Abstract
The time-dependent Maxwell equations without displacement current terms are solved above, within, and below a doubly infinite slab of finite conductivity and arbitrary thickness <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">D</tex> with a prescribed current in an infinitely long wire above and parallel to the slab. Closed analytic expressions for the magnetic and electric field above the ground plane are obtained by transform methods in terms of a Laplace transform variable representing time. For finite <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">D</tex> the results in actual time are computed by numerical inversion of the Laplace transform; for <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">D = \infin</tex> they are given analytically to within numerical quadratures. Asymptotic expressions valid for large time and/or large lateral distance from the wire are obtained both for <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">D < \infin</tex> and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">D = \infin</tex> . A summary of numerical results is given.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
