Jump to ContentJump to Main Navigation
Light-Matter InteractionPhysics and Engineering at the Nanoscale$
Users without a subscription are not able to see the full content.

John Weiner and Frederico Nunes

Print publication date: 2012

Print ISBN-13: 9780198567653

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780198567653.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 05 June 2020

Transmission Lines, Waveguides, and Equivalent Circuits

Transmission Lines, Waveguides, and Equivalent Circuits

(p.117) 4 Transmission Lines, Waveguides, and Equivalent Circuits
Light-Matter Interaction

Weiner John

Frederico Nunes

Oxford University Press

This chapter starts with a discussion of the two Kirchhoff rules, one for voltage and the other for current, that serve as the basis for lumped-element circuit theory. The quasistatic approximation is presented to establish the criteria for ‘subwavelength’ interaction. At the nanoscale, ‘subwavelength’ means structures (and lumped RLC components) of the order of tens of nanometers. Next, the generalisation of the localised lumped-circuit idea to an infinitely repeating group of such structures to form a transmission line is introduced. After the consideration of special termination cases (matched load, shorted line, open line, etc.) the concept of waveguides in one and two dimensions is explained. Two principal geometries — rectangular and cylindrical — are discussed at length. Finally, the combination of several transmission lines or waveguides into a network and the realisation of such networks at the nanoscale are discussed. The analysis of these two-port networks in terms of ‘equivalent circuits’ provides the capstone to this chapter. The correspondence between plane waves and transmission lines is presented.

Keywords:   Kirchhoff rules, quasistatic approximation, transmission lines, waveguide, equivalent circuits, nanometers

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .