Abstract
Hestenes spacetime algebra is used as a formalism for Light Polarization. A plane-like wave solution to the Maxwell equation in free space is studied. Its energy-momentum density is structurally related to the Poincaré sphere equation, Stoke’s parameters, and coherency matrices; while its energy momentum is that of light-like particles. The wave is leftcircularly polarized while its spatial inverse is right-circularly polarized. It is conjectured that other polarization states may be obtained by superposing left- and right-ircularly polarized states through Fourier Analysis.
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Sugon, Q.M., McNamara, D. (2002). A Hestenes Spacetime Algebra Approach to Light Polarization. In: Dorst, L., Doran, C., Lasenby, J. (eds) Applications of Geometric Algebra in Computer Science and Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0089-5_26
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DOI: https://doi.org/10.1007/978-1-4612-0089-5_26
Publisher Name: Birkhäuser, Boston, MA
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