Special Section on Nanostructures Honoring Craig F. Bohren

How does zero forward-scattering in magnetodielectric nanoparticles comply with the optical theorem?

[+] Author Affiliations
Andrea Alu

University of Texas at Austin, Department of Electrical and Computer Engineering, 1 University Station C0803, Austin, Texas 78712

Nader Engheta

University of Pennsylvania, Department of Electrical and Systems Engineering, 200 South 33rd Street, Philadelphia, Pennsylvania 19104-6314

J. Nanophoton. 4(1), 041590 (May 19, 2010). doi:10.1117/1.3449103
History: Received December 1, 2009; Revised April 27, 2010; Accepted May 3, 2010; May 19, 2010; Online May 19, 2010
Text Size: A A A

Abstract

A few decades ago, Kerker et al. [J. Opt. Soc. Am. 73, 765-767 (1983)] theoretically pointed out the interesting possibility of conceiving small magnetodielectric spheres that may provide zero scattering in the forward direction, despite significantly larger scattering in any other direction. Recent experimental and theoretical papers on the topic have further discussed this possibility in more realistic scenarios. Inspecting some of their analyses, it seems indeed possible to conceive nanoparticles characterized by a scattering pattern with a sharp minimum, although not zero, in the forward direction. From a theoretical standpoint, however, it is well known that the total scattered power from any object has to be proportional to a portion of the scattered field in the forward direction, implying that very small or zero forward scattering should be synonymous to even smaller or zero total scattering, regardless of the nature of the object and of its design. Using analytical theory and an accurate scattering formulation, we clarify the nature of this apparent paradox and the limitations of this anomalous phenomenon in terms of particle size. In this way, we shed some new light on theoretical and experimental papers on the topic, identifying relevant missteps in some of their physical interpretation, and considering the general possibility of verifying these effects. This discussion may also be relevant to some cloaking applications using exotic artificial materials.

© 2010 Society of Photo-Optical Instrumentation Engineers

Citation

Andrea Alu and Nader Engheta
"How does zero forward-scattering in magnetodielectric nanoparticles comply with the optical theorem?", J. Nanophoton. 4(1), 041590 (May 19, 2010). ; http://dx.doi.org/10.1117/1.3449103


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.