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Right and left-circularly polarized traveling waves

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Left part of the image:

The left-handed yellow wave helix shows the traveling wave form.
This wave form is said to have negative helicity. The geometric algebra expression for it is:

q_omega (x,t) = a_omega exp(-**i**(omega t - kx)),

with a_omega the constant vector amplitude in the **-i**-bivector plane.
The set of green vectors shows how a vector at x=0 would rotate with varying t.

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Right part of the image:

This side is the mirror image of the left part of the image. The mirror is indicated by the light blue line.
The right-handed yellow wave helix shows the traveling wave form.
This wave form is said to have positive helicity. The geometric algebra expression for it is:

q_omega (x,t) = a_omega exp(**i**(omega t - kx)),

with a_omega the constant vector amplitude in the **i**-bivector plane.

The set of green vectors shows how a vector at x=0 would rotate with varying t.

Compare the interactive view.

[ GA with Cinderella ]

Soli Deo Gloria. Created with Cinderella
by Eckhard Hitzer (Fukui).