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All solutions of the no-birefringence conditions for nonlinear electrodynamics are found. In addition to the known Born-Infeld and Plebanski cases, we find a ``reverse Born-Infeld'' case, which has a limit to Plebanski, and an…

High Energy Physics - Theory · Physics 2023-02-01 Jorge G. Russo , Paul K. Townsend

A new characterization of conformal transformations is given. By use of this, the general form of conformal transformation on two-dimensional Minkowski space is given and its conformal structure is analyzed.

Differential Geometry · Mathematics 2013-11-07 Do-Hyung Kim

Electrostatic bender optics are derived up to second order (third order in fields and the Hamiltonian) and applied to the proposed EDM proton ring. The results for linear optics agree with those already presented by V.\ Lebedev (Nov.\ 18,…

Accelerator Physics · Physics 2015-08-04 R. Baartman

The optical path lengths travelled by rays across a wavefront essentially determine the resulting phase front irrespective of the shape of a medium according to the principle of equal optical path. Thereupon we propose a method for the…

Optics · Physics 2015-06-03 Yougang Ke , Weixing Shu , Hailu Luo , Shuangchun Wen , Dianyuan Fan

We extend the concept of shortcut to adiabaticity to full-wave optics and provide application to the design of an ultra-compact waveguide junction. In particular, we introduce a procedure allowing one to synthesize a purely dielectric…

Optics · Physics 2017-06-06 Giuseppe Della Valle , Gerardo Perozziello , Stefano Longhi

In this paper we introduce an optical approximation into the theory of impedance calculation, one valid in the limit of high frequencies. This approximation neglects diffraction effects in the radiation process, and is conceptually…

Accelerator Physics · Physics 2008-11-26 G. Stupakov , K. L. F. Bane , I. Zagorodnov

By mapping the strong interaction between Rydberg excitations in ultra-cold atomic ensembles onto single photons via electromagnetically induced transparency, it is now possible to realize a nonlinear optical medium which exhibits a strong…

Quantum Physics · Physics 2016-07-08 Ofer Firstenberg , Charles S. Adams , Sebastian Hofferberth

We extend the transformation-optics paradigm to a complex spatial coordinate domain, in order to deal with electromagnetic metamaterials characterized by balanced loss and gain, giving special emphasis to parity-time (PT) symmetric…

A detailed theoretical study of the optical absorption in self-assembled quantum dots is presented in this paper. A rigorous atomistic strain model as well as a sophisticated electronic band structure model are used to ensure accurate…

We obtain exact, simple and very compact expressions for the linearization coefficients of the products of orthogonal polynomials; both the conventional Clebsch-Gordan-type and the modified version. The expressions are general depending…

Classical Analysis and ODEs · Mathematics 2023-06-09 A. D. Alhaidari

We generalize the geometrical model of transformation optics to Rieman-Cartan space with torsion by introducing topological defects in physical space. By relaxing the integrable condition, we show explicitly that the generalized equivalent…

The development of emerging technologies in quantum optics demands accurate models that faithfully capture genuine quantum effects. Mature semiclassical approaches reach their limits when confronted with quantized electromagnetic fields,…

The photon model of light has been known for decades to be self-inconsistent and controversial theory with numerous intrinsic conflicts. This paper revises the model and explores its applicability for description of classical…

General Physics · Physics 2021-06-16 Yuriy Akimov , Pavlo Rutkevych

End-to-end optimization, which simultaneously optimizes optics and algorithms, has emerged as a powerful data-driven method for computational imaging system design. This method achieves joint optimization through backpropagation by…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Chi-Jui Ho , Yash Belhe , Steve Rotenberg , Ravi Ramamoorthi , Tzu-Mao Li , Nicholas Antipa

While practical realizations of optical invisibility have been achieved so far by various ingenious methods, they generally rely on complex materials which prevent the wide implementation of such schemes. Here, we propose an alternative…

Optics · Physics 2018-12-17 Zeki Hayran , Ramon Herrero , Muriel Botey , Hamza Kurt , Kestutis Staliunas

This paper presents a variational and multisymplectic formulation of both compressible and incompressible models of continuum mechanics on general Riemannian manifolds. A general formalism is developed for non-relativistic first-order…

Differential Geometry · Mathematics 2008-11-26 Jerrold E. Marsden , Sergey Pekarsky , Steve Shkoller , Matthew West

The increasing use of freeform optical surfaces raises the demand for optical design tools developed for generalized systems. In the design process surface-by-surface aberration contributions are of special interest. The expansion of the…

Optics · Physics 2025-12-02 Mateusz Oleszko , Ralf Hambach , Herbert Gross

The dispersive optical-model is applied to transfer reactions. A systematic study of $(d,p)$ reactions on closed-shell nuclei using the finite-range adiabatic reaction model is performed at several beam energies and results are compared to…

Nuclear Theory · Physics 2011-10-25 N. B. Nguyen , S. J. Waldecker , F. M. Nunes , R. J. Charity , W. H. Dickhoff

We consider transformation-optics based cloaking in acoustic and electromagnetic scattering. The blueprints for an ideal cloak use singular acoustic and electromagnetic materials, posing server difficulties to both theoretical analysis and…

Analysis of PDEs · Mathematics 2014-09-03 Hongyu Liu , Gunther Uhlmann

We construct a semiclassical theory for propagation of an optical wavepacket in non-conducting media with periodic structures of dielectric permittivity and magnetic permeability, i.e., non-conducting photonic crystals. We employ a…

Optics · Physics 2008-11-26 Masaru Onoda , Shuichi Murakami , Naoto Nagaosa