@inproceedings{oai:niigata-u.repo.nii.ac.jp:00031091, author = {Yamazaki, Hoshiyuki and Ogura, Kazuo and Watanabe, Tsuguhiro}, book = {Progress in plasma theory and understanding of fusion plasmas : Proceedings of 13th International Toki Conference on Plasma Physics and Controlled Nuclear Fusion (ITC-13), December 9-12, 2003, Toki-city, Japan, Progress in plasma theory and understanding of fusion plasmas : Proceedings of 13th International Toki Conference on Plasma Physics and Controlled Nuclear Fusion (ITC-13), December 9-12, 2003, Toki-city, Japan}, month = {Dec}, note = {The previous studies of backward wave oscillators (BWOs) have been restricted in the operation at the fundamental axisymmetric TM mode. owever, nonaxisymmetric operations of BWO are observed in the experiments and become important. In this work, the Rayleigh-Bessel (R-B) method is improved in order to analyze the nonaxisymmetric as well as axisymmetric fields in a periodic slow-wave structure (SWS). This method is based on the Rayleigh hypothesis, whose limit has been argued extensively. For the X-band SWS, the modulation depth is about 4 times of the theoretically established limit of the Rayleigh hypothesis. We compare the R-B method with another one based on a numerical integration of Maxwell equations, which is free from the Rayleigh hypothesis. The field properties derived by the R-B method show some singularities inside the corrugation due to the Rayleigh hypothesis. However, regardless the singularities, the dispersion characteristics and the fields outside the corrugation are in very good agreement with those by the numerical integration. The validity of the R-B method is discussed.}, pages = {719--722}, publisher = {The Japan Society of Plasma Science and Nuclear Fusion Research}, title = {Numerical Examination of Electromagnetic Field Properties in a Cylindrical Periodic Slow Wave Structure}, year = {2004} }