Analytical representation of impedance using the Boltzmann equation for nonlinear two-terminal device behavior

Abstract

A nonlinear time-domain equation is derived which describes the electromagnetic field and electron transport behavior in an ${n}^{+}$-n-${n}^{+}$ structure. From this governing equation, closed-form representations for impedance are obtained. One form provides an impedance evaluatable continuously in a complex-frequency domain. The other form provides an impedance at fundamental and harmonic frequencies. The second representation is dependent upon a sampling time interval. Electron transport in the approach obeys the Boltzmann transport equation, reexpressed in velocity-moment equations.