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Periodic electromagnetic fields for finding the propagation constant of coaxial air lines with surface roughness and ohmic wall loss

Donald R Holt

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Maxwell's equations in the context of Floquet's theorem for construction of a sequence of periodic precision air lines with surface roughness and ohmic resistance in the conductor walls offer a solution for finding the propagation constants in correspondence to the principal transverse magnetic mode. Boundary conditions to define surface roughness and ohmic wall loss through a tangent surface vector expression to incorporate composite axial and radial electromagnetic field components enable the construction of a system determinant to extract the propagation constant.


PACS

03.50.De Classical electromagnetism, Maxwell equations

06.20.fb Standards and calibration

84.40.Az Waveguides, transmission lines, striplines

41.20.Jb Electromagnetic wave propagation; radiowave propagation

Subjects

Accelerators, beams and electromagnetism

Electronics and devices

Instrumentation and measurement

Particle physics and field theory

Dates

Issue 3 (June 2009)

Received 20 December 2007, in final form 14 November 2008

Published 2 February 2009



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