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A numerically efficient method for the evaluation of wide band scattering characteristics is presented. This approach, which is based on the characteristic basis function method (CBFM), utilises the characteristic basis functions (CBFs) that are derived for the highest frequency in the range of interest. These CBFs, once generated, also capture the electromagnetic behaviour of the lower frequencies as well. The use of these bases, which will be referred to as ultra-wide band characteristic basis functions (UCBFs), enables one to solve the scattering for any frequency sample in the band without going through the time-consuming process to generate the CBFs anew. Numerical results shown validate the accuracy and the time efficiency of this method.