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The inverse problem of particle motion and its application

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Summary

The theory of the inverse problem of charged particle motion is presented in this paper. A potential distribution required to guide a group of particles along a set of prescribed paraxial paths has been found. An application of the theory of the inverse problem to the design of an efficient ion source for the mass spectrometer is discussed. The potential distribution required to guide the ions along a set of exponentially converging and damped oscillatory paths has been found. An interesting situation is encountered, where a particle is turned back at certain points called mirror points.

The particles which do not satisfy the initial condition of uniform energy and direction may deviate considerably from their projected paths, leading to an unstable situation. A method for finding the perturbation function is developed. It was found that the system with exponentially converging paths is unstable, while the second system with damped oscillatory paths is stable.

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References

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Author notes

  1. P. S. Naidu

    Present address: , 601 Booth St., Ottawa 4, Canada

Authors and Affiliations

  1. Department of Geophysics, University of British Columbia, Vancouver, B.C., Canada

    P. S. Naidu

  2. Bedford Institute of Oceanography, Dartmouth, N.S., Canada

    K. O. Westphal

Authors
  1. P. S. Naidu
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  2. K. O. Westphal
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Additional information

Read at Canadian Association of Physicists annual meeting held in Vancouver, B.C., June, 1965.

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Naidu, P.S., Westphal, K.O. The inverse problem of particle motion and its application. Appl. Sci. Res. 12, 435–450 (1965). https://doi.org/10.1007/BF00382137

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  • DOI: https://doi.org/10.1007/BF00382137

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