Nonlinear characteristics (chaos) of high-power microwave (HPM) sources

John A. Gaudet; John W. Luginsland; Christopher B. Wallace

doi:10.1117/12.391797

14 July 2000 Nonlinear characteristics (chaos) of high-power microwave (HPM) sources

John A. Gaudet, John W. Luginsland, Christopher B. Wallace

Proceedings Volume 4031, Intense Microwave Pulses VII; (2000) https://doi.org/10.1117/12.391797
Event: AeroSense 2000, 2000, Orlando, FL, United States

Abstract

Recent advances in the understanding of dynamical systems and chaotic behavior have resulted in the investigation of HPM source design issues. Modern dynamical systems theory can improve our understanding of the dynamics of space charge dominated beams and the RF waveforms generated by them. This paper will review the work done to date using time series analysis techniques to study the state space dynamics of high power microwave sources using simulation (particle-in-cell) code results. Low-dimensional chaos has been observed in simulation results from a variety of HPM sources, including the MILO (Magnetically Insulated Line Oscillator). Additionally, the particle behavior within the diode portion of HPM tubes can have chaotic characteristics. Knowing when these features occur and how they develop are important first steps in our ability to control and/or eliminate them. Central to understanding source behavior is the initial use of joint time frequency analysis to assess whether the dynamics are stationary or not. Subsequently we use delay coordinate embedding techniques to reconstruct an effective state space global dynamics. From this, Poincare sections are examined. Lyapunov exponents are then calculated to determine whether the behavior of the source is noise or deterministic chaos.

Citation Download Citation

John A. Gaudet, John W. Luginsland, and Christopher B. Wallace "Nonlinear characteristics (chaos) of high-power microwave (HPM) sources", Proc. SPIE 4031, Intense Microwave Pulses VII, (14 July 2000); https://doi.org/10.1117/12.391797

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