Thesis (Ph.D.)--University of California, Los Angeles, 1993
In this dissertation, the time-domain Diakoptics method is implemented in the finite-difference time-domain (FDTD) simulation, which is to calculate a large circuit by small modules. These small modules are connected through two types of connecting interfaces: (i) directional interface, and (ii) total-field interface. For a large circuit with cascaded modules, sequential and parallel algorithms are provided to connect them. With these connecting algorithms, time-domain Diakoptics is one candidate method to realize modular and parallel computation in FDTD simulations
The convolution operation in time-domain Diakoptics is accelerated by the system identification technique. The system identification technique has particular efficiency for an infinitely-long impulse response system, that can be characterized with a small number of time steps and coefficients. Using the time-domain Diakoptics method, a numerically exact absorbing boundary condition (ABC) is developed for the FDTD simulation. On a homogeneous waveguide cross-section, this exact ABC with modes extraction technique can significantly reduce the computational volume in a FDTD S-parameter extraction
