Microwave Circuits Described by Two-Dimensional Vector Wave Equation and their Analysis by FD-TD Method

The paper postulates distinction of a class of microwave circuits described by two-dimensional vector wave equation. It proposes to refer to them as vector two-dimensional or 2-DV circuits to distinguish them from the circuits described by two-dimensional scalar wave equation (typically referred to as 2-D circuits). The class of 2-DV circuits includes many microwave circuits of great importance. Formal description of the 2-DV circuits is presented in a form of extension of the formulas describing 2-D circuits. The paper presents also effective way of calculating arbitrarily shaped 2-DV circuits by finite-difference time-domain method. Examples of calculations are also shown.