Scale-Invariant Waveguiding in Flatland. [PDF]
Exploration (Beijing)The study introduces scale‐invariant metasurface waveguides with uniform modal field distribution and an effective index independent of the core width. By leveraging spatial symmetry and fine‐tuning mode profiles, the design is validated through near‐field measurements in the C band, offering potential applications in flat optics, sensing, and ...
Xu Z +5 more
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A brief historical perspective of the Wiener-Hopf technique [PDF]
, 2007 It is a little over 75 years since two of the most important mathematicians of the 20th century collaborated on finding the exact solution of a particular equation with semi-infinite convolution type integral operator.
Abrahams, ID, Lawrie, JB
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A Constructive Method for Approximate Solution to Scalar Wiener-Hopf Equations [PDF]
, 2015 This paper presents a novel method of approximating the scalar Wiener-Hopf equation; and therefore constructing an approximate solution. The advantages of this method over the existing methods are reliability and explicit error bounds.
Kisil, Anastasia V.
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On the factorization of a class of Wiener-Hopf kernels [PDF]
, 1995 This is a pre-copy-editing, author-produced PDF of an article accepted for publication in IMA Journal of Applied Mathematics following peer review. The definitive publisher-authenticated version: Abrahams, I.D. & Lawrie, J.B. (1995) “On the factorisation
Abrahams, ID, Lawrie, JB
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A Novel Approach to Solving Line Source Diffraction Caused by Perfectly Conducting Successive Steps [PDF]
Journal of Electromagnetic Engineering and ScienceIn this study, a new unconventional approach that departs from the classical method is proposed to solve the modified scalar Wiener–Hopf equation of the third kind with regard to the diffraction problem of cylindrical waves caused by perfectly conducting
Kadir Durgut +2 more
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Majorana edge states in Kitaev chains of the BDI symmetry class
SciPost Physics Core, 2023 Majorana edge states in Kitaev chains possessing an effective time reversal symmetry with one fermionic site per unit cell are studied. For a semi-infinite chain the equations for the wave functions of Majorana zero modes can be reduced to a single ...
Anton Bespalov
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Wiener-Hopf factorization and distribution of extrema for a family of L\'{e}vy processes [PDF]
, 2010 In this paper we introduce a ten-parameter family of L\'{e}vy processes for which we obtain Wiener-Hopf factors and distribution of the supremum process in semi-explicit form. This family allows an arbitrary behavior of small jumps and includes processes
Kuznetsov, Alexey
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Sliding Window Evaluation of the Wiener-Hopf Equation [PDF]
Radioengineering, 2020 This paper presents an efficient method for solving the Wiener-Hopf equation in a sliding window by calculating the correlation matrices recursively. Furthermore, a novel algorithm is introduced for evaluating the inverse of the auto-correlation matrix -
A. Kraker, B. Csuka, Zs. Kollar
doaj
A Generalization of the Wiener-Hopf Integral Equation [PDF]
Proceedings of the National Academy of Sciences, 1946 Not ...
Heins, Albert E., Wiener, Norbert
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Filtering and Smoothing for Linear Discrete-Time Distributed Parameter Systems Based on Wiener-Hopf Theory with Application to Estimation of Air Pollution [PDF]
, 1981 Optimal filtering and smoothing algorithms for linear discrete-time distributed parameter systems are derived by a unified approach based on the Wiener-Hopf theory.
Omatu, Sigeru, Seinfeld, John H.
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