Left-circularly polarized traveling wave

The right-handed yellow wave helix can both be understood as rigidly rotation about the yellow equilibrium x-axis or moving rigidly along the axis with velocity omega/k. 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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Soli Deo Gloria. Created with Cinderella by Eckhard Hitzer (Fukui).