It's Rough Reflecting Short Wavelengths - Physics and Astronomy ...

Introduction
Handling Surface Reections
Details of Exact Integral Equations
Results
Summary
Scalar Wave Equation
Model Problem
Method of Moments
Numerical Quadrature
Nyström Technique
(
∇ 2 − 1
c 2 ∂ 2
∂ t 2 )
ξ (⃗r,t) = 0
separation of variables (or Fourier Transform)
ξ (⃗r,t) = ψ(⃗r)τ(t)
c 2 τ(t)∇ 2 ψ(⃗r) − ψ(⃗r)τ ′′ (t) = 0
c 2 ∇2 ψ( ⃗ r)
ψ(⃗r)
− τ′′ (t)
τ(t) = 0 .
set both terms equal to −ω 2 = −k 2 c 2
R. Steven Turley It's Rough Reecting Short Wavelengths