Citation: | Andreev Dmitrii, Kuskov Artem, Schamiloglu Edl. Review of the relativistic magnetron[J]. Matter and Radiation at Extremes, 2019, 4(6): 067201. doi: 10.1063/1.5100028 |
[1] |
J. J. Coupling , Maggie ( Astounding Science-Fiction, 1948), pp. 77– 93.
|
[2] |
S. Phelps , The Tizard Mission: The Top-Secret Operation that Changed the Course of World War II ( Westholme Publishing, Pennsylvania, 2010).
|
[3] |
Y. Blanchard , G. Galati , and P. van Genderen , “ The cavity magnetron: Not just a British invention,” IEEE Antennas Propag. Mag. 55, 244– 254 ( 2013). 10.1109/map.2013.6735528 doi: 10.1109/map.2013.6735528
|
[4] |
G. Bekefi and T. J. Orzechowski , “ Giant microwave bursts emitted from a field-emission, relativistic-electron-beam magnetron,” Phys. Rev. Lett. 37, 379– 382 ( 1976). 10.1103/physrevlett.37.379 doi: 10.1103/physrevlett.37.379
|
[5] |
N. Kovalev , B. Kol’chugin , V. Nechaev , M. Ofitserov , E. Soluyanov , and M. Fuks , “ Relativistic magnetron with diffraction coupling,” Sov. Tech. Phys. Lett. 3, 430– 434 ( 1977).
|
[6] |
V. B. Neculaes , R. M. Gilgenbach , and Y. Y. Lau , “ Low-noise microwave magnetrons by azimuthally varying axial magnetic field,” Appl. Phys. Lett. 83, 1938– 1940 ( 2003). 10.1063/1.1609040 doi: 10.1063/1.1609040
|
[7] |
M. C. Jones , V. B. Neculaes , W. M. White , Y. Y. Lau , and R. M. Gilgenbach , “ Simulation of rapid startup in microwave magnetrons with azimuthally varying axial magnetic fields,” Appl. Phys. Lett. 84, 1016– 1018 ( 2004). 10.1063/1.1646225 doi: 10.1063/1.1646225
|
[8] |
M. C. Jones , V. B. Neculaes , Y. Y. Lau , R. M. Gilgenbach , and W. M. White , “ Cathode priming of a relativistic magnetron,” Appl. Phys. Lett. 85, 6332– 6334 ( 2004). 10.1063/1.1841454 doi: 10.1063/1.1841454
|
[9] |
M. C. Jones , V. B. Neculaes , Y. Y. Lau , R. M. Gilgenbach , W. M. White , B. W. Hoff , and N. M. Jordan , “ Magnetron priming by multiple cathodes,” Appl. Phys. Lett. 87, 081501-1– 081501-3 ( 2005). 10.1063/1.2031928 doi: 10.1063/1.2031928
|
[10] |
M. Fuks and E. Schamiloglu , “ Rapid start of oscillations in a magnetron with a “transparent” cathode,” Phys. Rev. Lett. 96, 205101-1– 205101-4 ( 2005). 10.1103/physrevlett.95.205101 doi: 10.1103/physrevlett.95.205101
|
[11] |
M. Daimon and W. Jiang , “ Modified configuration of relativistic magnetron with diffraction output for efficiency improvement,” Appl. Phys. Lett. 91, 191503-1– 191503-3 ( 2007). 10.1063/1.2803757 doi: 10.1063/1.2803757
|
[12] |
M. Daimon , K. Itoh , G. Imada , and W. Jiang , “ Experimental demonstration of relativistic magnetron with modified output configuration,” Appl. Phys. Lett. 92, 191504-1– 191504-3 ( 2008). 10.1063/1.2930684 doi: 10.1063/1.2930684
|
[13] |
M. I. Fuks and E. Schamiloglu , “ 70% efficient relativistic magnetron with axial extraction of radiation through a horn antenna,” IEEE Trans. Plasma Sci. 38, 1302– 1312 ( 2010). 10.1109/tps.2010.2042823 doi: 10.1109/tps.2010.2042823
|
[14] |
C. Leach , S. Prasad , M. I. Fuks , C. J. Buchenauer , J. McConaha , and E. Schamiloglu , “ Experimental demonstration of a high-efficiency relativistic magnetron with diffraction output with spherical cathode endcap,” IEEE Trans. Plasma Sci. 45, 282– 288 ( 2017). 10.1109/tps.2016.2644625 doi: 10.1109/tps.2016.2644625
|
[15] |
M. I. Fuks and E. Schamiloglu , “ Application of a magnetic mirror to increase total efficiency in relativistic magnetrons,” Phys. Rev. Lett. 122, 224801-1– 224801-5 ( 2019). 10.1103/physrevlett.122.224801 doi: 10.1103/physrevlett.122.224801
|
[16] |
J. Benford , “ Relativistic magnetrons,” in High-Power Microwave Sources, edited by V. L. Granatstein and I. Alexeff ( Artech House, Massachusetts, 1987), Chap. 10.
