A rigorous study of the rf fields in complex cavities with gradual transitions

Yang, Shiwen; Li, Hongfu

doi:10.1007/bf02069463

Cited by 4 publications

(5 citation statements)

References 9 publications

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“…It is assumed that g steps are necessary for the integral from z=0 to z=1 in (4), making use of Theorem 2.1, and we obtain Table 1 Resonator frequency and Q-factor of TE 62 obtained in reference [6] (columns 2 and 3) and with the new calculation method (columns 4 and 5), when TM 61 is neglected. …”

Section: New Calculation Methodsmentioning

confidence: 99%

“…It is assumed that the resonator operates at TE mn mode, and there are s TE modes and t TM modes propagating in the resonator [6]. In the traditional calculation method, the field amplitude of TE mn at the input of the resonator is assumed to be an arbitrary constant.…”

Section: Traditional Calculation Methodsmentioning

confidence: 99%

“…For this reason, the scholars in different countries have made a lot of effort [3][4][5]. The boundary value problem of the eigenmodes of gyrotron resonators has been discussed in detail [6] where g ðiÞ…”

Section: Introductionmentioning

confidence: 99%

“…the new calculation method, we consider as an example the gyrotron in the reference[6]. This gyrotron is designed to operate in the TE 61 /TE 62 mode pair at the frequency 35 GHz.…”

mentioning

confidence: 99%

“…Resonator frequency and Q-factor of TE 62 obtained in reference[6] (columns 2 and 3) and with the new calculation method (columns 4 and 5), when TM 61 is considered.…”

mentioning

confidence: 99%

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A Novel Method for Calculation of Eigenmodes of Gyrotron Resonators

Liu

2011

J Infrared Milli Terahz Waves

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A new method for calculating the eigenmodes of gyrotron resonators is presented. With this method, the resonant frequency, Q-factor and field profiles of the eigenmodes are determined through finding the minimum value of a function of two variables, namely the resonant frequency and the Q-factor. Compared with the traditional calculation method, the new method predicts a significantly higher Q-factor of the eigenmodes.

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Section: New Calculation Methodsmentioning

confidence: 99%

Section: Traditional Calculation Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…the new calculation method, we consider as an example the gyrotron in the reference[6]. This gyrotron is designed to operate in the TE 61 /TE 62 mode pair at the frequency 35 GHz.…”

mentioning

confidence: 99%

“…Resonator frequency and Q-factor of TE 62 obtained in reference[6] (columns 2 and 3) and with the new calculation method (columns 4 and 5), when TM 61 is considered.…”

mentioning

confidence: 99%

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A Novel Method for Calculation of Eigenmodes of Gyrotron Resonators

Liu

2011

J Infrared Milli Terahz Waves

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Study of Eigenmodes of Coaxial Resonators Using Coupled-Wave Theory

Liu

2010

J Infrared Milli Terahz Waves

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Based on the surface impedance theory (SIT) and the coupled-wave theory (CWT), this paper has established the second-order transmission line equation applicable to coaxial resonators with corrugated inner conductor. By utilizing the equation, the resonant frequency, Q factor and field profiles geometry of the eigenmodes of coaxial resonators can be calculated in view of the mode coupling, and the variables of the slot width and depth in the coupling coefficient can also be applied to calculate their impact on the resonant frequency and Q factor. The numerical results show that, the slot width and depth have significant impact on the resonant frequency, but their effect on Q factor is approximately negligible.

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