We report a detailed theoretical investigation on electrochemical capacitance of a nanoscale capacitor where there is a DC coupling between the two conductors. For this “leaky” quantum capacitor, we have derived general analytic expressions of the linear and second order nonlinear electrochemical capacitance within a first principles quantum theory in the discrete potential approximation. Linea...

We compare three computational techniques developed in the preceding paper [J. Opt. Soc. Am. 13, 553 (1996)] that account for the effects of nonlinear coupling on light propagating through nonlinear, dispersive media. We demonstrate that all three techniques give reasonable accuracy under conditions typical of a self-modelocked laser. We further show that these techniques are greatly superior t...

Abstract. The object of this paper is to present sufficient conditions for the oscillation of certain solutions of the second order, nonlinear matrix differential equation. The oscillation criteria obtained here improve the recent results of the author and E. C. Tomastik. The methods employed in the paper extend a technique introduced by H. C. Howard and for the special linear version of the no...