Right and left-circularly polarized traveling waves

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.

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.

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[ GA with Cinderella ]

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