|
[17] |
S. H. Gold and G. S. Nusinovich , “ Review of high-power microwave source research,” Rev. Sci. Instrum. 68, 3945– 3974 ( 1997). 10.1063/1.1148382 doi: 10.1063/1.1148382
|
[18] |
J. Benford , J. Swegle , and E. Schamiloglu , High Power Microwaves, 3rd ed. ( CRC Press, Florida, 2015).
|
[19] | |
[20] | |
[21] |
A. W. Hull , “ The effect of a uniform magnetic field on the motion of electrons between coaxial cylinders,” Phys. Rev. 18, 31– 57 ( 1921). 10.1103/physrev.18.31 doi: 10.1103/physrev.18.31
|
[22] |
A. W. Hull , “ The magnetron,” J. Am. Inst. Electr. Eng. 40, 715– 723 ( 1921). 10.1109/joaiee.1921.6594005 doi: 10.1109/joaiee.1921.6594005
|
[23] | |
[24] |
H. F. Alexeev and D. E. Malyarov , “ Getting powerful vibrations of magnetrons in centimeter wavelength range,” Mag. Tech. Phys. 10, 1297– 1300 ( 1940).
|
[25] | |
[26] |
K. Okabe , “ On the short-wave limit of magnetron oscillations,” Proc. IRE 17, 652– 659 ( 1929). 10.1109/jrproc.1929.221722 doi: 10.1109/jrproc.1929.221722
|
[27] |
H. Yagi , “ Beam transmission of ultra-short waves,” Proc. IRE 16, 715– 740 ( 1928). 10.1109/jrproc.1928.221464 doi: 10.1109/jrproc.1928.221464
|
[28] |
A. Žaček , “ A new method for generation of undamped oscillations (a preliminary report),” Č. Pěstováni Mat. Fys. 53, 378– 380 ( 1924).
|
[29] |
E. Habann , Eine neue Generatorröhre (A New Generator Tube) ( Jahrbuch für drahtlose Telegraphie, 1924), Vol. 24.
|
[30] | |
[31] | |
[32] | |
[33] |
K. Fritz , “ Beitrag zur geschichte der magnetronentwicklung in Deutschland bis 1945” (“Contribution to the history of magnetron development in Germany until 1945”), Arch. Elektrischen Übertragung 6, 209– 210 ( 1952).
|
[34] |
H. A. H. Boot and J. T. Randall , “ The cavity magnetron,” J. Inst. Electr. Eng. 93( IIIA), 928– 938 ( 1946). 10.1049/ji-3a-1.1946.0183 doi: 10.1049/ji-3a-1.1946.0183
|
[35] |
J. E. Brittain , “ The magnetron and the beginnings of the microwave age,” Phys. Today 38( 7), 60– 67 ( 1985). 10.1063/1.880982 doi: 10.1063/1.880982
|
[36] | |
[37] |
E. Schamiloglu , R. J. Barker , M. Gundersen , and A. A. Neuber , “ Modern pulsed power: Charlie Martin and beyond,” Proc. IEEE 92, 1014– 1020 ( 2004). 10.1109/jproc.2004.829058 doi: 10.1109/jproc.2004.829058
|
[38] |
A. Palevsky and G. Bekefi , “ Microwave emission from pulsed, relativistic e-beam diodes. II. The multiresonator magnetron,” Phys. Fluids 22, 986– 996 ( 1979). 10.1063/1.862663 doi: 10.1063/1.862663
|
[39] |
O. Buneman , R. H. Levy , and L. M. Linson , “ Stability of crossed-field electron beams,” J. Appl. Phys. 37, 3203– 3222 ( 1966). 10.1063/1.1703185 doi: 10.1063/1.1703185
|
[40] |
T. J. Orzechowski and G. Bekefi , “ Microwave emission from pulsed, relativistic e-beam diodes. I. The smooth-bore magnetron,” Phys. Fluids 22, 978– 985 ( 1979). 10.1063/1.862662 doi: 10.1063/1.862662
|
[41] |
W. P. Ballard , S. A. Self , and F. W. Crawford , “ A relativistic magnetron with a thermionic cathode,” J. Appl. Phys. 53, 7580– 7591 ( 1982). 10.1063/1.330129 doi: 10.1063/1.330129
|
[42] |
J. Golden , J. Orzechowski , and G. Bekefi , “ Magnetic insulation of an intense relativistic electron beam,” J. Appl. Phys. 45, 3211– 3212 ( 1974). 10.1063/1.1663755 doi: 10.1063/1.1663755
|
[43] | |
[44] |
A. N. Didenko , A. S. Sulakshin , G. P. Fomenko , Yu. G. Shtein , and Iu. G. Iushkov , “ Intense microwave emission from a relativistic magnetron,” Sov. Tech. Phys. Lett. 4, 3– 4 ( 1978).
