GYROTRON FREQUENCY STABILIZATION UNDER THE INFLUENCE OF EXTERNAL MONOCHROMATIC SIGNAL OR WAVE REFLECTED FROM THE LOAD: REVIEW
Cite this article as:
Novozhilova Y. V., Denisov G. G., Glyavin M. Y., Ryskin N. M., Bakunin V. L., Bogdashov A. A., Melnikova M. M., Fokin A. . GYROTRON FREQUENCY STABILIZATION UNDER THE INFLUENCE OF EXTERNAL MONOCHROMATIC SIGNAL OR WAVE REFLECTED FROM THE LOAD: REVIEW. Izvestiya VUZ. Applied Nonlinear Dynamics, 2017, vol. 25, iss. 1, pp. 4-34. DOI: https://doi.org/10.18500/0869-6632-2017-25-1-5-34
We study gyrotron frequency locking by the external monochromatic wave and stabilization of gyrotron frequency by the wave reflected from the non-resonant or resonant load. Although in the last decades influence of the external monochromatic signal and the reflected wave at the gyrotron operation was studied in a number of publications, concrete schemes of gyrotron frequency stabilization weren’t discussed. The study of frequency stabilization by the wave coming into the cavity from the external electrodynamic tract, has become particularly actual after the development in Institute of Applied Physics RAS (IAP RAS) the quasi-optical converter, which allows to transform a large part of wave coming from the output tract into the gyrotron operating mode.
We use the fixed field longitudinal structure approximation, which is correct at a sufficiently high Q-factor of gyrotron cavity. This approximation permits us to get analytically some results of influence of the reflected wave on gyrotron. In the numerical simulation of multimode gyrotron frequency locking by an external monochromatic signal, this approximation allows us to study several modes competition, including non-equidistant modes, the frequency distance between which can be comparable with the cyclotron absorption linewidth. Numerical simulation of the external signal and the reflected wave influence on gyrotron regime is carried out at the example megawatt gyrotron with an operating frequency 170 GHz.
The regions where the operating mode is generated at the frequency of the external signal (lock-in zones), for a multimode gyrotron were founded. It is shown, that in lock-in regime multi-mode gyrotron can achieve higher efficiencies and operation frequency tuning increases by several times compared to free gyrotron. The scenario of electron beam parameters variation was similar with the real one, used to build up the high-efficiency generation in the gyrotron. Under the influence of the reflected wave gyrotron oscillation frequency can be kept within a narrow band, equal for the non-resonant reflector to the distance between modes of long delay line, and for high-resonant reflector – band external cavity. The cavity eigen-frequency of gyrotron can be varied in a much wider range of 5–6 times the range of variation of the frequency of radiation.
The results permit us to conclude that the influence of external monochromatic or narrowband reflected wave is an attractive method for frequency stabilization of gyrotron.
DOI: 10.18500/0869-6632-2017-25-1-5-34
Paper reference: Novozhilova Yu.V., Denisov G.G., Glyavin M.Yu., Ryskin N.M., Bakunin V.L., Bogdashov A.A., Melnikova M.M., Fokin A.P. Gyrotron frequency stabilization under the influence of external monochromatic signal or wave reflected from the load: Review. Izvestiya VUZ. Applied Nonlinear Dynamics. 2017. Vol. 25, Issue 1. P. 5–34.
1. Litvak A., Denisov G., Myasnikov V., Tai E., Azizov E., Ilin V. Development in Russia of megawatt power gyrotrons for fusion. International Journal of Infrared, Millimeter and Terahertz Waves. 2011. Vol. 32, Issue 3. P. 337–342.
2. Khutoryan E.M., Idehara T., Kuleshov A.N., Tatematsu Y., Yamaguchi Y., Matsuki Y., Fujiwara T. Stabilization of gyrotron frequency by PID feedback control on the acceleration voltage. Journal of Infrared, Millimeter, and Terahertz Waves. 2015. Vol. 36, Issue 12. P. 1157–1163.
3. Idehara T., Mitsudo S., Ogawa I. Development of high-frequency, highly stable gyrotrons as millimeter to submillimeter wave radiation sources. IEEE Transactions on Plasma Science. 2004. Vol. 32, Issue 3. P. 910–916.
4. Golubiatnikov G.Yu., Krupnov A.F., Lubyako L.V., Luchinin A.G., Pavelyev A.B., Petelin M.I., Fernandez Curto A. Gyrotron frequency control by a phase lock system. Technical Physics Letters. 2006. Vol. 32, Issue 8. P. 650–652.
5. Glyavin M., Luchinin A., Morozkin M. The Ka-band 10-kW continuous wave gyrotron with wide-band fast frequency sweep. Review of Scientific Instruments. 2012. Vol. 83, Issue 7. P. 074706(1)-074706(3).
6. Ergakov V.S., Moiseev M.A. Journal of Communications Technology and Electronics. 1978. Issue 12. P. 2591–2599.
7. Nusinovich G.S. Introduction to the Physics of Gyrotrons. Baltimore: The Johns Hopkins University Press, 2004. 335 p.
8. McCurdy A.H., Armstrong C.M. Mode selection by application of an external signal in an overmoded gyrotron oscillator. Physical Review Letters. 1988. Vol. 61, Issue 20. P. 2316–2319.
