Huygens' Principle - Interactive Visualization

Interactive visualization of wave propagation, secondary wavelets, and wavefront envelope construction

Wavefront Type: Planar
Propagation Time: 0.00 s
Wave Speed: 100 px/s
Wavelength: 80 px
Wave Frequency: 1.0 Hz

Real-time Parameters

Number of Points 15
Point Spacing 40 px
Wave Speed 100 px/s
Wave Frequency 1.0 Hz

Legend

Original Wavefront
Secondary Wavelets
New Wavefront (Envelope)

Wave Parameters

Wavefront Settings

Display Settings

Animation Settings

Huygens' Principle

Principle: Each point on a wavefront acts as a source of secondary spherical wavelets
Wavelet: Secondary waves spread outward in all directions
New Wavefront: The envelope of all secondary wavelets forms the new wavefront
Wave Speed: v = λ · f (wavelength × frequency)

What is Huygens' Principle?

Huygens' Principle, proposed by Dutch physicist Christiaan Huygens in 1678, states that every point on a wavefront acts as a source of secondary spherical wavelets. These wavelets spread outward in all directions at the same speed as the original wave. The new wavefront at a later time is the envelope (tangent surface) of all these secondary wavelets.

Key Concepts

Wavefront: A surface connecting points of equal phase in a wave. Can be planar (flat), spherical (from a point source), or cylindrical. Secondary Wavelets: Each point on the wavefront emits spherical waves that propagate outward. Envelope Construction: The new wavefront is formed by drawing a line tangent to all the secondary wavelets.

Applications and Phenomena

Huygens' Principle explains many wave phenomena: Diffraction - bending of waves around obstacles, Reflection - angle of incidence equals angle of reflection, Refraction - bending of waves when changing media (Snell's Law), Interference - superposition of multiple waves. It's fundamental to understanding optics, acoustics, and all wave phenomena in physics.

Visualization Guide

This interactive tool demonstrates Huygens' Principle by showing how a wavefront propagates. Select between planar (linear) and circular wavefronts. Observe how each point on the original wavefront generates secondary circular wavelets. The red dashed line shows the new wavefront formed by the envelope of these wavelets. Adjust the number of points, spacing, and wave speed to see how the principle works under different conditions.