The beam envelope equation has been used to address the beam dynamics in rf photoinjectors. A special solution of the envelope equation, known as the invariant envelope, plays a critical role in the theory of emittance compensation. In this comment, I will present a different view of the invariant e
ON THE SPURIOUS SOLUTIONS IN COMPLEX ENVELOPE DISPLACEMENT ANALYSIS
β Scribed by A. SESTIERI; A. CARCATERRA
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 144 KB
- Volume
- 240
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
Complex envelope displacement analysis seems to be a promising approach to analyze high-frequency structural problems and is expected to be useful to study structural-acoustic coupled problems. However, in the original derivation of the method it was shown the presence of a troublesome spurious solution consisting of a high wavenumber component that would make the envelope approach ine$cient. The elimination of this term is quite simple for one-dimensional systems but, in view of more complex developments, the problem deserves a serious investigation to explain the origin of this contribution and to introduce a simple and general approach to cancel this term in more general applications. In the present paper both these aspects are carefully considered and successfully developed.
2001 Academic Press
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