The Experts below are selected from a list of 189 Experts worldwide ranked by ideXlab platform
Timor Melamed - One of the best experts on this subject based on the ideXlab platform.
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Gaussian beam propagator scattering by a fast moving perfectly conducting circular cylinder
2013Co-Authors: Eliran Mizrahi, Timor MelamedAbstract:This contribution is concerned with deriving the canonical scattering of a time-harmonic electromagnetic Gaussian propagator from a fast moving perfectly conducting circular cylinder under the framework of Einstein's Special Relativity. The incident electromagnetic wave objects in this contribution serve as the basis wave propagators of the frame-based phase space beam summation method, which is a general framework for analyzing radiation from extended sources. The incident Gaussian beam propagator is readily given by its plane wave spectral representation in the laboratory frame. By utilizing the Lorentz Transformation and applying Maxwell's boundary conditions in the co-moving frame, we obtain an exact solution for the scattered fields vector potentials in the form of spectral integrals. The later are evaluated asymptotically for high frequencies (of the incident field) and transformed back to the laboratory frame via the Inverse Lorentz Transformation.
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Plane wave spectral analysis of scattering of an EM Gaussian beam by a moving PEC circular cylinder
2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, 2012Co-Authors: Eliran Mizrahi, Timor MelamedAbstract:This contribution is concerned with deriving the canonical scattering of a time-harmonic electromagnetic Gaussian propagator from a fast moving PEC circular cylinder under the framework of Einstein's Special Relativity. The incident electromagnetic wave objects in this contribution serve as the basis wave propagators of the frame-based phase-space beam summation method, which is a general framework for analyzing radiation from extended sources. Both the TE and TM polarized Gaussian propagators are considered by applying plane wave spectral representation to the incident field in the laboratory frame. By utilizing the Lorentz Transformation and applying Maxwell's boundary conditions in the co-moving frame, we obtain an exact solution for the scattered fields vector potentials in the form of spectral integrals. The later are transformed back to the laboratory frame via the Inverse Lorentz Transformation.
Jakub Czajko - One of the best experts on this subject based on the ideXlab platform.
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On conjugate complex time III: Superstrings and complex Lorentz Transformation
Chaos Solitons & Fractals, 2001Co-Authors: Jakub CzajkoAbstract:Abstract Starting with El Naschie's ideas of complex conjugate time the Inverse Lorentz Transformation of time rate is extended onto an internal gravity (artificially induced accelerations) and then expanded onto an external gravitational field. This result raises the total number of physically identifiable distinct dimensions to six. It also implies that the physical reality we live in looks like abstract multispatial geometric structure composed of several single 3D spaces. This conclusion suggests that there are few more physical dimensions to be uncovered. In such a multispatial hyperspace any particle pictured as a point in linear vector space could be viewed as a string or even as a surface in a space that is dual to the primary one.
Eliran Mizrahi - One of the best experts on this subject based on the ideXlab platform.
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Gaussian beam propagator scattering by a fast moving perfectly conducting circular cylinder
2013Co-Authors: Eliran Mizrahi, Timor MelamedAbstract:This contribution is concerned with deriving the canonical scattering of a time-harmonic electromagnetic Gaussian propagator from a fast moving perfectly conducting circular cylinder under the framework of Einstein's Special Relativity. The incident electromagnetic wave objects in this contribution serve as the basis wave propagators of the frame-based phase space beam summation method, which is a general framework for analyzing radiation from extended sources. The incident Gaussian beam propagator is readily given by its plane wave spectral representation in the laboratory frame. By utilizing the Lorentz Transformation and applying Maxwell's boundary conditions in the co-moving frame, we obtain an exact solution for the scattered fields vector potentials in the form of spectral integrals. The later are evaluated asymptotically for high frequencies (of the incident field) and transformed back to the laboratory frame via the Inverse Lorentz Transformation.
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Plane wave spectral analysis of scattering of an EM Gaussian beam by a moving PEC circular cylinder
2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, 2012Co-Authors: Eliran Mizrahi, Timor MelamedAbstract:This contribution is concerned with deriving the canonical scattering of a time-harmonic electromagnetic Gaussian propagator from a fast moving PEC circular cylinder under the framework of Einstein's Special Relativity. The incident electromagnetic wave objects in this contribution serve as the basis wave propagators of the frame-based phase-space beam summation method, which is a general framework for analyzing radiation from extended sources. Both the TE and TM polarized Gaussian propagators are considered by applying plane wave spectral representation to the incident field in the laboratory frame. By utilizing the Lorentz Transformation and applying Maxwell's boundary conditions in the co-moving frame, we obtain an exact solution for the scattered fields vector potentials in the form of spectral integrals. The later are transformed back to the laboratory frame via the Inverse Lorentz Transformation.
Guillaume Faye - One of the best experts on this subject based on the ideXlab platform.
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Lorentzian regularization and the problem of point-like particles in general relativity
Journal of Mathematical Physics, 2001Co-Authors: Luc Blanchet, Guillaume FayeAbstract:The two purposes of the article are (1) to present a regularization of the self-field of point-like particles, based on Hadamard’s concept of “partie finie,” that permits in principle to maintain the Lorentz covariance of a relativistic field theory, and (2) to use this regularization for defining a model of stress-energy tensor that describes point-particles in post-Newtonian expansions (e.g., 3PN) of general relativity. We consider specifically the case of a system of two point-particles. We first perform a Lorentz Transformation of the system’s variables which carries one of the particles to its rest frame, next implement the Hadamard regularization within that frame, and finally come back to the original variables with the help of the Inverse Lorentz Transformation. The Lorentzian regularization is defined in this way up to any order in the relativistic parameter 1/c2. Following a previous work of ours, we then construct the delta-pseudo-functions associated with this regularization. Using an action p...
Faye G - One of the best experts on this subject based on the ideXlab platform.
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Lorentzian regularization and the problem of point-like particles in general relativity
2000Co-Authors: Blanchet L, Faye GAbstract:The two purposes of the paper are (1) to present a regularization of the self-field of point-like particles, based on Hadamard's concept of ``partie finie'', that permits in principle to maintain the Lorentz covariance of a relativistic field theory, (2) to use this regularization for defining a model of stress-energy tensor that describes point-particles in post-Newtonian expansions (e.g. 3PN) of general relativity. We first perform a Lorentz Transformation which carries a particle with some instantaneous velocity to its rest frame, next implement the Hadamard regularization within that frame, and finally come back to the original variables with the help of the Inverse Lorentz Transformation. The Lorentzian regularization is defined in this way up to any order in the relativistic parameter 1/c^2. Following a previous work of ours, we then construct the delta-pseudo-functions associated with this regularization. Using an action principle, we derive the stress-energy tensor, made of delta-pseudo-functions, of point-like particles. The equations of motion take the same form as the geodesic equations of test particles on a fixed background, but the role of the background is now played by the regularized metric
