Geometric Optics

Concave Spherical Mirror Reflection & Telescope Optics Lab

Explore reflection ray tracing on a converging spherical mirror used in astronomical telescopes, solar concentrators, and cosmetic mirrors.

Real-Time RK4 Kinematic / Dynamical Waveform Recorder

Physical Principles & Mathematical Derivation

f = +R / 2, 1 / f = 1 / dₒ + 1 / dᵢ

Unlike lenses, spherical mirrors focus light purely by reflection without chromatic aberration — which is why flagship observatories like James Webb and Hubble rely on concave primary mirrors.

Questions & Concepts

What physical equation governs Concave Spherical Mirror Reflection & Telescope Optics Lab?

f = +R / 2, 1 / f = 1 / dₒ + 1 / dᵢ — Unlike lenses, spherical mirrors focus light purely by reflection without chromatic aberration — which is why flagship observatories like James Webb and Hubble rely on concave primary mirrors.

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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