Groove guide is a millimeter wave and sub-millimeter wave transmission line. It has some characteristics that are superior to the other transmission lines such as simple structure, easy manufacture for its large size, low loss, low dispersion and wide bandwidth etc., when operational frequency is higher than 100 GHz. The groove guide with arbitrary cross-section is analyzed by using the method of lines in this paper. The correctness of the analytic model for solving this guide is demonstrated. A novel truncated circular-groove guide is presented and its transmission characteristics are numerically calculated and analyzed. It can be consulted for theoretical researching of groove guide and disposing electromagnetic field boundary value problems. The analytic method in this paper has some virtues such as easy formulation, less computation and universal application etc.
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