Global controls
Equal frequency spacing gives a clean periodic signal with T = 1 / Δf.
Presets manual
Shape presets fit the directly measurable intensity |E(t)|². Amplitude presets reshape the spectral magnitudes while keeping phase flat.
No preset has been applied yet.
Line controls
Editable amplitude and phase values. Phases are in degrees and may exceed ±180°.
Interactive plots
3D phasor representation
Resultant periodic intensity envelope
Interpretation notes
The solid curve is the physical intensity envelope |E(t)|². For intensity-target presets, the dotted curve shows the intended normalized intensity profile.
In the 3D phasor plot, each laser line is drawn as a complex coefficient A exp(iφ) at its frequency offset. The in-phase axis is the real projection A cos(φ), and the quadrature axis is the imaginary projection A sin(φ). A phase of 0 and 2π therefore represents the same point on the circle.
With only a limited number of lines, discontinuous targets cannot be exact. Square and sawtooth targets show finite-bandwidth rounding and ringing, while triangle-like targets are usually cleaner because their Fourier coefficients decay faster. Increasing the active line count from 8 toward 16 generally improves the approximation.