uwacan.propagation.cutoff_frequency

cutoff_frequency(water_depth, substrate_compressional_speed=inf, speed_of_sound=1500)

Calculate cutoff frequency for shallow waters.

For shallow waters, the long distance cutoff describes a frequency below which there will be no waveguide.

Parameters:

water_deptharray_like

The water depth, in meters.

substrate_compressional_speedarray_like

The speed of sound in the seabed, in m/s.

speed_of_soundarray_like, default=1500

The speed of sound in the water, in m/s.

Notes

This is evaluated as [1]:

speed_ratio = speed_of_sound / substrate_compressional_speed
speed_of_sound / (water_depth * 4 * (1 - speed_ratio**2)**0.5)

This means that the cutoff frequency goes up for softer substrates, and up for shallower depths.

References

[1]

F. B. Jensen, Wi. A. Kuperman, M. B. Porter, and H. Schmidt, “Computational Ocean Acoustics”, 2nd ed. Springer New York, 2011. Eq. (1.38).