|
[45] |
A. N. Didenko , A. S. Sulakshin , G. P. Fomenko , V. I. Tsvetkov , Iu.G. Shtein , and Iu. G. Iushkov , “ Relativistic magnetron with microsecond pulse lengths,” Sov. Tech. Phys. Lett. 4, 331– 332 ( 1978).
|
[46] |
J. G. Small , W. O. Eckhardt , and F. Chilton , “ Decoy discrimination using ground-based high power microwaves,” Proc. SPIE 1061, 342– 349 ( 1989). 10.1117/12.951814 doi: 10.1117/12.951814
|
[47] |
J. Benford , H. Sze , W. Woo , R. R. Smith , and B. Harteneck , “ Phase locking of relativistic magnetrons,” Phys. Rev. Lett. 62, 969– 971 ( 1989). 10.1103/physrevlett.62.969 doi: 10.1103/physrevlett.62.969
|
[48] |
J. S. Levine , N. Aiello , J. Benford , and B. Harteneck , “ Design and operation of a module of phase-locked relativistic magnetrons,” J. Appl. Phys. 70, 2838– 2848 ( 1991). 10.1063/1.349347 doi: 10.1063/1.349347
|
[49] |
K. A. Sharypov , V. V. Rostov , A. G. Sadykova , V. G. Shpak , S. A. Shunailov , and M. I. Yalandin , “ A phase-stabilized superradiant Ka-band oscillator driven by nanosecond voltage pulses with amplitude variations and reduced rise rates,” Appl. Phys. Lett. 113, 223502-1– 223502-5 ( 2018). 10.1063/1.5055596 doi: 10.1063/1.5055596
|
[50] |
A. D. Andreev , “ Computer simulations of frequency- and phase-locking of cavity magnetrons,” J. Electromagn. Wave Appl. 32, 1501– 1518 ( 2018). 10.1080/09205071.2018.1452636 doi: 10.1080/09205071.2018.1452636
|
[51] |
J. S. Levine , B. D. Harteneck , and H. D. Price , “ Frequency-agile relativistic magnetrons,” Proc. SPIE 2557, 74– 79 ( 1995).
|
[52] |
J. Benford , J. Swegle , and E. Schamiloglu , High Power Microwaves, 3rd ed. ( CRC Press, Florida, 2015), pp. 190– 192.
|
[53] |
M. C. Jones , R. M. Gilgenbach , W. M. White , M. R. Lopez , V. B. Neculaes , and Y. Y. Lau , “ Projection ablation lithography cathode for high-current, relativistic magnetron,” Rev. Sci. Instrum. 75, 2976– 2980 ( 2004). 10.1063/1.1784561 doi: 10.1063/1.1784561
|
[54] |
H. Bosman , M. Fuks , S. Prasad , and E. Schamiloglu , “ Improvement of the output characteristics of magnetrons using the transparent cathode,” IEEE Trans. Plasma Sci. 34, 606– 619 ( 2006). 10.1109/tps.2006.875771 doi: 10.1109/tps.2006.875771
|
[55] |
T. P. Fleming , P. J. Mardahl , L. Bowers , K. Cartwright , M. T. Bettencourt , and M. D. Haworth , “ Virtual prototyping of novel cathodes for the relativistic magnetron,” Comput. Sci. Eng. 9, 18– 28 ( 2007). 10.1109/mcse.2007.131 doi: 10.1109/mcse.2007.131
|
[56] | |
[57] |
V. B. Neculaes , M. C. Jones , R. M. Gilgenbach , Y. Y. Lau , J. W. Luginsland , B. W. Hoff , W. M. White , N. M. Jordan , P. Pengvanich , Y. Hidaka , and H. L. Bosman , “ Magnetic perturbation effects on noise and startup in DC-operating oven magnetrons,” IEEE Trans. Plasma Sci. 52, 864– 871 ( 2005). 10.1109/ted.2005.845857 doi: 10.1109/ted.2005.845857
|
[58] |
B. Goplen , L. Ludeking , D. Smith , and G. Warren , “ User-configurable MAGIC for electromagnetic PIC calculations,” Comput. Phys. Commun. 87, 54– 86 ( 1995). 10.1016/0010-4655(95)00010-d doi: 10.1016/0010-4655(95)00010-d
|
[59] | |
[60] |
J. Benford and G. Benford , “ Survey of pulse shortening in high-power microwave sources,” IEEE Trans. Plasma Sci. 25, 311– 317 ( 1997). 10.1109/27.602505 doi: 10.1109/27.602505
|
[61] |
E. Schamiloglu and Y. Y. Lau , “ The 7th special issue on high-power microwave generation,” IEEE Trans. Plasma Sci. 26, 232– 234 ( 1998). 10.1109/tps.1998.700748 doi: 10.1109/tps.1998.700748
|
[62] |
F. J. Agee , “ Evolution of pulse shortening research in narrow band, high power microwave sources,” IEEE Trans. Plasma Sci. 26, 235– 245 ( 1998). 10.1109/27.700749 doi: 10.1109/27.700749
|
[63] |
High Power Microwave Sources and Technologies, edited by R. J. Barker and E. Schamiloglu ( IEEE Press; John Wiley and Sons, New York, 2001), Chap. 4.
