Physical Principles & Mathematical Derivation
Isaac Newton demonstrated that white light is a superposition of spectral wavelengths. In dispersive glass, shorter violet wavelengths (~400 nm) experience a higher refractive index than red wavelengths (~700 nm), fanning polychromatic rays into a rainbow.
Questions & Concepts
What physical equation governs Cauchy Chromatic Dispersion & Rainbow Spectrum Ray Simulator?
n(λ) = A + B / λ² ⇒ θ_violet ≠ θ_red — Isaac Newton demonstrated that white light is a superposition of spectral wavelengths. In dispersive glass, shorter violet wavelengths (~400 nm) experience a higher refractive index than red wavelengths (~700 nm), fanning polychromatic rays into a rainbow.
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.