Wave Lab

complex field · 3 instruments

Place coherent sources and a measurement probe in a steady-state complex pressure field. Wave speed, frequency, phase, and attenuation determine the magnitude and phase at every point.

Switch between instantaneous pressure and RMS energy, then read the oscilloscope, complex phasor sum, and far-field directivity together to study interference, active cancellation, and phased arrays.

Helmholtz field · 10.0 × 6.25 m

Complex wave field

steady-state solution

λ 1.559 m · k 4.03 rad/m

probe SPL −3.0 dB

complex p 0.00 + 0.00i

2 coherent sources

drag a source or the PROBE to move the measurement point

Time domain · Probe waveformRMS 0.000

Complex plane · Phasor sumΣ 0.00 ∠ 0°

Far field · DirectivityDI 0.0 dB

Live interpretation

p(x) = Σ Aₙ e^{j(φₙ−krₙ)} / √rₙ