary spatial dimensions without assuming a strictly…

Analysis of PDEs · Mathematics 2026-03-12 Saumyajit Das , Ram Gopal Jaiswal

We conducted a comprehensive study on the robust propagation of the same spot-size Gaussian beam (SSGB), same envelope Gaussian beam (SEGB), Circular Airy beam (CAB) and Circular Pearcey beam (CPB) in complex environments. Our findings…

Optics · Physics 2023-08-29 Nana Liu , Liu Tan , Kaijian Chen , Peilong Hong , Xiaoming Mo , Bingsuo Zou , Yi Liang

We address the propagation of vortex beams with the circular Airy-Gaussian shape in a (2+1)-dimensional optical waveguide modeled by the fractional nonlinear Schrodinger equation. Systematic analysis of autofocusing of the beams reveals a…

That light propagating in a gravitational field gets frequency-shifted is one of the basic consequences of any metric theory of gravity rooted in the equivalence principle. At the same time, also a time dependent material's refractive index…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Alessio Belenchia , Felix Spengler , Dennis Rätzel , Daniel Braun

Structured light concerns the control of light in its spatial degrees of freedom (amplitude, phase and polarization), and has proven instrumental in many applications. The creation of structured light usually involves the conversion of a…

Optics · Physics 2023-07-19 Stirling Scholes , Valeria Rodríguez-Fajardo , Andrew Forbes

In this work, we demonstrate that the nonlinear response of certain soft-matter systems can be tailored at will by appropriately engineering their optical polarizability. In particular, we deliberately synthesize stable colloidal…

Spatial light modulators are widely used to perform modulations of different properties of the electromagnetic field. In this work, a simple optimization method for general double-pass setups was developed. It takes into account the…

Optics · Physics 2022-02-09 Sebastián Bordakevich , Lorena Rebón , Silvia Ledesma

A strong light pulse propagating in a nonlinear medium causes an effective change in the local refractive index. With a suitable tuning of the pulse velocity, the leading and trailing edge of the pulse were predicted to behave as analogue…

Optics · Physics 2012-08-07 Stefano Finazzi , Iacopo Carusotto

Recent efforts in using 3D Gaussians for scene reconstruction and novel view synthesis can achieve impressive results on curated benchmarks; however, images captured in real life are often blurry. In this work, we analyze the robustness of…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Cheng Peng , Yutao Tang , Yifan Zhou , Nengyu Wang , Xijun Liu , Deming Li , Rama Chellappa

We present the third-order analytic solution of the matter density fluctuation in the proper-time hypersurface of nonrelativistic matter flows by solving the nonlinear general relativistic equations. The proper-time hypersurface provides a…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-22 Jaiyul Yoo , Jinn-Ouk Gong

We analyze the propagation of light in the context of nonlinear electrodynamics, as it occurs in modified QED vacua. We show that the corresponding characteristic equation can be described in terms of a modification of the effective…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Novello , V. A. De Lorenci , J. M. Salim , R. Klippert

Quantum theory of self-phase and cross-phase modulation of ultrashort light pulses in the Kerr medium is developed with taking into account the response time of an electronic nonlinearity. The correspondent algebra of time-dependent…

Quantum Physics · Physics 2007-05-23 F. Popescu , A. S. Chirkin

Nonlinear gyrotropic medium is a medium, whose natural optical activity depends on the intensity of the incident light wave. The Kuhn's model is used to study nonlinear gyrotropic medium with great success. The Kuhn's model presents itself…

Chaotic Dynamics · Physics 2009-11-13 A. Ugulava , L. Chotorlishvili , K. Nickoladze , G. Mchedlishvili

A common criterion in the design of finite Hilbert space frames is minimal coherence, as this leads to error reduction in various signal processing applications. Frames that achieve minimal coherence relative to all unit-norm frames are…

Functional Analysis · Mathematics 2017-07-07 John I. Haas , Peter G. Casazza

The effects of coherence of quantum transitions and the interference of resonant nonlinear optical processes on the spectra of absorption, amplification, and nonlinear-optical generation are considered. The most favorable conditions are…

Quantum Physics · Physics 2007-05-23 A. K. Popov

A plane monochromatic wave propagates in vacuum at the velocity of c. However, wave packets limited in space and time are used to transmit energy and information. Here it has been shown based on the wave approach that the on-axis part of…

Optics · Physics 2019-02-25 N. I. Petrov

We present a model which describes coherent and incoherent processes in continuous-variable atom-light interfaces. We assume Gaussian states for light and atoms and formulate the system dynamics in terms of first and second moments of the…

Quantum Physics · Physics 2008-02-22 M. Koschorreck , M. W. Mitchell