Experimental determination of multiple instability regions by Fourier filtering methods in a single-mirror feedback scheme
In this study, a special Fourier filtering scheme is utilized to give an experimental demonstration of a basic property of many optical pattern forming systems. This is the existence of a sequence of tongue-like instability regions at increasing values of transverse wave numbers. This work determines the boundaries of the tongues, i.e. the marginal stability curve, and compare the results with theoretical ones.
A methodology for hierarchical statistical circuit characterization which does not rely upon circuit-level Monte Carlo simulation is presented. The methodology uses principal component analysis, response surface methodology, and statistics to directly calculate the statistical distributions of higher-level parameters from the distributions of lower-level parameters. We have used the methodology to characterize a folded cascode operational amplifier and a phase-locked loop. This methodology permits the statistical characterization of large analog and mixed-signal systems, many of which are extremely time-consuming or impossible to characterize using existing methods.