A matrix formulation for large scale numerical computation of the finite planar waveguide array problem

In the present work, the finite planar waveguide array problem is formulated as a matrix equation. It is shown that entries of the matrix are independent of the scan angles, and it is necessary to compute and invert the matrix only once in order to obtain information on the array Scanning operation at any angular position. It is also shown that the use of certain symmetry relations greatly reduces the computation time of the matrix entries. Finally, a numerical example is given to demonstrate the effectiveness of the matrix formulation in treating the finite array problem.