The Pierce diode with an external circuit. I. Oscillations about nonuniform equilibria

Journal Article · Sat Jul 01 04:00:00 EDT 1989 · Phys Fluids B; (United States)

DOI:https://doi.org/10.1063/1.858925· OSTI ID:6141009

Lawson, W S

The nonuniform (nonlinear) equilibria of the classical (short circuit)Pierce diode and the extended (series RLC external circuit) Pierce diode aredescribed, and the spectrum of oscillations (stable and unstable) about theseequilibria are worked out. It is found that only the external capacitance altersthe equilibria, though all elements alter the spectrum. In particular, theintroduction of an external capacitor destabilizes some equilibria that aremarginally stable without the capacitor. Computer simulations are performed totest the theoretical predictions for the case of an external capacitor only. Itis found that most equilibria are correctly predicted by theory, but that thecontinuous set of equilibria of the classical Pierce diode at Pierce parameters(..cap alpha..=..omega../sub /ital p/L///ital v//sub 0/) that are multiples of 2..pi.. are notobserved. This appears to be a failure of the simulation method under the rathersingular conditions rather than a failure of the theory.

• Research Organization: Electronics Research Laboratory, University of California, Berkeley, California 94720(US)
• OSTI ID: 6141009
• Journal Information: Phys Fluids B; (United States), Journal Name: Phys Fluids B; (United States) Vol. 1:7; ISSN PFBPE
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420800 -- Engineering-- Electronic Circuits & Devices-- (-1989)
640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CAPACITANCE
COMPUTERIZED SIMULATION
DIODE TUBES
ELECTRICAL PROPERTIES
ELECTRON TUBES
EQUILIBRIUM
INSTABILITY
PHYSICAL PROPERTIES
PIERCE INSTABILITY
PLASMA
SIMULATION
THERMIONIC DIODES
THERMIONIC TUBES
VARIATIONS