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Part of the book series: NATO ASI Series ((NSSB,volume 312))

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Abstract

A new application for soliton theory is the nonlinear evolution of an electromagnetic wave in a crossed-field device such as a magnetron or a crossed-field amplifier. With a singular perturbation analysis, we are able to more accurately predict the operating range of such devices. Important new insights into the physics of how these devices operate are also found.

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References

  1. John C. Slater, Microwave Electronics, Chapter 13 (D. Van Mostrand Co., Princeton, NJ 1959).

    Google Scholar 

  2. O. Buneman, R.H. Levy and L.M. Linson, Journal of Applied Physics 37, 8 (1966).

    Article  Google Scholar 

  3. D.J. Kaup and Gary E. Thomas, J. Appl. Phys. 71, 5752 (1992).

    Article  ADS  Google Scholar 

  4. Gary E. Thomas, IEEE Trans, on Electron Devices, ED-29, 1210, 1982

    Article  ADS  Google Scholar 

  5. S.W. Shpock, MSEE Thesis entitled “Experimenatl Verification of Soliton Theory Using a Microwave Crossed-Field Amplifier”, Univ. of Utah, 1984.

    Google Scholar 

  6. D.J. Benney and A.C. Newell, J. Math, and Phys. 46, 133 (1967).

    MathSciNet  MATH  Google Scholar 

  7. V.E. Zakharov and A.B. Shabat, Zh. Eksper. Theoret. Fiz. 61, 118 (1971); Soviet Phys. JETP 34, 62 (1972).

    Google Scholar 

  8. A.K. Liu and D.J. Benney, Stud. Appl. Math. 64, 247 (1981).

    MathSciNet  MATH  Google Scholar 

  9. R.V. Loveland and E. Ott, Phys. Fluids 17, 1263 (1974).

    Article  ADS  Google Scholar 

  10. John Swegle, Phys. Fluids 26, 1670 (1983).

    Article  ADS  MATH  Google Scholar 

  11. D. Chemin and Y.Y. Lau, Phys. Fluids 27, 2319 (1984).

    Article  ADS  Google Scholar 

  12. Hunter McDowell, “Equations for Crossed-Field Tubes-Linear Case”, Unpublished SFD Laboratories, Inc. Report; also see reference number 1.

    Google Scholar 

  13. D.J. Kaup, S. Roy Choudhury, and Gary E. Thomas, Phys. Rev. A 38, 1402–1409 (1988).

    Article  ADS  Google Scholar 

  14. D.J. Kaup (Unpublished).

    Google Scholar 

  15. R.C. Davidson and K.T. Tang, Phys. Fluids 28, 1169 (1985).

    Article  ADS  MATH  Google Scholar 

  16. D.J. Kaup, Phys. Fluids B2, 2253 (1990).

    MathSciNet  ADS  Google Scholar 

  17. D.J. Kaup and Gary E. Thomas, Stud. Appl. Math 81, 37–78 (1989).

    MathSciNet  Google Scholar 

  18. Errata for Reference 15 above. Stud. Appl. Math 83, 271 (1990).

    Google Scholar 

  19. A.H. Nayfeh, Introduction to Perturbation Techniques, (Wiley, New York, 1981).

    MATH  Google Scholar 

  20. D.J. Kaup and Gary E. Thomas, Phys. Fluids B4, 2640–2644 (1992).

    ADS  Google Scholar 

  21. S.A. Prasad, G.J. Morales, and B.D. Fried, Phys. Fluids 30, 3093–3105 (1987).

    Article  ADS  MATH  Google Scholar 

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© 1993 Springer Science+Business Media New York

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Kaup, D.J. (1993). Solitons in Crossed-Field Devices. In: Christiansen, P.L., Eilbeck, J.C., Parmentier, R.D. (eds) Future Directions of Nonlinear Dynamics in Physical and Biological Systems. NATO ASI Series, vol 312. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1609-9_3

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  • DOI: https://doi.org/10.1007/978-1-4899-1609-9_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1611-2

  • Online ISBN: 978-1-4899-1609-9

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