Jump to ContentJump to Main Navigation
Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics$
Users without a subscription are not able to see the full content.

G. F. Roach, I. G. Stratis, and A. N. Yannacopoulos

Print publication date: 2012

Print ISBN-13: 9780691142173

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691142173.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2017. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in HSO for personal use (for details see http://www.universitypressscholarship.com/page/privacy-policy).date: 17 December 2017

Homogenisation

Homogenisation

Chapter:
(p.275) Chapter Fourteen Homogenisation
Source:
Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics
Author(s):

G. F. Roach

I. G. Stratis

A. N. Yannacopoulos

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691142173.003.0014

This chapter presents a theory of homogenisation for random bianisotropic media exhibiting an ergodic structure. It shows that for such a medium there exists a homogenised system of the Maxwell type. To begin, the chapter presents an introduction to the necessary notions from the theory of ergodicity that will be used in this treatment of homogenisation. It then showcases a model for a random complex medium, on which this chapter's analysis will be based. The chapter also details a formal two-scale approach to set ideas and understand the basic mechanisms that will lead to a homogenised system, as well as to identify the coefficients of the homogenised system. Finally, this chapter presents some rigorous results on the homogenisation of random complex electromagnetic media.

Keywords:   homogenisation, random bianisotropic media, ergodicity, random complex medium, two-scale approach, homogenised system, random complex electromagnetic media

Princeton 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.