Math, Physics, and Engineering Applets
These are some educational applets I wrote to help visualize various<br>concepts in math, physics, and engineering. They were originally written<br>in Java, but they've mostly been converted to Javascript, so you should be able to view them without<br>a Java-capable browser.
Oscillations and Waves
Ripple Tank (2-D Waves) Applet
Ripple tank simulation that demonstrates wave motion, interference, diffraction, refraction,<br>Doppler effect, etc.
2-D Waves Applet
Demonstration of wave motion in 2-D.
3-D Waves Applet
Demonstration of wave motion in 3-D.
Coupled Oscillations Applet
Demonstration of longitudinal wave motion in oscillators connected by springs.
Dispersion Applet
Dispersion and group velocity.
Acoustics
Loaded String Applet
Simulation of wave motion of a string.
Rectangular Membrane Waves Applet
Vibrational modes in a 2-d membrane.
Circular Membrane Waves Applet
Vibrational modes in a 2-d circular membrane (drum head).
Bar Waves Applet
Bending waves in a bar.
Vowels Applet
The acoustics of speech.
Box Modes Applet
Acoustic standing waves in a 3-d box.
Acoustic Interference Applet
Generates audio interference between your speakers.
Signal Processing
Fourier Series Applet
Frequency analysis of periodic functions.
Digital Filters
Filters digital signals and plays the output on your speakers.
Electricity and Magnetism: Statics
2-D Electrostatics Applet
Demonstrates static electric fields and steady-state current<br>distributions.
2-D Electrostatic Fields Applet
Demonstrates electric fields in various 2-D situations; also shows<br>Gauss's law.
3-D Electrostatic Fields Applet
Demonstrates electric fields in various 3-D situations.
3-D Magnetostatic Fields Applet
Demonstrates magnetic fields in various situations.
Electric Motor
Electric Generator
Electrodynamics
2-D Electrodynamics Applet (TE)
Demonstrates electromagnetic radiation.
2-D Electrodynamics Applet (TM)
Demonstrates electromagnetic radiation, induction, and magnetostatics.
Analog Circuit Simulator Applet
Demonstrates various electronic circuits.
Analog Filter Applet
Demonstrates electronic filter circuits.
Cavity Modes Applet
Electromagnetic waves in a 3-d rectangular cavity.
Waveguide Modes Applet
Electromagnetic waves in a waveguide.
Antenna Applet
Generates antenna radiation patterns.
Fresnel Diffraction Applet
Generates Fresnel diffraction patterns.
Fermat's Principle
Snell's law. Shortest optical path wins.
Quantum Mechanics
Hydrogen Atom Applet
Shows the orbitals (wave functions) of the hydrogen atom.
Molecular Orbitals Applet
Shows the orbitals (wave functions) of the hydrogen molecular ion.
1-D Quantum Mechanics Applet
Single-particle quantum mechanics states in one dimension.
1-D Quantum Crystal Applet
Periodic potentials in one dimension.
2-D Quantum Crystal Applet
Periodic potentials in two dimensions.
1-D Quantum Transitions Applet
Radiative transitions (absorption and stimulated emission) in one dimension.
Atomic Dipole Transitions Applet
Radiative transitions (absorption and stimulated emission) in atoms.
2-D Rectangular Square Well Applet
Rectangular square well (particle in a box) in two dimensions.
2-D Circular Square Well Applet
Circular square well in two dimensions.
2-D Quantum Harmonic Oscillator Applet
Harmonic oscillator in two dimensions.
Quantum Rigid Rotator Applet
Particle confined to the surface of a sphere.
3-D Quantum Harmonic Oscillator Applet
Harmonic oscillator in three dimensions.
Linear Algebra
Dot Product Applet
Demonstrates the dot product or scalar product of two vectors.
Matrix Applet
Demonstrates 2-d transformations using a matrix.
Vector Calculus
2-D Vector Fields Applet
Demonstrates various properties of vector fields, including<br>divergence and curl, etc.
3-D Vector Fields Applet
Demonstrates vector fields in 3 dimensions. Includes the Lorenz<br>Attractor and Rossler Attractor.
Thermodynamics
Gas Molecules Simulation Applet
Demonstrates the kinetic theory of gases.
Heat Engine
Carnot cycle and other thermodynamic cycles.
Mechanics
Harmonic Oscillator
Driving forces, resonance.
Coriolis Force
Rotating reference frames.
Foucault Pendulum
Demonstrates earth's rotation.
Orbital Rendezvous
Pilot your ship to meet up with a target ship in a different orbit.
Lagrange Points
Three-body problem.
Symmetrical Top
Rigid body motion of tops and gyroscopes.
Miscellaneous
Ordinary Differential Equations Applet
Visual differential equation solver.
Euler's Equation Applet
Demonstrates Taylor series expansion of complex exponentials.
Discrete Fourier Transform
Fourier transform in two dimensions.
Ray Optics Simulation
A ray optics simulator by Rick Tu and Johnson (with some contributions from me)
Thermal Camera Pictures
Some sample pictures taken with a thermal (infrared) camera. (This is not<br>an applet but I thought I'd throw it in here anyway.)
Licensing info.
Links to other...