MWC Sze et al: Elliptically polarized lightwaves using geom. alg.: is e-m conserved?


Oblique superposition of two elliptically polarized lightwaves using geometric algebra: is energy-momentum conserved?

Dear Dr. Hitzer,

Please post the following info in GA Net Updates:

Michelle Wynne C. Sze, Quirino M. Sugon, Jr., and Daniel J. McNamara,
Oblique superposition of two elliptically polarized lightwaves using geometric algebra: is energy-momentum conserved?,
J. Opt. Soc. Am. A 27, 2468-2479 (2010). doi:10.1364/JOSAA.27.002468

Abstract

In this paper, we use Clifford (geometric) algebra Cl3,0 to verify
if electromagnetic energy-momentum density is still conserved for
oblique superposition of two elliptically polarized plane waves with
the same frequency. We show that energy-momentum conservation is valid
at any time only for the superposition of two counter-propagating
elliptically polarized plane waves. We show that the time-average
energy-momentum of the superposition of two circularly polarized waves
with opposite handedness is conserved regardless of the propagation
directions of the waves. And, we show that the resulting momentum
density of the superposed waves generally has a vector component
perpendicular to the momentum densities of the individual waves.

(c) 2010 Optical Society of America

History
Original Manuscript: July 29, 2010
Manuscript Accepted: September 18, 2010
Revised Manuscript: September 12, 2010
Published: October 22, 2010

Sincerely yours,

Dr. Quirino M. Sugon Jr.

ateneophysicsnews.wordpress.com

geometricalgebra.wordpress.com

Manila Observatory
Upper Atmosphere Division
Ateneo de Manila University Campus
Loyola Heights, Quezon City
Tel. 4266001 local 4850

Source: Email by Dr. Quirino M. Sugon Jr. (26 Oct. 2010), qsugon_at_observatory.ph

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