Table 1.
Theories used in this paper for the effective wave speed and attenuation in a frozen medium as ϵ → 0, and their range of validity.
| Theory | Validity range | ki | ceff |
|---|---|---|---|
| Keller 1964 | ϵ ≪ 1 |
 |
 |
| Born (2nd order) |
 |
 |
 |
| Homogenization | k0a ≪ 1 | Not applicable |
 |
| Geometrical optics | k0a ≫ 1,  , ϵ ≪ 1 (#) |
Not applicable | cray = ⟨c−1⟩−1 ≃ c0(1 − ϵ2) |
Notes. The Keller and the Born theories are for medium 1. ( † )Approximation for k0a > 1 of Rytov et al. (1989a) who made the derivation for a Gaussian autocorrelation function and single scattering. ( ‡ )The dominant term is that of Keller for small perturbations (see for example Fig. F.1). (#)See Rytov et al. (1989b).
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.