A spectrally accurate algorithm for

electromagnetic scattering in three dimensions

M. Ganesh  and S. C. Hawkins

(Numerical Algorithms, 43:25-60, 2006)

Figures from the paper by GH

NASA almond and ogive benchmark targets for validation of the electromagnetic scattering scattering algorithm.

    Bean and fountain shaped obstacles for validation of the electromagnetic scattering scattering algorithm.

Normalized echo area of the unit sphere  with HH-polarization (low frequency;  o, exact; +, numerical).

Normalized echo area of the unit sphere  with HH-polarization (medium/high frequency;  o, exact; +, numerical).

Bistatic RCS of the Unit  sphere at 1.0GHz with H-H polarization at
observed angles  $\theta = pi/2,  \phi \in [0,180]$. (o, exact;  +, numerical.)

Bistatic RCS of the Unit  sphere at 1.0GHz with H-H polarization at
observed angles  $\theta = pi/2,  \phi \in [0,180]$. (o, exact;  +, numerical.)

Monostatic RCS  for bean shaped obstacle (of electromagnetic size 24 times the incident wavelength)
at 1.8GHz with H-H polarization.


              

Bistatic RCS for bean shaped obstacle (of electromagnetic size 24 times the incident wavelength)
at 1.8GHz with H-H polarization.

 Exterior electric field induced by a plane wave  impinging on  bean shaped obstacle
(of electromagnetic size  24 times the incident wavelength) at frequency w = 1.8GHz
 with direction d_0 = (1, 0, 0) and poliarzation p_0=-(0,0,1) at time t = 0.61/w.

Intensity of the total  electric field and surface current (left colorbar values)
induced by a plane wave  impinging on  bean shaped obstacle
(of electromagnetic size  24 times the incident wavelength) at frequency w = 1.8GHz
 with direction d_0 = (1, 0, 0) and poliarzation p_0=(0,0,-1) at time t = 0.61/w.

Monostatic RCS  for fountain shaped obstacle (of electromagnetic size 24 times the incident wavelength)
at 3.0GHz with V-V polarization.

Bistatic RCS for fountain shaped obstacle (of electromagnetic size 24 times the incident wavelength)
at 3.0GHz with H-H polarization.

Exterior electric field induced by a plane wave  impinging on  fountain shaped obstacle
(of electromagnetic size  24 times the incident wavelength) at frequency w = 3.0GHz
 with direction d_0 = (1, 0, 0) and poliarzation p_0=(0,0,-1) at time t = 0.61/w.

Intensity of the total  electric field and surface current (left colorbar values)
induced by a plane wave  impinging on  fount shaped obstacle
(of electromagnetic size  24 times the incident wavelength) at frequency w = 3.0GHz
 with direction d_0 = (1, 0, 0) and poliarzation p_0=(0,0,-1) at time t = 0.61/w.

Monostatic RCS  for benchmark NASA almond target (of electromagnetic size one incident wavelength)
at 1.19GHz with H-H and V-V polarization  at observed angles  $\phi \in [0,180]$.

Monostatic RCS  for benchmark NASA almond target (of electromagnetic size 2.5 times the incident wavelength)
at 3.0GHz with H-H and V-V polarization  at observed angles  $\phi \in [0,180]$.

Monostatic RCS  for benchmark NASA almond target (of electromagnetic size 5.9 times the incident wavelength)
at 3.0GHz with V-V  polarization  at observed angles  $\phi \in [0,180]$.

Monostatic RCS  for benchmark ogive target (of electromagnetic size one incident wavelength)
at 1.18GHz with H-H  and V-V polarization  at observed angles  $\phi \in [0,180]$.

Monostatic RCS  for benchmark ogive target (of electromagnetic size 7.6 times the incident wavelength)
at 9.0GHz with H-H  and V-V polarization  at observed angles  $\phi \in [0,180]$.