Weighted Laguerre Polynomials and its Applications in Transient RCS Analysis

Weighted Laguerre polynomial is a set of self-contained orthogonal causal functions. In this paper, the properties of weighted Laguerre polynomials are summarized. As a set of temporal basis functions, the influence and choice of the time scaling factor are discussed in detail. And then the choice principle for the time scaling factor is obtained. The application of weighted Laguerre polynomials, which are the temporal basis of transient scattering analysis for arbitrary shaped structures, is illustrated for transient RCS calculation. The examples show that the choice principle proposed here is effective.