1981
DOI: 10.1007/bf01007268
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Analytic theory of a tapered gyrotron resonator

Abstract: An analytic theory has been derived for determining the eigenfrequencies, RF-field distribution and Q of the TE modes of a gyrotron mpq resonator consisting of a circular cylinder joined to a slowly tapered section. Explicit results are obtained for a linear taper. The cavity modes are found to have an RF-field distribution which is useful for prebunching the electron beam and enhancing efficiency. For high Q cavities, the cavity Q depends on axial mode number q as q-2 , which is important for mode discriminat… Show more

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Cited by 39 publications
(5 citation statements)
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References 9 publications
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“…[8][9][10][11][12][13][14][15][16][17][18][19][20] These studies often address issues a) Electronic mail: krchu@yahoo.com.tw related to practical devices, such as field-profile optimization for efficient interaction, 10,14,17 synthesis of a desired field profile, 15 and mode separation for stable operation. 10,14 Although numerical solutions can be readily obtained, such cavities also present an interesting case for analytical investigations. In Ref.…”
Section: B Review Of Early Workmentioning
confidence: 99%
“…[8][9][10][11][12][13][14][15][16][17][18][19][20] These studies often address issues a) Electronic mail: krchu@yahoo.com.tw related to practical devices, such as field-profile optimization for efficient interaction, 10,14,17 synthesis of a desired field profile, 15 and mode separation for stable operation. 10,14 Although numerical solutions can be readily obtained, such cavities also present an interesting case for analytical investigations. In Ref.…”
Section: B Review Of Early Workmentioning
confidence: 99%
“…The diffractive quality factor is related to the axial index by the law. [25] Table 1. Frequencies and diffractive quality factors for the TE −3,4,q modes.…”
Section: Mode Selection and Cold Axial Modes Analysismentioning
confidence: 99%
“…In Sect. 3, we analyze the diffractive quality factor Q D in a relatively general way following the treatment done in [9], [18][19][20]. In this section, it is shown that the standard formula for the minimum diffractive Q widely used by many authors for evaluating the gyrotron operation gives a wrong scaling of the diffractive Q with the cavity length to the wavelength ratio: Q D ∝(L/λ) 2 .…”
mentioning
confidence: 99%