Where decreases outwards, it increases as a surface ray travels inward, so no surface ray turns inside that interval. Penetrating rays may traverse it and turn deeper. The radius is then not a single-valued function of , and angular ray data constrain combined branch contributions rather than the single function inverted by Herglotz–Wiechert inversion. Additional structural or observational information is needed to locate the hidden profile.

Ancestors (11)

  1. Herglotz–Wiechert inversion
  2. Spherical elastic ray invariant
  3. Elastic ray
  4. Ray tracing
  5. Dispersion relation
  6. Wave equation
  7. Partial differential equation
  8. Analysis
  9. Area of mathematics
  10. Mathematics
  11. Home

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