Creates an analytic model for an N^2 Linear profile.
In this profile, the square of the index of refraction is linear. This is a useful profile because its ray paths can be computed analytically and used to test propagation loss modeling accuracy against standard benchmarks. The general form of the N^2 Linear profile is defined as:
n(z) = c0 / c(z)
c(z) = c0 / sqrt( 1 - 2 g0 / c0 * z )
where:
z = depth below the ocean surface (negative is down).
n(z) = index of refraction as a function of depth.
c(z) = speed of sound as a function of depth.
c0 = speed of sound at z=0
g0 = sound speed gradient at z=0 (+ when deeper depths are slower).
- References:
- M. A. Pedersen, D. F. Gordon, "Normal-Mode and Ray Theory Applied
to Underwater Acoustic conditions of Extreme Downward Refraction", J. Acoust. Soc. Am. 51 (1B), 323-368 (June 1972).