|
[64] |
D. Price , J. S. Levine , and J. Benford , “ Diode plasma effects on the microwave pulse length from relativistic magnetrons,” IEEE Trans. Plasma Sci. 26, 348– 353 ( 1998). 10.1109/27.700765 doi: 10.1109/27.700765
|
[65] |
D. Shiffler , M. Haworth , K. Cartwright , R. Umstattd , M. Ruebush , S. Heidger , M. LaCour , K. Golby , D. Sullivan , P. Duselis , and J. Luginsland , “ Review of cold cathode research at the Air Force Research Laboratory,” IEEE Trans. Plasma Sci. 36, 718– 728 ( 2008). 10.1109/tps.2008.926227 doi: 10.1109/tps.2008.926227
|
[66] |
D. A. Shiffler , J. Heggemeier , M. J. LaCour , K. Golby , and M. Ruebush , “ Low level plasma formation in a carbon velvet cesium iodide coated cathode,” Phys. Plasmas 11, 1680– 1684 ( 2004). 10.1063/1.1666571 doi: 10.1063/1.1666571
|
[67] |
M. Fuks and E. Schamiloglu , “ Optimization of the parameters of a relativistic magnetron with diffraction output,” Proc. SPIE 4720, 18– 27 ( 2002). 10.1117/12.469840 doi: 10.1117/12.469840
|
[68] |
M. Fuks , N. F. Kovalev , A. Andreev , and E. Schamiloglu , “ Mode conversion in a magnetron with axial extraction of radiation,” IEEE Trans. Plasma Sci. 34, 620– 626 ( 2006). 10.1109/tps.2006.875770 doi: 10.1109/tps.2006.875770
|
[69] |
W. Li and Y. G. Liu , “ An efficient mode conversion configuration in relativistic magnetron with axial diffraction output,” J. Appl. Phys. 106, 053303-1– 053303-3 ( 2009). 10.1063/1.3211323 doi: 10.1063/1.3211323
|
[70] |
W. Li and Y. G. Liu , “ Choosing optimum method for the efficient design of a relativistic magnetron with diffraction output,” J. Appl. Phys. 108, 113303-1– 113303-5 ( 2010). 10.1063/1.3520219 doi: 10.1063/1.3520219
|
[71] |
W. Li and Y. G. Liu , “ Modified magnetic field distribution in relativistic magnetron with diffraction output for compact operation,” Phys. Plasmas 18, 023103-1– 023103-4 ( 2011). 10.1063/1.3551759 doi: 10.1063/1.3551759
|
[72] |
W. Li , J. Zhang , Y. G. Liu , H.-W. Yang , and D.-F. Shi , “ Frequency agile characteristics of a dielectric filled relativistic magnetron with diffraction output,” Appl. Phys. Lett. 101, 223506-1– 223506-3 ( 2012). 10.1063/1.4768691 doi: 10.1063/1.4768691
|
[73] |
W. Li , Y.-G. Liu , T. Shu , H.-W. Yang , Y.-W. Fan , C.-W. Yuan , and J. Zhang , “ Experimental demonstration of a compact high efficient relativistic magnetron with directly axial radiation,” Phys. Plasmas 19, 013105-1– 013105-4 ( 2012). 10.1063/1.3677882 doi: 10.1063/1.3677882
|
[74] |
W. Li , Y.-G. Liu , J. Zhang , T. Shu , H.-W. Yang , Y.-W. Fan , and C.-W. Yuan , “ Effects of the transparent cathode on the performance of a relativistic magnetron with axial radiation,” Rev. Sci. Instrum. 83, 024707-1– 024707-4 ( 2012). 10.1063/1.3681445 doi: 10.1063/1.3681445
|
[75] |
W. Li , Y. G. Liu , J. Zhang , H.-W. Yang , and B.-L. Qian , “ Experimental investigations of the TE 11 mode radiation from a relativistic magnetron with diffraction output ,” Phys. Plasmas 19, 113108-1– 113108-3 ( 2012). 10.1063/1.4767647 doi: 10.1063/1.4767647
|
[76] |
W. Li , Y.-G. Liu , J. Zhang , D.-F. Shi , and W. Q. Zhang , “ Experimental investigations on the relations between configurations and radiation patterns of a relativistic magnetron with diffraction output,” J. Appl. Phys. 113, 023304-1– 023304-4 ( 2013). 10.1063/1.4774245 doi: 10.1063/1.4774245
|
[77] |
