Guessing the Texture of Magnetic Samples Assisted by Aharonov-Bohm Effect
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Date
2016
Authors
Valagiannopoulos, Constantinos
Alu, A.
Dimakis, A.
Marengo, E. A.
Journal Title
Journal ISSN
Volume Title
Publisher
IEEE
Abstract
Aharonov-Bohm (AB) effect is a very significant
phenomenon of quantum mechanics. It demonstrates the significance
of electromagnetic potentials (proportional to fluxes)
against the electromagnetic fields through the simple paradigm
of two electron beams (e-beams). Even though they are both
traveling through a null field space, their wave functions are
not equal: the difference is in their phases and it is related to
the magnetic flux through the area defined by their trajectories.
Inspired by this fact, we formulate an inverse problem for the
magnetic permeability of a bio-chemical sample positioned inbetween
two magnets. The data can be taken by measuring
the phase difference between the wave functions of two split
e-beams with parallel trajectories passing through the samples.
The case of only radial dependence of magnetic permeability is
fully solved and certain insights are provided for the arbitrary
radial/azimuthal distributions.
Description
Keywords
Research Subject Categories::NATURAL SCIENCES::Physics, Aharonov-Bohm Effect, Inverse Problem, Magnetic Permeability
Citation
Constantinos Valagiannopoulos, A. Al`u, A. Dimakis and E. A. Marengo. 2016. Guessing the Texture of Magnetic Samples Assisted by Aharonov-Bohm Effect. 2016 10th European Conference on Antennas and Propagation (EuCAP). http://nur.nu.edu.kz/handle/123456789/1618