Geometric Optics

Convex Passenger-Side & Security Mirror Wide-Field Simulator

See why automotive side mirrors warn "Objects in mirror are closer than they appear" by tracing diminished virtual images behind a convex surface.

Real-Time RK4 Kinematic / Dynamical Waveform Recorder

Physical Principles & Mathematical Derivation

f = −R / 2 < 0 ⇒ Virtual, Upright, Reduced Image

A convex mirror diverges reflected rays, compressing a wide panoramic field of view into an upright, reduced virtual image located behind the mirror surface.

Questions & Concepts

What physical equation governs Convex Passenger-Side & Security Mirror Wide-Field Simulator?

f = −R / 2 < 0 ⇒ Virtual, Upright, Reduced Image — A convex mirror diverges reflected rays, compressing a wide panoramic field of view into an upright, reduced virtual image located behind the mirror surface.

How are the equations of motion integrated in this simulation?

Nonlinear differential equations are integrated at 240–300 Hz substeps using classical 4th-order Runge-Kutta (RK4) to maintain strict Hamiltonian energy accuracy.

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