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

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Introduction Handling Surface Reections Details of Exact Integral Equations Results Summary Greene's Function Solution Model Problem Method of Moments Numerical Quadrature Nyström Technique ( ∇ 2 + k 2) G(⃗r,⃗r ′ ) = δ(⃗r −⃗r ′ ) solution is Fredholm Integral Equation ∫ ψ(⃗r) = φ(⃗r) + G(⃗r,⃗r ′ )ρ(⃗r ′ )d⃗r ′ S ( ∇ 2 + k 2) φ(⃗r) = 0 choose plane wave solutions for φ for our case. ψ is the total eld and ξ = ψ − φ is the scattered eld On surface, Dirichelt Boundary condition requires ψ = 0 ∫ φ(⃗r) = − G(⃗r,⃗r ′ )ρ(⃗r ′ )d⃗r ′ S R. Steven Turley It's Rough Reecting Short Wavelengths
Introduction Handling Surface Reections Details of Exact Integral Equations Results Summary Model Problem Method of Moments Numerical Quadrature Nyström Technique Validity of Greene's Function Solution ( ∇ 2 + k 2) ψ = [( ∇ 2 + k 2) φ(⃗r) ] ∫ + ( ∇ 2 + k 2) G(⃗r,⃗r ′ )ρ(⃗r ′ )d⃗r ′ ∫ = [0] + δ(⃗r −⃗r ′ )ρ(⃗r ′ )d⃗r ′ S = ρ(⃗r) S legitimacy of switching order of integration and dierentiation surface should be smooth care required for surface charge distribution less of a problem for Dirichlet boundary conditions 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 25: 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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