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Applied Physics Letters / Volume 97 / Issue 17 / PLASMAS AND ELECTRICAL DISCHARGES

Appl. Phys. Lett. 97, 171502 (2010); http://dx.doi.org/10.1063/1.3506496 (3 pages)

Temporal and spatial locking of nonlinear systems

Ian M. Rittersdorf1, Y. Y. Lau1, Jacob C. Zier1, Ronald M. Gilgenbach1, Edward J. Cruz1, and John W. Luginsland2

1Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan 48109-2104, USA
2Air Force Office of Scientific Research, Arlington, Virginia 22203, USA

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(Received 17 September 2010; accepted 5 October 2010; published online 25 October 2010)

Peer-to-peer locking of two magnetrons is analyzed including the effects of a frequency chirp and of low frequency noise. It is found that complete phase locking cannot be achieved in either case. However, as long as the locking condition is well satisfied instantaneously, a high degree of locking occurs. This analysis in the time domain is adapted to locking in the spatial domain, in particular to the interpretation of some recent experiments on the spatial correlation of two ablating current-carrying wires that are placed sufficiently close to each other.

© 2010 American Institute of Physics

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KEYWORDS and PACS

Keywords

magnetrons, phase locked oscillators

PACS

  • 84.40.Fe

    Microwave tubes (e.g., klystrons, magnetrons, traveling-wave, backward-wave tubes, etc.)

  • 84.30.Ng

    Oscillators, pulse generators, and function generators

  • 84.40.Dc

    Microwave circuits

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3506496

PUBLICATION DATA

ISSN

0003-6951 (print)  
1077-3118 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    P. Pengvanich, Y. Y. Lau, E. Cruz, R. M. Gilgenbach, B. Hoff, and J. W. Luginsland, Phys. Plasmas 15, 103104 (2008)PHPAEN000015000010103104000001.

    E. J. Cruz, B. W. Hoff, P. Pengvanich, Y. Y. Lau, R. M. Gilgenbach, and J. W. Luginsland, Appl. Phys. Lett. 95, 191503 (2009)APPLAB000095000019191503000001.

    J. C. Zier, J. D. Douglass, I. C. Blesener, K. S. Blesener, D. A. Chalenski, R. M. Gilgenbach, J. B. Greenly, D. A. Hammer, P. F. Knapp, B. R. Kusse, Y. Y. Lau, R. D. McBride, W. Syed, and E. P. Yu, Phys. Plasmas 16, 102702 (2009)PHPAEN000016000010102702000001.

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