D.-F. Shi , B.-L. Qian , H.-G. Wang , W. Li , and Y.-W. Wang , “ A compact mode conversion configuration in relativistic magnetron with a TE 10 output mode ,” IEEE Trans. Plasma Sci. 43, 3512– 3516 ( 2015). 10.1109/tps.2015.2433731 doi: 10.1109/tps.2015.2433731
|
[78] |
D.-F. Shi , B.-L. Qian , H.-G. Wang , and W. Li , “ A novel TE 11 mode axial output structure for a compact relativistic magnetron ,” J. Phys. D: Appl. Phys. 49– 135103-1– 135103-6 ( 2016). 10.1088/0022-3727/49/13/135103 doi: 10.1088/0022-3727/49/13/135103
|
[79] |
D.-F. Shi , B.-L. Qian , H.-G. Wang , W. Li , and G.-X. Du , “ A novel relativistic magnetron with circularly polarized TE 11 coaxial waveguide mode ,” J. Phys. D: Appl. Phys. 49, 465104-1– 465104-7 ( 2016). 10.1088/0022-3727/49/46/465104 doi: 10.1088/0022-3727/49/46/465104
|
[80] |
D.-F. Shi , B.-L. Qian , H.-G. Wang , W. Li , and G.-X. Du , “ Theoretical investigations on radiation generation of TEM, linearly or circularly polarized TE n1 coaxial waveguide mode in relativistic magnetron ,” Sci. Rep. 7, 1491-1– 1491-11 ( 2017). 10.1038/s41598-017-01583-w doi: 10.1038/s41598-017-01583-w
|
[81] |
D.-F. Shi , B.-L. Qian , H.-G. Wang , W. Li , and G.-X. Du , “ A frequency tunable relativistic magnetron with a wide operation regime,” AIP Adv. 7, 025010-1– 025010-12 ( 2017). 10.1063/1.4971760 doi: 10.1063/1.4971760
|
[82] |
D.-F. Shi , B.-L. Qian , H.-G. Wang , W. Li , J.-C. Ju , and G.-X. Du , “ A modified relativistic magnetron with TEM output mode,” Phys. Plasmas 24, 013118-1– 013118-6 ( 2017). 10.1063/1.4975006 doi: 10.1063/1.4975006
|
[83] |
W. Yang , Z. Dong , Y. Yang , and Y. Dong , “ Numerical investigation of the relativistic magnetron using a novel semitransparent cathode,” IEEE Trans. Plasma Sci. 42, 3458– 3464 ( 2014). 10.1109/tps.2014.2359434 doi: 10.1109/tps.2014.2359434
|
[84] |
X.-Y. Wang , Y.-W. Fan , D.-F. Shi , and T. Shu , “ A high-efficiency relativistic magnetron with the filled dielectric,” Phys. Plasmas 23, 073103-1– 073103-4 ( 2016). 10.1063/1.4956460 doi: 10.1063/1.4956460
|
[85] |
L. Lei , F. Qin , S. Xu , and D. Wang , “ Preliminary experimental investigation of a compact high-efficiency relativistic magnetron with low guiding magnetic field,” IEEE Trans. Plasma Sci. 47, 209– 213 ( 2019). 10.1109/tps.2018.2879820 doi: 10.1109/tps.2018.2879820
|
[86] |
S. Li , Y. Fan , and X. Wang , “ An L-band relativistic magnetron with cathode priming,” IEEE Trans. Plasma Sci. 47, 204– 208 ( 2019). 10.1109/tps.2018.2881174 doi: 10.1109/tps.2018.2881174
|
[87] |
F. Qin , S. Xu , L.-R. Lei , B.-Q. Ju , and D. Wang , “ A compact relativistic magnetron with lower output mode,” IEEE Trans. Electron Devices 66, 1960– 1964 ( 2019). 10.1109/ted.2019.2898446 doi: 10.1109/ted.2019.2898446
|
[88] |
T. Li , J. Li , and B. Hu , “ Experimental studies on the A6 relativistic magnetron with permanent magnet,” IEEE Trans. Plasma Sci. 39, 1776– 1780 ( 2011). 10.1109/tps.2011.2160097 doi: 10.1109/tps.2011.2160097
|
[89] |
M. Liu , M. I. Fuks , E. Schamiloglu , and C. Liu , “ Operation characteristics of 12-cavity relativistic magnetron with single-stepped cavities,” IEEE Trans. Plasma Sci. 42, 3283– 3287 ( 2014). 10.1109/tps.2014.2311458 doi: 10.1109/tps.2014.2311458
|
[90] |
M. Liu , M. I. Fuks , E. Schamiloglu , and C. Liu , “ Operation characteristics of A6 relativistic magnetron using single-stepped cavities with axial extraction,” IEEE Trans. Plasma Sci. 42, 3344– 3348 ( 2014). 10.1109/tps.2014.2352353 doi: 10.1109/tps.2014.2352353
