Modulation Products in a Power Law Modulator

Expansion of the current as a function of the voltage in a multiple Fourier series is used to solve the problem of determining the amplitude of the various frequency components produced when a voltage is applied across a resistance, the current in which varies as a power of the voltage across it. Recurrence formulas are developed by which the higher order products can be computed from those of lower order. Certain of the integral coefficients in the Fourier series expansion are evaluated in the form of double summations. The method is applied to a specific case, and sample calculations carried through in detail. While the method is not as well adapted to obtaining qualitative results as are the usual forms of analysis, it does appear to have some advantages when numerical results are required, or when the effects of the contributions of higher order products are to be studied.