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Theory of magnetically insulated electron flows in coaxial pulsed power transmission lines

Technical Report ·
OSTI ID:7027499
;
The Cartesian magnetically insulated transmission line (MITL) theory is extended to cylindrical coordinates. A set of equations that describe arbitrary electron flows in cylindrical coordinates is presented. These equations are used to derive a general theory for laminar magnetically insulated electron flows. The laminar theory allows one to specify the potentials, fields, and densities across a coaxial line undergoing explosive electron emission at the cathode. The theory is different from others available in cylindrical coordinates in that the canonical momentum and total energy for each electron may be nonzero across the electron sheath. A nonzero canonical momentum and total energy for the electrons in the sheath allows the model to produce one-dimensional flows that resemble flows from lines with impedance mismatches and perturbing structures. The laminar theory is used to derive two new self-consistent cylindrical flow solutions: (1) for a constant density profile and (2) for a quadratic density profile of the form p = p sub c ((r-sq sub m-r-sq)/(r-sq sub m-r-sq sub c)). This profile is of interest in that it is similar to profiles observed in a long MITL simulation. The theoretical flows are compared to numerical results obtained with 2-D electromagnetic particle-in-cell codes.
Research Organization:
Frank J. Seiler Research Lab., United States Air Force Academy, CO (USA)
OSTI ID:
7027499
Report Number(s):
AD-A-219975/0/XAB; FJSRL-JR--90-0005
Country of Publication:
United States
Language:
English

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Related Subjects

24 POWER TRANSMISSION AND DISTRIBUTION
240301* -- Power Transmission Lines & Cables-- Power Cables-- (1990-)
CABLES
COAXIAL CABLES
CONDUCTOR DEVICES
DENSITY
ELECTRIC CABLES
ELECTRICAL EQUIPMENT
ELECTRICAL INSULATION
ELECTROMAGNETISM
ELECTRON EMISSION
ELECTRON TRANSFER
EMISSION
EQUIPMENT
FLUID FLOW
IMPEDANCE
LAMINAR FLOW
MAGNETIC FIELDS
MAGNETIC INSULATION
MAGNETISM
MATHEMATICAL MODELS
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
PERTURBATION THEORY
PHYSICAL PROPERTIES
POWER TRANSMISSION LINES
PULSES
SIMULATION