|
[91] |
M. Liu , L. I. Bolun , C.-L. Liu , M. Fuks , and E. Schamiloglu , “ Simulation of secondary electron emission and backscattered electron emission in A6 relativistic magnetron driven by different cathodes,” Plasma Sci. Technol. 17, 64– 70 ( 2015). 10.1088/1009-0630/17/1/12 doi: 10.1088/1009-0630/17/1/12
|
[92] |
M. Liu , E. Schamiloglu , M. I. Fuks , C. Liu , and W. Jiang , “ Operation characteristics of a 12-cavity relativistic magnetron when considering secondary and backscattered electron emission,” IEEE Trans. Plasma Sci. 43, 1855– 1861 ( 2015). 10.1109/tps.2015.2415498 doi: 10.1109/tps.2015.2415498
|
[93] |
M. Liu , C.-L. Liu , Z. Huang , E. Schamiloglu , M. Fuks , and W. Jiang , “ Investigation of the operating characteristics of a 12-cavity rising-sun relativistic magnetron with diffraction output using particle-in-cell simulations,” Phys. Plasmas 23, 052104-1– 052104-9 ( 2016). 10.1063/1.4948467 doi: 10.1063/1.4948467
|
[94] |
M. Liu , C. Liu , Z. Wang , W. Jiang , and E. Schamiloglu , “ Optimizing the parameters of a 12-cavity rising-sun relativistic magnetron with single-stepped cavities for π-mode operation,” IEEE Trans. Plasma Sci. 44, 2852– 2858 ( 2016). 10.1109/tps.2016.2609922 doi: 10.1109/tps.2016.2609922
|
[95] |
M. Liu , E. Schamiloglu , W. Jiang , M. Fuks , and C. Liu , “ Investigation of the operating characteristics of a 12 stepped-cavity relativistic magnetron with axial extraction driven by an ‘F’ transparent cathode using particle-in-cell simulations,” Phys. Plasmas 23, 112109-1– 112109-10 ( 2016). 10.1063/1.4967707 doi: 10.1063/1.4967707
|
[96] |
M. Liu , E. Schamiloglu , C. Liu , M. I. Fuks , W. Jiang , and J. Feng , “ ‘Crab-like’ A6 relativistic magnetron with diffraction output driven by a transparent cathode,” Phys. Plasmas 26, 013301-1– 013301-4 ( 2019). 10.1063/1.5079761 doi: 10.1063/1.5079761
|
[97] |
Y. Hadas , A. Sayapin , Y. E. Krasik , V. Bernshtam , and I. Schnitzer , “ Plasma dynamics during relativistic S-band magnetron operation,” J. Appl. Phys. 104, 064125-1– 064125-7 ( 2008). 10.1063/1.2986520 doi: 10.1063/1.2986520
|
[98] |
A. Sayapin , Y. Hadas , and Y. E. Krasik , “ Drastic improvement in the S-band relativistic magnetron operation,” Appl. Phys. Lett. 95, 074101-1– 074101-3 ( 2009). 10.1063/1.3206939 doi: 10.1063/1.3206939
|
[99] |
Y. Hadas , A. Sayapin , T. Kweller , and Y. E. Krasik , “ S-band relativistic magnetron operation with an active plasma cathode,” J. Appl. Phys. 105, 083307-1– 083307-7 ( 2009). 10.1063/1.3108590 doi: 10.1063/1.3108590
|
[100] |
Y. Hadas , T. Kweller , A. Sayapin , Y. E. Krasik , and V. Bernshtam , “ Plasma parameters of an active cathode during relativistic magnetron operation,” J. Appl. Phys. 106, 063306-1– 063306-5 ( 2009). 10.1063/1.3225915 doi: 10.1063/1.3225915
|
[101] |
A. Sayapin and Y. E. Krasik , “ Numerical simulation of the magnetron operation with resonance load,” J. Appl. Phys. 107, 074501-1– 074501-7 ( 2010). 10.1063/1.3359679 doi: 10.1063/1.3359679
|
[102] |
A. Sayapin and A. Shlapakovski , “ Transient operation of the relativistic S-band magnetron with radial output,” J. Appl. Phys. 109, 063301-1– 063301-5 ( 2011). 10.1063/1.3553839 doi: 10.1063/1.3553839
|
[103] |
T. Queller , J. Z. Gleizer , and Y. E. Krasik , “ Secondary-electrons-induced cathode plasma in a relativistic magnetron,” Appl. Phys. Lett. 101, 214101-1– 214101-4 ( 2012). 10.1063/1.4767953 doi: 10.1063/1.4767953
