Calculate she compressibility (\(\kappa\)) of a scattering boundary/interface.

Calculates the compressibility contrast (\(\kappa\)) between a scattering interface and the surrounding medium. Compressibility is defined as: $$ K = \frac{1}{\rho c^2} $$ where \(\rho\) is density (\(kg~m^{-3}\)) and \(c\) is sound speed (\(m~s^{-1}\)).

The compressibility contrast is then: $$ \kappa = \frac{K_2 - K_1}{K_1} $$

where \(K_1\) is the compressibility of the medium and \(K_2\) is that of the target interface.

Usage

compressibility(medium, target)

Arguments

medium

Dataframe object containing density (\(kgm^{-3}\)) and sound speed (\(ms^{-1}\)) values for a fluid medium external to a scattering interface (e.g., seawater).

target

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

Value

Compressibility contrast (\(\kappa\)), dimensionless.