Bretschneider Spectrum - Spectral Density

Spectral density S(ω) of the two-parameter Bretschneider spectrum at angular frequency ω given significant wave height H_s and modal period T_p.

BretschneiderSpectrumWave

Significant wave heightmModal period

T_p

sAngular frequency ωrad/s

Spectral density: 2.052m²·s/rad

Changing the inputs requires JavaScript. The calculator above shows its default inputs and result. The formula, symbols, and regulatory sources are shown in the Formula section below.

Formula, assumptions, and limits

S(\omega) = \frac{A}{\omega^5} \exp(-B/\omega^4)

Symbol	Meaning	Unit
$H_s$	Significant wave height	m
$T_p$	Modal (peak) period	s
$\omega$	Angular frequency	rad/s

Source: Bretschneider C.L. - US Army CERC 1959

In short

Spectral density S(\u03c9) of the two-parameter Bretschneider spectrum at angular frequency \u03c9 given significant wave height H_s and modal period T_p.

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