A novel fast and accurate full-wave approach to the analysis of a wide class of slotted waveguide arrays is presented. The numerical-analytical solution is based on Galerkin method with weighted Chebyshev polynomials as basis functions explicitly accounting for the field asymptotic at the edges. A dramatically fast convergence of the method is achieved due to proper basis functions. The second key point of the solution is the acceleration of double series and integrals which are the matrix elements of a final system of linear algebraic equations. The comparison of results with available experimental and theoretical data shows a good agreement. The results for travelling-wave array with 120 shunt slots for radar applications are considered.
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