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

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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
Introduction Handling Surface Reections Details of Exact Integral Equations Results Summary Single Frequency Solutions Model Problem Method of Moments Numerical Quadrature Nyström Technique ( ∇ 2 + k 2) ψ(⃗r) = ρ(⃗r) τ ′′ (t) = −ω 2 τ(t) τ(t) = e ±iωt use e iωt and allow negative frequencies restrict solution to single frequency (and wavelength) general time-domain solutions built by superposition R. Steven Turley It's Rough Reecting Short Wavelengths
Page 1 and 2: Introduction Handling Surface Reect
Page 5 and 6: Challenges Introduction Handling Su
Page 7 and 8: Simplications Introduction Handling
Page 9 and 10: Scattering Process Introduction Han
Page 11 and 12: Ray Optics Introduction Handling Su
Page 17 and 18: Reected Intensity Rough Plate, kL=2
Page 23: Introduction Handling Surface Reect
Page 33 and 34: Trapezoidal Rule Introduction Handl
Page 37 and 38: Notes on Solutions Introduction Han
Page 41 and 42: Future Work Introduction Handling S
Page 45 and 46: Summary Introduction Handling Surfa

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

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