Conservative finite difference method as applied to electromagnetic radiation problems in SAW devices

Maxwell's equations can be cast in differential or, alternatively, various equivalent integral forms. For solving practical problems the differential or integral equations need to be discretized and solved. While the finite difference method is comparatively easy to implement, the finite element method is more flexible in discretizing irregular geometry. The conservative finite difference method (CFDM) offers an easy-to-implement scheme for a large class of practical problems in computational engineering. CFDM, by construction, preserves the energy and various other laws and operates on "logically", rather than geometrically rectangular grids. It is based on the method of support-operators originally developed by Favorskii, Samarskii, Shashkov, and Tishkin. In this paper we set the stage for the application of CFDM to electromagnetic field problems in SAW devices forms. For solving practical problems the differential or integral equations need to be discretized and solved. While the Finite Difference Method is comparatively easy to implement, the Finite Element Method is more flexible in discretizing irregular geometry. The Conservative Finite Difference Method (CFDM) offers an easy-to-implement scheme for a large class of practical problems in computational engineering. CFDM, by construction, preserves the energy and various other laws and operates on 'logically,' rather than geometrically rectangular grids. It is based on the method of support-operators originally developed by Favorskii, Samarskii, Shashkov, and Tishkin. In this paper we set the stage for the application of CFDM to electromagnetic field problems in SAW devices