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Light-Matter InteractionPhysics and Engineering at the Nanoscale, Second Edition$
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John Weiner and Frederico Nunes

Print publication date: 2017

Print ISBN-13: 9780198796664

Published to Oxford Scholarship Online: March 2017

DOI: 10.1093/acprof:oso/9780198796664.001.0001

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Transmission Lines and Waveguides

Transmission Lines and Waveguides

Chapter:
(p.154) 8 Transmission Lines and Waveguides
Source:
Light-Matter Interaction
Author(s):

John Weiner

Frederico Nunes

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198796664.003.0008

Chapter 8 opens with a discussion of Kirchhoff’s rules in conventional circuit theory. The concept of the transmission line is introduced and parallels are drawn between transmission along a lossless line and plane wave propagation through a uniform dielectric. Various cases of transmission line termination are examined. The waveguide is then introduced and contrasted with the transmission line. TM and TE modes are discussed with reference to rectangular and cylindrical waveguide geometries. Networks of transmission lines and waveguides are then discussed by introducing various matrix methods that emphasise the importance of inputs and outputs while avoiding explicit solution of Maxwell’s equations internally within the network. The chapter ends by establishing the correspondence between classical electromagnetics and circuit properties such as capacitance, inductance, and impedance and material properties and geometries at the nanoscale. This analysis is called equivalent circuits.

Keywords:   transmission line, waveguide, circuits, capacitance, inductance, impedance, TM mode, TE mode, network, matrix methods

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