Robust simulation of opto-electronic systems by alternating complex envelope representations

The increased use of optics in information processing and transmission systems motivates the development of self-consistent opto-electronic transient simulators. This letter presents a technique to significantly improve the DC and transient convergence behavior of a modified nodal analysis based optoelectronic simulation framework by allowing optical device models to be switched between a linear formulation using real and imaginary fields to a non-linear magnitude and phase representation. Configurable multilayer filters and optical ring modulators are used as examples to demonstrate the effectiveness of this approach in obtaining robust simulation convergence

Comparison of contemporary parameterized model order reduction techniques

Interconnect effects are one of the dominant factors affecting performance and design of high-speed networks. These effects if not predicted at early stages of the design cycle could lead to costly design iterations. Evaluation of the effects of interconnects requires solving large sets of equations, the direct solution of which is computationally expensive. The need to improve this computational cost brought about the development of model order reduction (MOR) techniques. However, MOR techniques do not consider process and parameter variations that cause inevitable changes in performance at high frequencies. To deal with such performance-accuracy issues, parameterized model order reduction (PMOR) techniques were introduced. In this paper, a comprehensive comparative analysis is presented for contemporary PMOR techniques against a set of established criteria

Nonlinear circuit-reduction of high-speed interconnect networks using congruent transformation techniques

A new algorithm based on Krylov subspace methods is proposed for efficient simulation of large interconnect networks with nonlinear terminations. Reduction is obtained by projecting the original system described by nonlinear differential equations into a subspace of a lower dimension. The reduced circuit can be simulated using conventional numerical integration techniques. Significant reduction in computational expense is achieved as the size of the reduced equations is much less than that of the original system. The new algorithm is potentially useful for analysis of lossy coupled transmission lines with nonlinear terminations

Recursive multi-parameter closed-form expressions for high-speed transmission line networks

In this paper, an efficient algorithm to extract multi-parameter closed-form expressions for the response of transmission line circuits is proposed. The proposed algorithm was applied to simulate practical transmission line networks and a significant speed-up was obtained