EM Fields and Waves Demonstrations
Transmission Lines and Waves
Voltage Standing Wave Ratio
Adjust the complex reflection coefficient and watch sixteen faded snapshots of the instantaneous voltage along a transmission line.
VSWR = (1 + |Γ|) / (1 - |Γ|) Open demo → Dispersive mediaDispersive Pulse Propagation
Launch a multi-frequency pulse through a Lorentzian dispersive medium and compare its reshaping with a no-dispersion reference.
n(f) = n0 + S L(f; fr, Γ) Open demo → Shorted lineShorted Transmission Line Fields
Move the source distance and watch the electric-field and magnetic-field standing-wave amplitudes between the source and the short.
E(x)/E0 = sin(βx) / sin(βL) Open demo → Impedance matchingSmith Chart Matching Tool
Place normalized impedance points and track constant-resistance, constant-reactance, and constant-|Γ| moves.
z = (1 + Γ) / (1 - Γ) Open demo →Static Fields
2D Electrostatic Box Fields
Explore a charge-free rectangular region with three grounded walls and a selectable potential profile on the driven wall.
∇2V = 0, E = -grad V Open demo → Dielectric mediaDielectric Sphere Fields
View a central slice through a dielectric sphere in a uniform electric field while varying the sphere permittivity.
β = (εs - εm) / (εs + 2εm) Open demo → Image chargesConducting Sphere Images
Move a point charge near a conducting sphere, set the sphere potential, and compare the real surface charge with its image-charge construction.
q' = -(R/d)q, x' = R2/d Open demo → Planar imagesLine Source at a Material Interface
Vary the ratio between two half-spaces and compare the electric image-charge solution with the dual magnetic line-current construction.
αE = (ε1-ε2) / (ε1+ε2) Open demo →