Initiation and stationary operating states in a crossed-field vacuum electron device

David J. Kaup

doi:10.1117/12.469841

10 June 2002 Initiation and stationary operating states in a crossed-field vacuum electron device

David J. Kaup

Proceedings Volume 4720, Intense Microwave Pulses IX; (2002) https://doi.org/10.1117/12.469841
Event: AeroSense 2002, 2002, Orlando, FL, United States

Abstract

Previous studies of crossed-field electron vacuum devices, such as magnetrons and crossed-field amplifiers (CFA), have centered on their initial growth, as an indication of their operating modes. In such an analysis, one assumes a growth rate, and solves the equations for the density profile, the operating frequency, and the growth rate. What one obtains here are the conditions for the initial operation of the device. However, eventually the RF fields will have saturated, and the device then will enter into either a stationary operating regime, or some other mode, which could in general be some non-operating mode. To study this regime of operation, we return to the classical planar magnetron equations and study what the form of the solution will be for these stationary solutions. What we find is that upon saturation, as the growth rate vanishes, its effect is replaced by second-order velocity terms, and in particular, the second-order vertical velocity. What we will do here is to derive and present the magnetron equations when the growth rate vanishes, and discuss the solutions of the RF equations about the resonance points. Lastly, we shall consider what implications these results may have for relativistic and nonrelativistic crossed-field devices.

Citation Download Citation

David J. Kaup "Initiation and stationary operating states in a crossed-field vacuum electron device", Proc. SPIE 4720, Intense Microwave Pulses IX, (10 June 2002); https://doi.org/10.1117/12.469841

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available