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Calculate the density contrast (\(\rho\)) of a scattering boundary

Usage

rho(medium, target)

Arguments

medium

Dataframe object containing density (\(kgm^{-3}\)) and sound speed (\(ms^{-1}\)) values for the external medium.

target

Dataframe object containing density (\(kgm^{-3}\)) and sound speed (\(ms^{-1}\)) values for the target boundary.

Value

Density contrast, defined as \((\rho_{target} - \rho_{medium})/\rho_{target}\).

Examples

seawater <- data.frame(density = 1026, sound_speed = 1480)
animal <- data.frame(density = 1050, sound_speed = 1530)
rho(seawater, animal)
#> [1] 0.02285714