#### Title

Multiconductor transmission lines in multilayered dielectric media over a gridded ground plane

#### Date of Award

1993

#### Degree Type

Dissertation

#### Degree Name

Doctor of Philosophy (PhD)

#### Department

Electrical Engineering and Computer Science

#### Advisor(s)

Roger F. Harrington

#### Keywords

Bethe's small aperture theory

#### Subject Categories

Electrical and Computer Engineering

#### Abstract

We consider multiconductor transmission lines in multilayered dielectric media for which the normal ground plane is replaced by a gridded ground plane. The gridded ground plane consists of uniform arrays of holes running parallel to the transmission lines. They are treated using Bethe's small aperture theory, which replaces each hole with an equivalent set of electric and magnetic dipoles. Arrays of holes, running parallel to the transmission lines, are then two-dimensionalized using a Fourier series method developed here. This two-dimensional approximation we dub the average dipole density approximation. With this in hand, the charge on each conductor and the bound charge at each dielectric interface are obtained using a standard subsectional basis and the appropriate boundary conditions. This determines the electro-static capacitance matrix. The inductance matrix is obtained by artificially imposing a set of conditions which yield a modified freespace capacitance matrix. This modified matrix is the inverse of the inductance matrix. Sample calculations are presented for different geometries.

#### Access

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#### Recommended Citation

Gerald, James A., "Multiconductor transmission lines in multilayered dielectric media over a gridded ground plane" (1993). *Electrical Engineering and Computer Science - Dissertations.* Paper 216.

http://surface.syr.edu/eecs_etd/216

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