DESIGN OF RECTANGULAR RADIO FREQUENCY CAVITY FOR MINIATURE MULTIBEAM KLYSTRON A.K.Singh, A.K.Bandyopadhyay, L.M.Joshi, D.Kant, B. Kumar and R.Meena. CENTRAL ELECTRONICS ENGINEERING RESEARCH INSTITUTE (CEERI-CSIR) Pilani (Rajasthan)-333031, India Abstract: This paper is concerned with the design of rectangular radio frequency (RF) cavities for a miniature multiple beam Klystron. The proposed multiple beam klystron will have four beamlets, each carries 64mA current. The RF cavities under design will be compatible with a multiple beam electron gun under development in CEERI. This work is in continuation of the work reported in the previous paper [1] where design of the cylindrical cavity was presented. The possibility of using rectangular cavities instead of cylindrical ones has been explored in this work and a comparison of their performance has been done. The rectangular cavity has been designed to match the RF characteristics with that of cylindrical cavity designed earlier. The rectangular cavity designed has following advantages: a) Fabrication of rectangular cavity is easier compared to cylindrical counterpart of it. b) Coupling of rectangular waveguide with rectangular cavity is easier compared to the case of cylindrical one. The RF cavities play an important role in deciding the RF performance of the tube, such as its gain, bandwidth, efficiency etc. Eventually proper choice of cavity parameters including its resonant frequency, quality factor, shunt resistance which depend on the geometry of the cavity are of utmost importance to decide the ultimate performance of the Klystron. The RF cavity geometry of a four beam Klystron working in Jband frequency range has been optimized for its frequency, R/Q etc. The shape and size of the central conductor and the nose cones have been optimized to get the desired performance of the RF cavity. A step impedance transformer is also designed to check the symmetric coupling over all the beams in the input and output sections at the design frequency. The state of art electromagnetic simulation tool CST microwave studio has been used for the design and operation of the cavity. Different cavity parameters such as the quality factor, shunt impedance, etc. have been estimated with the help of the simulation tool. Keywords: Multibeam Klystron, Transformer, Slot Coupling Step Impedance Introduction: Klystrons are high power vacuum tube power amplifiers. In modern systems they are used from UHF (hundreds of MHz) up through hundreds of GHz. Klystrons can be found at work in radars, satellites, wideband high-power communication, medicine, and high energy physics. RF section is an important part of Klystron. The exchange of energy between the accelerated electron beam and RF signal takes place at the gap of the cavity. There are conflicting requirement in deciding the gap diameter and spacing, while for good interaction both the parameters should be small compared with the transit time of the electron through the gap, a too small gap diameter imposes severe complications in gun design. Also the small gap spacing increases the gap capacitance resulting in a reduced gain bandwidth product. There is a possibility of multipactor phenomenon in the small gap. Therefore both parameters are to be decided keeping the set specification in mind. Also the proper coupling irises are required for input and output cavities so that tube will look approximately matched at the input to the driver and would be properly loaded by the matched output line. Parameter Frequency Band Beam Voltage Beam Current No. of Beams Specifications 17-18 GHz 4KV 64mA 4 Table I: Design Specifications of the MBK Design Approach: The electric field distribution of the operating mode inside the RF cavity discussed in the earlier paper [1] is shown in the Fig.1. We started by taking the diameter of the cylindrical cavity as the diagonal of the rectangular cavity and further optimized the later cavity to get the desired resonant frequency of 17.6GHz. The electric field distribution of the other. Although the electric field distribution of all these modes were same. Figure 2: Electric field distribution of the operating mode of the rectangular RF cavity Figure 1: Electric field distribution of the operating mode of the cylindrical RF cavity rectangular RF cavity is shown in Fig.2. We can see from Fig.2 that the maximum field is in the gap between the drift tubes as it is in the case of cylindrical RF cavity. The comparison of design parameters of cylindrical and rectangular cavity is given in Table II. Parameters Resonant Frequency Quality Factor R/Q along four gap center Cylindrical Cavity 17.5944 GHz 3279 53,51,53,50 Rectangular Cavity 17.6041 GHz To couple power to the cavity we went for slot coupling. The dimensions of the slot in the cavity had been optimized to get the desired operating frequency. Then as the width of the standard waveguides [4] for the desired frequency band was found larger we went for half to full width four step impedance transformer [2, 4] to match the impedance of the slot and the standard waveguide. The simulation model of the impedance transformer is shown in Fig.3 and its return loss calculated using CST Microwave Studio is shown in Fig.4. 3398 66,32,66,32 Table II: Comparison of design parameters of Cylindrical and Rectangular RF Cavity While designing the rectangular cavity it was found that the first four modes had resonant frequencies too close to each other and their field distribution were also same. To separate the mode frequencies further apart various central conductor geometries were tried and finally we got the geometry (Fig.2) for which the first two modes were having the same resonant frequency and the next two modes had the same resonant frequency and these resonant frequencies were 300 MHz apart from each Figure 3: Four step impedance transformer From Fig.5 we see coupling of magnetic field from the cavity to the impedance transformer which was required. Conclusions: The rectangular RF cavity of a multi-beam Klystron operating at 17.6 GHz has been designed with CST Microwave Studio. Several cavity parameters like the the Q-factor, R/Q etc have been compared with the same in case of a cylindrical cavity. A four step impedance transformer has also been designed for a half to full width waveguide transition. The impedance transformer has also been simulated together with the RF cavity to optimize the slot coupling for feeding the cavity. Figure 4: S-parameters of the impedance transformer From Fig.4 we can see that it has flat response in the desired frequency band and the return loss is also good. After that whole geometry of cavity with impedance transformer was simulated to check the symmetric coupling of power over all the beams. Acknowledgements: The authors are thankful to Dr. Chandra Shekhar, Director CEERI for encouragement. The authors are also thankful to all team members at CEERI and the concerning academic persons of The University of Burdwan. References: 1. 2. 3. 4. S Maity, AK Bandyopadhyay, D Kant, R Meena, SK Jhangid, N Devi and LM Joshi, ”Design of RF cavity for a J-band multibeam Klystron”, proceedings of NCRA-MTDCS-2011. David M. Pozar, “Microwave Engineering”, 2 nd ed., John Wiley and Sons Inc. R.E. Collin, “Theory and design of wide-band multisection quarter-wave transformers”, proceedings of IRE Samuel Y. Liao, “Microwave Devices and Circuits”, PHI Private Figure 5: Magnetic field distribution and S-parameter of the operating mode of the rectangular cavity along with the waveguide coupler Limited
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