volume | PIER Journals

2017-10-30

Harmonically Time Varying, Traveling Electromagnetic Fields Along a Laminate Approximated by a Homogeneous, Anisotropic Block with Infinite Length

Birger Marcusson,

Mr. Birger Marcusson

Engineering Sciences/Electricity

Uppsala University

Sweden

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Claes Urban Lundin

Dr. Claes Urban Lundin

Department of Engineering Sciences

Uppsala University

Sweden

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Progress In Electromagnetics Research B, Vol. 79, 65-81, 2017

doi:10.2528/PIERB17081706

Abstract

Analytical expressions that include arbitrarily directed fields on all laminate boundaries can be used for calculation of the fields inside the laminate when the boundary fields are known from, e.g., measurements. A linear laminate block could be used in non-destructive testing for comparisons between different laminates. This article contains derivation of Fourier series of harmonically time varying, traveling electromagnetic fields in homogeneous, anisotropic approximations of laminates. The component of the magnetic field strength in the stacking direction is used as a source term in twodimensional Poisson equations for the magnetic field strength in other directions. This approximation is here used in three dimensions under the precondition that the conductivity is much smaller in the laminate stacking direction than in the other directions. Sine interpolation and different choices of types of boundary conditions are discussed. Different alternative subdivisions of the Poisson boundary value problems are treated. Shorted derivations of simple analytical expressions are given for both traveling and standing waves in two dimensions. Results from Fourier series in the three-dimensional case are compared with results from finite element calculations.

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Birger Marcusson, and Claes Urban Lundin, "Harmonically Time Varying, Traveling Electromagnetic Fields Along a Laminate Approximated by a Homogeneous, Anisotropic Block with Infinite Length," Progress In Electromagnetics Research B, Vol. 79, 65-81, 2017.
doi:10.2528/PIERB17081706

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