New perspective on the optical theorem of classical electrodynamics

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A proof of the optical theorem (also known as the optical cross-section theorem) is presented, which reveals the intimate connection between the forward scattering amplitude and the absorption-plus-scattering of the incident wave within the scatterer. The oscillating charges and currents as well as the electric and magnetic dipoles of the scatterer, driven by an incident plane wave, extract energy from the incident beam. The same oscillators radiate electromagnetic energy into the far field, thus giving rise to well-defined scattering amplitudes along various directions. The essence of the proof presented here is that the extinction cross-section of an object can be related to its forward scattering amplitude using the induced oscillations within the object without knowledge of the form assumed by these oscillations.

Original languageEnglish (US)
Pages (from-to)329-333
Number of pages5
JournalAmerican Journal of Physics
Volume80
Issue number4
DOIs
StatePublished - Mar 23 2012

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electrodynamics
scattering amplitude
theorems
forward scattering
scattering
oscillations
cross sections
magnetic dipoles
electric dipoles
far fields
extinction
plane waves
oscillators
electromagnetism
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

New perspective on the optical theorem of classical electrodynamics. / Mansuripur, Masud.

In: American Journal of Physics, Vol. 80, No. 4, 23.03.2012, p. 329-333.

Research output: Contribution to journalArticle

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