Optical Rotation (2D): Circular-Component Phasor Model

This 2D companion to the 3D polarimeter builds the same phenomenon — the rotation of a light beam's polarization plane by a chiral solution — from a different, more fundamental starting point: instead of drawing a pre-rotated arrow along the beam, it decomposes the linearly polarized wave into two real counter-rotating circular components with a genuinely different wavenumber (circular birefringence, Δn = n_L − n_R), sums those two vectors back together every animation frame, and shows the resultant's fixed axis rotating steadily with depth exactly as Biot's law predicts. A live phasor inset draws the two spinning component vectors at the exit face so the mechanism — not just the outcome — is visible, alongside a virtual analyzer that recovers the rotation angle via Malus's law the same way a real saccharimeter does.