Self-acceleration in non-Hermitian systems

Yüce, C.; Turker, Z.

doi:10.1016/j.physleta.2017.05.012

Cited by 7 publications

(5 citation statements)

References 41 publications

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“…Before discussing this point, we remind the reader about the self-accelerating waves, which is a non-integrable mathematical solution and hence physically impossible to be realized. However, it was shown that such solutions can still be used as nondiffracting waves up to a large distance if they were truncated [18,19]. In a similar fashion, we claim that our solution can also be used to construct non-diffracting beams.…”

Section: Continuous Family Of Stationary Solutions At the Exceptional...supporting

confidence: 60%

Diffraction-free beam propagation at the exceptional point of non-Hermitian Glauber Fock lattices

Yüce¹,

Ramezani²

2020

Preprint

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We construct localized beams that are located at the edge of a non-Hermitian Glauber Fock (NGF) lattice made of coupled waveguides and can propagate for a long distance without almost no diffraction. Specifically, we calculate the closed-form of the eigenstates at the exceptional point of a semi-infinite NGF lattice composed of waveguides which are coupled in a unidirectional manner. We use the closed-form solution to construct the non-diffracting beams in finite NGF lattices. We provide a numerical approach to find other lattices that are capable of supporting non-diffracting beams at an exceptional point.

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Section: Continuous Family Of Stationary Solutions At the Exceptional...supporting

confidence: 60%

Diffraction-free beam propagation at the exceptional point of non-Hermitian Glauber Fock lattices

Yüce¹,

Ramezani²

2020

Preprint

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“…Before discussing this point, we remember the selfaccelerating waves, which is a non-integrable mathematical solution and hence physically impossible to be realized. However, it was shown that such solutions can still be used as nondiffracting waves up to a large distance if they were truncated [28,29]. In a similar fashion, we state that the solutions for the semi-infinite lattice can be used to construct non-diffracting beams in the finite lattices.…”

Section: Continuous Family Of Stationary Solutionsmentioning

confidence: 65%

Diffraction-free beam propagation at the exceptional point of non-Hermitian Glauber Fock lattices

Yüce¹,

Ramezani²

2022

J. Opt.

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We construct localized beams in a non-Hermitian Glauber Fock (NGF) lattice of coupled waveguides and show that they can propagate for a long distance without almost no diffraction. We specifically obtain the diffraction-free beams in a finite NGF lattice at the exceptional point (EP) by using the exact eigenstates of the semi-infinite unidirectional NGF lattice. We provide a numerical approach to finding other lattices that are capable of supporting non-diffracting beams at EPs.

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“…As a result, in Hermitian systems, self-acceleration happens exclusively for non-integrable waves. It was recently demonstrated that it happens even for integrable waves in non-Hermitian systems [2], and the new wave packets were produced using the inverted harmonic potential eigenstates in [3]. These novel wave packets contain boundless energy and a distinct self-focusing property.…”

mentioning

confidence: 99%

Density prediction of self-accelerating waves

2023

IJANSER

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Self-accelerating waves have attracted a lot of attention not merely in terms of principles and practical demonstrations, but also in terms of a diverse variety of applications. Some of these applications are filamentation, biomedical imaging, particle manipulation, material processing and plasmons. In this paper, we study the prediction of maximum points of self-accelerating waves. We predict maximum points of the self-accelerating waves. We apply machine learning algorithm to predict the maximum point. We use two machine learning algorithm Decision Tree Classifying and Logistic Regression. The data is processed in python programming using two main Machine Learning Algorithm namely Decision Tree Algorithm and Logistic Regression which shows the best algorithm among these two in terms of accuracy level of maximum point of a self-accelerating wave.

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Self-acceleration in non-Hermitian systems

Cited by 7 publications

References 41 publications

Diffraction-free beam propagation at the exceptional point of non-Hermitian Glauber Fock lattices

Diffraction-free beam propagation at the exceptional point of non-Hermitian Glauber Fock lattices

Diffraction-free beam propagation at the exceptional point of non-Hermitian Glauber Fock lattices

Density prediction of self-accelerating waves

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