|
[104] |
A. Sayapin , A. Levin , and Y. E. Krasik , “ Stabilization of the frequency of relativistic S-band magnetron with radial output,” IEEE Trans. Plasma Sci. 41, 3001– 3004 ( 2013). 10.1109/tps.2013.2280818 doi: 10.1109/tps.2013.2280818
|
[105] |
J. G. Leopold , A. S. Shlapakovski , A. Sayapin , and Y. E. Krasik , “ Revisiting power flow and pulse shortening in a relativistic magnetron,” IEEE Trans. Plasma Sci. 43, 3168– 3175 ( 2015). 10.1109/tps.2015.2463717 doi: 10.1109/tps.2015.2463717
|
[106] |
A. Sayapin , A. Levin , and Y. E. Krasik , “ Operation of a six-cavity S-band relativistic magnetron at frequencies in the range of its resonant response,” IEEE Trans. Plasma Sci. 43, 3827– 3832 ( 2015). 10.1109/tps.2015.2482822 doi: 10.1109/tps.2015.2482822
|
[107] |
J. G. Leopold , A. S. Shlapakovski , A. F. Sayapin , and Y. E. Krasik , “ Pulse-shortening in a relativistic magnetron: The role of anode block axial endcaps,” IEEE Trans. Plasma Sci. 44, 1375– 1385 ( 2016). 10.1109/tps.2016.2580613 doi: 10.1109/tps.2016.2580613
|
[108] |
A. Sayapin , U. Dai , and Y. E. Krasik , “ S-band relativistic magnetron operation with multichannel radial outputs of the microwave power,” IEEE Trans. Plasma Sci. 45, 229– 234 ( 2017). 10.1109/tps.2016.2647320 doi: 10.1109/tps.2016.2647320
|
[109] |
Y. E. Krasik , J. G. Leopold , and U. Dai , “ A relativistic magnetron operated with permanent magnets,” IEEE Trans. Plasma Sci. 47, 3997– 4005 ( 2019). 10.1109/tps.2019.2926535 doi: 10.1109/tps.2019.2926535
|
[110] |
W. M. White , R. M. Gilgenbach , M. C. Jones , V. B. Neculaes , Y. Y. Lau , P. Pengvanich , N. M. C. Jordan , B. W. Hoff , R. Edgar , T. A. Spencer , and D. Price , “ Radio frequency priming of a long-pulse relativistic magnetron,” IEEE Trans. Plasma Sci. 34, 627– 634 ( 2006). 10.1109/tps.2006.875829 doi: 10.1109/tps.2006.875829
|
[111] |
R. Adler , “ A study of locking phenomena in oscillators,” Proc. IEEE 61, 1380– 1385 ( 1973). 10.1109/proc.1973.9292 doi: 10.1109/proc.1973.9292
|
[112] |
M. Liu , C. Michel , S. Prasad , M. Fuks , E. Schamiloglu , and C.-L. Liu , “ RF mode switching in a relativistic magnetron with diffraction output,” Appl. Phys. Lett. 97, 251501-1– 251501-3 ( 2010). 10.1063/1.3529463 doi: 10.1063/1.3529463
|
[113] |
M. Liu , C.-L. Liu , D. Galbreath , C. Michel , S. Prasad , M. I. Fuks , and E. Schamiloglu , “ Frequency switching in a relativistic magnetron with diffraction output,” J. Appl. Phys. 110, 033304-1– 033304-7 ( 2011). 10.1063/1.3614037 doi: 10.1063/1.3614037
|
[114] |
M. Liu , M. Fuks , E. Schamiloglu , and C.-L. Liu , “ Frequency switching in a 12-cavity relativistic magnetron with axial extraction of radiation,” IEEE Trans. Plasma Sci. 40, 1569– 1574 ( 2012). 10.1109/tps.2012.2196291 doi: 10.1109/tps.2012.2196291
|
[115] |
B. van der Pol , “ The nonlinear theory of electric oscillations,” Proc. IRE 22, 1051– 1086 ( 1934). 10.1109/jrproc.1934.226781 doi: 10.1109/jrproc.1934.226781
|
[116] |
C. Leach , S. Prasad , M. Fuks , and E. Schamiloglu , “ Compact relativistic magnetron with Gaussian radiation pattern,” IEEE Trans. Plasma Sci. 40, 3116– 3120 ( 2012). 10.1109/tps.2012.2212910 doi: 10.1109/tps.2012.2212910
|
[117] |
C. Leach , S. Prasad , M. Fuks , and E. Schamiloglu , “ Compact A6 magnetron with permanent magnet,” in Proceedings of the 2012 IEEE International Vacuum Electronics Conference ( IEEE, Monterey, CA, 2012), pp. 491– 492.
