Multibeam echosounder

Footprint Size

Calculate the nadir footprint dimensions and total area from transmit and receive beamwidths and sonar altitude.

Diagram showing sonar footprint across-track and along-track dimensions at nadir
Variables
BWrx Receiver (across-track) beamwidth, degrees
BWtx Projector (along-track) beamwidth, degrees
D Sonar altitude (depth to target)
Dxt Footprint across-track diameter = 2D·tan(BWrx/2)
Dat Footprint along-track diameter = 2D·tan(BWtx/2)
A Total footprint area = π·D²·tan(BWtx/2)·tan(BWrx/2)
Range: 0.05 – 15
Range: 0.05 – 15
Range: 0.1 – 11,000
Footprint Across-track Diameter
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Footprint Along-track Diameter
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Total Area of Footprint
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These results are informational only. This calculator assumes a nadir (vertical) beam and does not account for beam steering, water-column refraction, or system-specific effects. Footprint dimensions grow with off-nadir angle; use appropriate sonar documentation for outer-beam estimates. MosaicHydro accepts no liability for decisions made based on this tool.
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