Advanced Ground Truth Multimodal Imaging Using Time Reversal (TR) Based Nonlinear Elastic Wave Spectroscopy (NEWS): Medical Imaging Trends Versus Non-destructive Testing Applications

Santos, Serge Dos

doi:10.1007/978-3-030-35202-8_4

Cited by 4 publications

(4 citation statements)

References 64 publications

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“…In the calculation of convolutions we use semigroup splitting method of Trotter [33]. The differential equation ẏ = f (y) in R n is split as ẏ = f [1] (y) + f [2] (y), and exact flows ϕ t and ϕ [2] t of ẏ = f [1] (y) and ẏ = f [2] (y), respectively are calculated. The functions connects initial value y 0 and final value y 2 , via different paths.…”

Section: Symmetries In Propagation Of Solitary Waves In Mattersmentioning

confidence: 99%

“…transformations were than by using Mathematica [12] and a computer at the RCNP. The reduced velocity V = V (1) +V (2) are parametrized as [6]…”

Section: A Convolution Of 1d Complex Wave Functionsmentioning

confidence: 99%

“…In non destructive testing (NDT), time reversal (TR) based nonlinear elastic wave spectroscopy (NEWS) [1,2] is an efficient method to detect scatterers of ultra high frequency phonons in materials.…”

Section: Introductionmentioning

confidence: 99%

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Application of Quaternion Neural Network to Time Reversal Based Nonlinear Elastic Wave Spectroscopy

Furui¹,

Santos²

2020

Preprint

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An application of quaternion neural network to identification of crack positions in materials using the time reversal based nonlinear elastic wave spectroscopy (TR-NEWS) is proposed.Transducers which emit forward propagating solitonic waves and time-reversed backward propagating solitonic waves are produced by memristers, are placed on a line of the left wall and scattered by cracks in the material and received by receivers which are placed on the right wall on the line parallel to that of transducers.By minimizing the difference of the scattered forward propagating wave and the scattered backward propagating wave, we get information of the position of the crack by using the neural network technique. Route of the solitons are expressed by 2 dimensional projective quaternion functions, and parameters for getting the optimal route from signals are expected to be reduced.When the soliton is expressed by conformal waves, symmetry protected topological inpurities and gravitational effects would manifest itself due to Atiyah-Patodi-Singer's theorem. [1] T. Goursolle, S. Dos Santos, O. Bou Matar and S. Calle, Non-linear based time reversal acoustic applied to crack detection: Simulations and experiments, International Journal of Non-linear Mechanics, 43 170-177 (2008).

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Section: Symmetries In Propagation Of Solitary Waves In Mattersmentioning

confidence: 99%

“…transformations were than by using Mathematica [12] and a computer at the RCNP. The reduced velocity V = V (1) +V (2) are parametrized as [6]…”

Section: A Convolution Of 1d Complex Wave Functionsmentioning

confidence: 99%

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Application of Quaternion Neural Network to Time Reversal Based Nonlinear Elastic Wave Spectroscopy

Furui¹,

Santos²

2020

Preprint

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“…Applications of memoducers to nondestructive testing is recently reviewed by Dos Santos [193]. Analysis of noise in zero-mode solutions of circuits was performed in [192].…”

Section: A Conformality In Quaternion Projective Spacementioning

confidence: 99%

Supersymmetry in Hadron Spectroscopy and Solitons in 2 Dimensional Fermionic Media

Furui

2020

Preprint

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An overview of hadron spectroscopy obtained from an extension of superconformal field theory of de Alfaro, Fubini and Furlan, which originates from the supergauge transformation of Wess and Zumino and influenced on the string theory are preseted.The standard model of hadron dynamics is based on gauge theory. In the 4 dimensional (4D) QCD Lagrangian, the Faddeev-Popov ghost that appears to compensate unphysical degrees of freedom in internal fermion propagators can be regarded as the partner of a fermion. Donaldson formulated a 5D gauge theory.Fubini and Rabinovici formulated superconformal quantum mechanics in de Sitter space, and Brodsky and de Téramond formulated relativistic light front holographic QCD (LFHQCD) in Kaluza-Klein type 5D anti de Sitter (AdS) space, using Dirac's light cone gauge, and succeeded in obtaining spectroscopy of baryons (fermions) and corresponding mesons (bosons), except the pion which is an axial scalar meson that remains massless.In the LFHQCD, the time parameter τ = t ± z/c, (z ∈ C) appears by the choice of the light-cone gauge, or the front form of Dirac's formulation. The theory is an extension of AdS/CFT correspodence of Maldacena in which incorporation of Einstein's gravity theory in Maxwell's electromagnetic theory was tried in the framework of the string theory.Taking mathematical frameworks of treating the supersymmetry by Brodsky, Witten, Connes and their collaborators as central thema, we summarize other supersymmetric approaches like string theory in particle physics and astrophysics. We discuss about 2 dimensional solitons whose dynamics is represented also by τ = t ± z/c, (z ∈ pure quaternionH).

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Application of Quaternion Neural Network to Time Reversal Based Nonlinear Elastic Wave Spectroscopy

Furui

Santos

2023

Trans Indian Natl. Acad. Eng.

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Advanced Ground Truth Multimodal Imaging Using Time Reversal (TR) Based Nonlinear Elastic Wave Spectroscopy (NEWS): Medical Imaging Trends Versus Non-destructive Testing Applications

Cited by 4 publications

References 64 publications

Application of Quaternion Neural Network to Time Reversal Based Nonlinear Elastic Wave Spectroscopy

Application of Quaternion Neural Network to Time Reversal Based Nonlinear Elastic Wave Spectroscopy

Supersymmetry in Hadron Spectroscopy and Solitons in 2 Dimensional Fermionic Media

Application of Quaternion Neural Network to Time Reversal Based Nonlinear Elastic Wave Spectroscopy

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