|
[118] | |
[119] | |
[120] |
C. Leach , S. Prasad , M. Fuks , and E. Schamiloglu , “ Suppression of leakage current in a relativistic magnetron using a novel design cathode endcap,” IEEE Trans. Plasma Sci. 40, 2089– 2093 ( 2012). 10.1109/tps.2012.2199136 doi: 10.1109/tps.2012.2199136
|
[121] | |
[122] |
M. I. Fuks , S. Prasad , and E. Schamiloglu , “ Efficient magnetron with a virtual cathode,” IEEE Trans. Plasma Sci. 44, 1298– 1302 ( 2016). 10.1109/tps.2016.2525921 doi: 10.1109/tps.2016.2525921
|
[123] | |
[124] |
M. I. Fuks , D. A. Andreev , A. Kuskov , and E. Schamiloglu , “ Low energy state electron beam in a uniform channel,” Plasma 2, 222– 228 ( 2019). 10.3390/plasma2020016 doi: 10.3390/plasma2020016
|
[125] | |
[126] | |
[127] |
R. M. Gilgenbach , Y. Y. Lau , D. M. French , B. W. Hoff , M. Franzi , and J. Luginsland , “ Recirculating planar magnetrons for high-power high-frequency radiation generation,” IEEE Trans. Plasma Sci. 39, 980– 987 ( 2011). 10.1109/tps.2010.2099670 doi: 10.1109/tps.2010.2099670
|
[128] |
M. A. Franzi , R. M. Gilgenbach , B. W. Hoff , D. A. Chalenski , D. Simon , Y. Y. Lau , and J. Luginsland , “ Recirculating-planar-magnetron simulations and experiment,” IEEE Trans. Plasma Sci. 41, 639– 645 ( 2013). 10.1109/tps.2013.2242493 doi: 10.1109/tps.2013.2242493
|
[129] |
M. Franzi , R. Gilgenbach , Y. Y. Lau , B. Hoff , G. Greening , and P. Zhang , “ Passive mode control in the recirculating planar magnetron,” Phys. Plasmas 20, 033108-1– 033108-8 ( 2013). 10.1063/1.4794967 doi: 10.1063/1.4794967
|
[130] |
D. H. Simon , Y. Y. Lau , G. Greening , P. Wong , B. W. Hoff , and R. M. Gilgenbach , “ Stability of Brillouin flow in planar, conventional, and inverted magnetrons,” Phys. Plasmas 22, 082104-1– 082104-5 ( 2015). 10.1063/1.4927798 doi: 10.1063/1.4927798
|
[131] |
M. A. Franzi , G. B. Greening , N. M. Jordan , R. M. Gilgenbach , D. H. Simon , Y. Y. Lau , B. W. Hoff , and J. Luginsland , “ Microwave power and phase measurements on a recirculating planar magnetron,” IEEE Trans. Plasma Sci. 43, 1675– 1682 ( 2015). 10.1109/tps.2015.2417774 doi: 10.1109/tps.2015.2417774
|
[132] |
G. B. Greening , N. M. Jordan , S. C. Exelby , D. H. Simon , Y. Y. Lau , and R. M. Gilgenbach , “ Multi-frequency recirculating planar magnetrons,” Appl. Phys. Lett. 109, 074101-1– 074101-4 ( 2016). 10.1063/1.4961070 doi: 10.1063/1.4961070
|
[133] |
G. B. Greening , S. C. Exelby , D. A. Packard , N. M. Jordan , Y. Y. Lau , and R. M. Gilgenbach , “ Harmonic frequency locking in the multifrequency recirculating planar magnetron,” IEEE Trans. Electron Devices 65, 2347– 2353 ( 2018). 10.1109/ted.2018.2810240 doi: 10.1109/ted.2018.2810240
|
[134] |
N. M. Jordan , G. B. Greening , S. C. Exelby , D. A. Packard , Y. Y. Lau , and R. M. Gilgenbach , “ Pulse shortening in recirculating planar magnetrons,” IEEE Trans. Electron Devices 65, 2354– 2360 ( 2018). 10.1109/ted.2018.2807739 doi: 10.1109/ted.2018.2807739
|
[135] |
P. L. Kapitza , “ The prospects for the future development of high-power electronics,” in High-Power Microwave Electronics ( Pergamon Press; The Macmillan Company, New York, 1964), pp. 106– 114.
|
[136] | |
[137] |
D. M. French , B. W. Hoff , Y. Y. Lau , and R. M. Gilgenbach , “ Negative, positive, and infinite mass properties of a rotating electron beam,” Appl. Phys. Lett. 97, 111501-1– 111501-3 ( 2010). 10.1063/1.3488833 doi: 10.1063/1.3488833
|
[138] | |
[139] |
S. Ashby , R. R. Smith , N. Aiello , J. N. Benford , N. Cooksey , D. V. Drury , B. D. Harteneck , J. S. Levine , P. Sincerny , L. Thompson , and L. Schlitt , “ High peak and average power with an L-band relativistic magnetron on CLIA,” IEEE Trans. Plasma Sci. 20, 344– 350 ( 1992). 10.1109/27.142835 doi: 10.1109/27.142835
|
[140] |
N. M. Jordan , G. B. Greening , B. W. Hoff , S. S. Maestas , S. C. Exelby , and R. M. Gilgenbach , “ Additively manufactured high power microwave anodes,” IEEE Trans. Plasma Sci. 44, 1258– 1264 ( 2016). 10.1109/tps.2016.2565261 doi: 10.1109/tps.2016.2565261
|
[141] |
D. Gamzina , M. Kozina , A. Mehta , E. A. Nanni , S. Tantawi , P. B. Welander , T. Horn , and C. Ledford , “ Copper reconsidered: Material innovations to transform vacuum electronics,” in Abstracts for IVEC 2019 ( Busan, South Korea, 2019), Vol. 23, No. 1.
|