Abstract Optical waveguides are the key building block of optical fiber and photonic integrated circuit technology, which can benefit from active manipulation to complement their passive guiding mechanisms. A number emerging applications will require faster nanoscale waveguide circuits that produce stronger light-matter interactions consume less power. Functionalities rely on nonlinear optics p...

We propose a quantum algorithm to solve systems of nonlinear differential equations. Using feature map encoding, we define functions as expectation values parametrized circuits. use automatic differentiation represent function derivatives in an analytical form differentiable circuits (DQCs), thus avoiding inaccurate finite difference procedures for calculating gradients. describe hybrid quantum...

Circuits provide ideal platforms of topological phases and matter, yet the study circuits in strongly nonlinear regime, has been lacking. We propose experimentally demonstrate transitions one-dimensional electrical composed capacitors. Nonlinear interface modes arise on domain walls circuit lattices, whose are controlled by amplitudes voltage waves. Experimentally measured transition good agree...

We describe simple software implementations of parameter embedding (also called continuation and homotopy) algorithms for calculating dc operating points of nonlinear circuits. Past implementation of homotopy algorithms in industrial circuit simulators proved that they were viable options to resolving convergence difficulties when finding circuits’ dc operating points. These software implementa...

This paper addresses the problem of designing robust tracking controls for nonlinear chaotic Chua’s circuits involving plant uncertainties and external disturbances. A hybrid adaptive-robust tracking control scheme which is based upon a combination of the tracking theory, variable structure system (VSS) control algorithm, and adaptive fuzzy control is developed such that all the states and sign...

We describe simple software implementations of parameter embedding (also called continuation and homotopy) algorithms for calculating dc operating points of nonlinear circuits. Past implementation of homotopy algorithms in industrial circuit simulators proved that they were viable options to resolving convergence difficulties when finding circuits’ dc operating points. These software implementa...

A nonlinear controllable plant, under mild technical conditions, admits a precompensator with the following property: along control trajectories joining pairs of states, the composite system (precompensator plus plant) is, up to first order, isomorphic to a parallel connection of integrators. Appeared in IEEE Trans.Autom.Control, Vol.32, 10, Oct.1987, pp877-888 *Research supported in part by US...

This paper presents a technique for modeling nonlinear distortion of multirate time-varying communication circuits. To properly consider the weakly nonlinear distortion effects in circuits with multiple large-signal excitations, we capture the quasiperiodic boundary condition of the system Volterra kernels using a multivariate formulation. We then extend the model order reduction work of [8][9]...

We show that the operational transconductance amplifier (OTA), as the active element in basic bnilding blocks, can be efficiently used for programmable nonlinear continuous-time function synthesis. Two efficient nonlinear function synthesis approaches are presented. The first approach is a ratiossaf approximation and tbe second is a piecewise.linear approach. Test circuits have been fabricated ...