Letters

Do extended effective-medium formulas scale properly?

[+] Author Affiliations
Craig F. Bohren

Department of Meteorology, Pennsylvania State Univerity, 503 Walker Building, University Park, PA 16802

J. Nanophoton. 3(1), 039501 (June 2, 2009). doi:10.1117/1.3157171
History: Received May 26, 2009; Accepted May 27, 2009; June 2, 2009; Online June 02, 2009
Text Size: A A A

Abstract

The original Bruggeman and Maxwell Garnett formulas for the average dielectric function of a composite medium satisfy a scaling law: if the dielectric functions of both components are scaled by the same factor, the average dielectric function scales by this factor. These formulas are independent of the size of polarizable elements. Extended formulas explicitly account for size, but at least one formula fails to satisfy the scaling law, a likely failing of all such formulas.

© 2009 Society of Photo-Optical Instrumentation Engineers

Topics

Composites

Citation

Craig F. Bohren
"Do extended effective-medium formulas scale properly?", J. Nanophoton. 3(1), 039501 (June 2, 2009). ; http://dx.doi.org/10.1117/1.3157171


Figures

Tables

Access This Article
Sign in or Create a personal account to Buy this article ($20 for members, $25 for non-members).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging & repositioning the boxes below.

Related Book Chapters

Topic Collections

PubMed Articles
Advertisement
  • Don't have an account?
  • Subscribe to the SPIE Digital Library
  • Create a FREE account to sign up for Digital Library content alerts and gain access to institutional subscriptions remotely.
Access This Article
Sign in or Create a personal account to Buy this article ($20 for members, $25 for non-members).
Access This Proceeding
Sign in or Create a personal account to Buy this article ($15 for members, $18 for non-members).
Access This Chapter

Access to SPIE eBooks is limited to subscribing institutions and is not available as part of a personal subscription. Print or electronic versions of individual SPIE books may be purchased via SPIE.org.