Surface current distribution induced on a conducting flat square plate under plane wave illumination

 

 

 

Case 1:  square plate illuminate by an orthogonally impinging plane wave having the electric field polarized along x

 

 

 

Distribution of the dominant component of the surface current

 

Cut AA' 60 triangular patches y / lambda |Jx| / |Hinc| 1.443182e-02 1.861508e+00 4.517530e-02 1.075862e+00 7.497910e-02 1.049823e+00 1.047849e-01 1.065987e+00 1.347603e-01 1.736325e+00

Cut BB' 60 triangular patches x / lambda |Jx| / |Hinc| 2.496620e-02 7.719789e-01 5.004572e-02 9.847629e-01 7.497910e-02 1.049823e+00 9.976700e-02 9.812263e-01 1.246880e-01 7.789933e-01

Cut AA' 90 rectangular patches (Glisson) y / lambda |Jx| / |Hinc| 7.750723e-03 2.320275e+00 1.605307e-02 1.570469e+00 2.453537e-02 1.255246e+00 3.290064e-02 1.181843e+00 4.140739e-02 1.129472e+00 4.977624e-02 1.094621e+00 5.814542e-02 1.063274e+00 6.651688e-02 1.056461e+00 7.502755e-02 1.046146e+00 8.339933e-02 1.042836e+00 9.177307e-02 1.060555e+00 1.001484e-01 1.095798e+00 1.086634e-01 1.131044e+00 1.170387e-01 1.166286e+00 1.254196e-01 1.261108e+00 1.338165e-01 1.527659e+00 1.415666e-01 2.340924e+00

Cut BB' 90 rectangular patches (Glisson) x / lambda |Jx| / |Hinc| 0.000000e+00 0.000000e+00 7.574374e-03 3.335105e-01 1.597687e-02 6.073913e-01 2.435930e-02 7.374119e-01 3.287675e-02 8.358568e-01 4.111391e-02 9.237687e-01 4.962499e-02 9.765994e-01 5.799227e-02 9.978478e-01 6.635954e-02 1.019096e+00 7.486671e-02 1.043857e+00 8.322958e-02 1.033526e+00 9.159099e-02 1.012669e+00 9.995092e-02 9.812854e-01 1.083079e-01 9.288493e-01 1.166610e-01 8.483429e-01 1.250102e-01 7.397663e-01 1.333564e-01 6.101370e-01 1.418269e-01 3.717386e-01 1.498611e-01 3.505522e-03

 

 

 

Case 2:  square plate illuminate by an orthogonally impinging plane wave having the electric field polarized along x

 

 

 

 

Distribution of the dominant component of the surface current:

 

Cut AA' 84 triangular patches y / lambda |Jx| / |Hinc| 6.419333e-02 4.564134e+00 2.122670e-01 2.655606e+00 3.554426e-01 2.833021e+00 4.967371e-01 2.898769e+00 6.435073e-01 2.755329e+00 7.838291e-01 2.660592e+00 9.321282e-01 4.484626e+00	Cut BB' 84 triangular patches x / lambda |Jx| / |Hinc| 9.233670e-04 1.932629e-05 1.593238e-01 1.642870e+00 3.322532e-01 2.490675e+00 4.967349e-01 2.891792e+00 6.637398e-01 2.490636e+00 8.333859e-01 1.670931e+00 9.990809e-01 1.393425e-02
Cut AA' 90 rectangular patches (Glisson) y / lambda |Jx| / |Hinc| 5.230337e-02 4.933653e+00 1.072437e-01 3.434803e+00 1.522740e-01 2.738071e+00 1.633350e-01 2.675512e+00 1.910360e-01 2.676091e+00 2.187413e-01 2.690625e+00 2.732372e-01 2.747579e+00 3.305010e-01 2.797615e+00 3.849946e-01 2.847593e+00 4.413308e-01 2.883656e+00 4.967328e-01 2.884815e+00 5.530560e-01 2.879017e+00 6.075261e-01 2.852251e+00 6.638343e-01 2.797615e+00 7.192170e-01 2.735984e+00 7.755273e-01 2.688325e+00 8.032219e-01 2.667974e+00 8.207680e-01 2.675318e+00 8.300167e-01 2.724349e+00 8.856249e-01 3.395281e+00 9.144275e-01 3.974953e+00 9.424055e-01 4.875539e+00	Cut BB' 90 rectangular patches (Glisson) x / lambda |Jx| / |Hinc| 9.233670e-04 1.932629e-05 2.327100e-02 6.074638e-01 5.200703e-02 9.708560e-01 1.075357e-01 1.383646e+00 1.620939e-01 1.642928e+00 2.194199e-01 1.895290e+00 2.748992e-01 2.147614e+00 3.303764e-01 2.392961e+00 3.858450e-01 2.610401e+00 4.412986e-01 2.779004e+00 4.967328e-01 2.884815e+00 5.530431e-01 2.837157e+00 6.074724e-01 2.677831e+00 6.637291e-01 2.455752e+00 7.190581e-01 2.219701e+00 7.753019e-01 1.955762e+00 8.315435e-01 1.684846e+00 8.859363e-01 1.406915e+00 9.412309e-01 1.059235e+00 9.697436e-01 6.970411e-01 9.990809e-01 1.393425e-02
Cut AA' 81 rectangular patches (Rahmat-Samii, Mittra) y / lambda |Jx| / |Hinc| 5.596248e-02 4.822102e+00 1.679605e-01 2.703515e+00 2.769263e-01 2.733703e+00 3.896179e-01 2.868620e+00 4.967371e-01 2.898769e+00 6.130749e-01 2.880274e+00 7.229126e-01 2.743038e+00 8.411100e-01 2.766442e+00 9.423776e-01 4.784840e+00	Cut BB' 81 rectangular patches (Rahmat-Samii, Mittra) x / lambda |Jx| / |Hinc| 5.816353e-02 2.668960e-02 1.628798e-01 1.196432e+00 2.785541e-01 2.022109e+00 3.914024e-01 2.666332e+00 4.967349e-01 2.891792e+00 6.148593e-01 2.677985e+00 7.263677e-01 1.968691e+00 8.360143e-01 1.210521e+00 9.418236e-01 1.517113e-02

 

 

Reference

 

S. M. Rao, D. R. Wilton, A. W. Glisson, “Electromagnetic scattering by Surfaces of Arbitrary Shape,” IEEE Antennas and Propagation, vol. 30, No.3, May 1982, pp. 409-418.