Acoustic Scattering from a Sphere - Steve Turley

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Penetrable Sphere, a=10.0,kf=1.5,rhof=1.510 6 theta, degrees10 510 4d sigma/d omega10 310 210 110 010 −110 −20 20 40 60 80 100 120 140 160 180Figure 14: Dierential cross section for scattering from a penetrable sphere of radius 10 wavelengths withk d /k = 1.5 and ρ d /ρ = 1.5.30
Figure 15: Total near eld for scattering from a penetrable sphere of radius 2.5 wavelengths and with k d = 1.2and ρ d = 1.2.31
Page 2 and 3: 8 Dierential cross section for scat
Page 4 and 5: 1.4 Solutions in Spherical Coordina
Page 6 and 7: 3 Scattering TheoryOne of the rst t
Page 8 and 9: Substituting the value for s nm fro
Page 10 and 11: Series Approach As the the soft sph
Page 12 and 13: function j=sphj(n,x)% compute the s
Page 14 and 15: 20Soft Sphere, a=1.0181614d sigma/d
Page 16 and 17: Soft Sphere, a=10.010 6 theta, degr
Page 18 and 19: % It always uses a minimum of 5 ter
Page 20 and 21: 5.2.1 Far FieldThe function hard co
Page 22 and 23: 6Hard Sphere, a=1.05d sigma/d omega
Page 24 and 25: Hard Sphere, a=10.010 5 theta, degr
Page 26 and 27: % decrease rapidly. Taking 2ka term
Page 28 and 29: 20Penetrable Sphere, a=1.0,kf=1.5,r

Acoustic Scattering from a Sphere - Steve Turley

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