MONTE CARLO INVESTIGATION OF NOISE IN AN INCIPIENT-SPACE DIODE.
Abstract
The Monte Carlo method is applied to the case of an ac, open-circuited, one-dimensional diode. The relevant formulas are derived and the choice of suitable parameters is discussed from an electronic and spectral point of view. The implications of the open-circuited ac assumption are scrutinized. The general problem of motion of an electron between two planes is considered and attention is focused on the behavior of the electric field at the cathode as a function of time. It is seen that under the assumption of an ideal ac open-circuited diode the mean value of the electric field for an incipient space-charge diode is zero, as it should be, but the variance increases as a function of time. This fact necessitates the introduction of a high ac resistance across the diode, so that it is essentially open-circuited at high frequencies but not at zero frequency. The results of the Monte Carlo calculation are presented and a comparison made with the results of other investigators (e.g., Siegman, Tien and Moshman, Dayem, and Wen). The results are seen to be in fairly close agreement with density function calculations with the exception of the low-frequency behavior of the kinetic potential fluctuations and of Haus's noise quantity S. Dayem's Monte Carlo calculation for a temperature-limited diode with an assumed linear potential profile gives the closest numerical agreement. The noise quantities S and pi are not invariant in the region of interest. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1964
- Accession Number
- AD0459049
Entities
People
- M. O. O'flynn
Organizations
- Stanford University