BODY OF REVOLUTION PHI-FLIP MATRIX AND BOR-PATCH SYSTEM MATRIX OPTIMIZATION

A new phi flip unit matrix is introduced into body of revolution (BOR) system matrix theory which aides in the development of negative mode expressions for the impedance, admittance, voltage, current, and row m atrices. A demonstration of the phi flip matrix provides a succinct pr oof of existing results for scattered fields using positive modes, The BOR-PATCH system matrix equation and its solution are then presented using the phi hip matrix to optimize the partition solution, It is sho wn that the Z(effective) matrix is symmetric and may be computed using positive modes and that the row R-effective measurement matrix may be obtained directly from the transpose of the V-effective excitation co lumn matrix.