9. Antonsen T.M., Cai S.Y., Nusinovich G.S. Effect of window reflection on gyrotron operation. Phys. Fluids B. 1992. Vol. 4, Issue 12. P. 4131–4139.
10. Airila M., Dumbrajs O., Kall P., Piosczyk B. Influence of reflections on the operation of the 2 MW, CW 170 GHz coaxial cavity gyrotron for ITER. Nuclear Fusion. 2003. Vol. 43, Issue 11. P. 1454–1457.
11. Ginzburg N.S., Glyavin M.Yu., Zavol’skii N.A., Zapevalov V.E., Moiseev M.A., Novozhilova Yu.V. A proposal to use reflection with delay for achieving the selfmodulation and stochastic regimes in millimeter-wave gyrotrons. Technical Physics Letters. 1998. Vol. 24, Issue 6. P. 436–438.
12. Dumbrajs O., Idehara T., Watanabe S., Kimura A., Sasagawa H., Agusu L., Mitsudo S., Piosczyk B. Reflections in gyrotrons with axial output. IEEE Transactions on Plasma Science. 2004. Vol. 32, Issue 3. P. 899–902.
13. Borie E. Effect of reflection on gyrotron operation IEEE Transactions on Microwave Theory and Techniques. 2001. Vol. 49, Issue 7. P. 1342–1345.
14. Grudiev A., Schunemann K. Nonstationary behavior of a gyrotron in the presence of reflections. Int. Journal of Infrared, Millimeter and Terahertz Waves. 2003. Vol. 24, Issue 4. P. 429–449.
15. Glyavin M.Yu., Zapevalov V.E. Reflection influence on the gyrotron oscillation regimes. Int. Journal of Infrared and Millimeter Waves. 1998. Vol. 19, Issue 11. P. 1499–1511.
16. Dumbrajs O. Influence of possible reflections on the operation of European ITER gyrotrons. Journal of Infrared, Millimeter and Terahertz Waves. 2010. Vol. 31, Issue 8. P. 892–898.
17. Novozhilova Yu. V., Ryskin N. M., Chumakova M. M. Effect of reflection from remote load on mode competition in gyrotron with quasi-optical mode convertor. Izvestiya VUZ. Applied Nonlinear Dynamics. 2012. Vol. 20, Issue 6. P. 136–147.
18. Batanov G.M., Kolik L.V., Novozhilova Yu.V., Petelin M.I., Petrov A.E., Sarksyan K.A., Skvortsova N.N., Kharchev N.K. Response of a gyrotron to small-amplitude low-frequency-modulated microwaves reflected from a plasma. Technical Physics. 2001. Vol. 46, Issue 5. P. 595–600.
19. Chirkov A.V., Denisov G.G., Kuftin A.N. Perspective gyrotron with mode converter for co- and counter-rotation operating modes. Applied Physics Letters. 2015. Vol. 106. P. 263501. DOI: 10.1063/1.4923269
20. Ginzburg N.S., Sergeev A.S., Zotova I.V. Time-domain self-consistent theory of frequency-locking regimes in gyrotrons with low-Q resonators. Physics of Plasmas. 2015. Vol. 22. P. 033101-1-5.
21. Zotova I.V., Ginzburg N.S., Denisov G.G., Rozental’ R.M., Sergeev A.S. Frequency locking and stabilization regimes in high-power gyrotrons with low-Q resonators. Radiophysics and Quantum Electronics. 2016. Vol. 58, Issue 9. P. 684–693.
22. Bakunin V.L., Denisov G.G., Novozhilova Y.V. Frequency and phase stabilization of a multimode gyrotron with megawatt power by an external signal. Technical Physics Letters. 2014. Vol. 40, Issue 5. P. 382–385.
23. Bakunin V.L., Denisov G.G., Novozhilova Yu.V. Zones of frequency locking by an external signal in a multimode gyrotron of a megawatt power level. Radiophysics and Quantum Electronics. 2016. Vol. 58, Issue 12. P. 893–904.
24. Melnikova M.M., Rozhnev A.G., Ryskin N.M., Tyshkun A.V., Glyavin M.Yu., Novozhilova Yu.V. Frequency stabilization of a 0.67-THz gyrotron by self-injection locking. IEEE Transactions on Electron Devices. 2016. Vol. 63, Issue 3. P. 1288– 1293. DOI: 10.1109/TED.2015.2512868
25. Glyavin M.Yu., Denisov G.G., Kulygin M.L., Mel’nikova M.M., Novozhilova Yu.V., Ryskin N.M. Gyrotron frequency stabilization by a weak reflected wave. Radiophysics and Quantum Electronics. 2016. Vol. 58, Issue 9. P. 673–683.
26. Bakunin V.L., Denisov G.G., Novozhilova Yu.V., Fokin A.P. Mode competition influence on frequency locking of a multimode gyrotron by a monochromatic external signal. Radiophysics and Quantum Electronics. 2017. Vol. 59, Issue 8–9.
27. Myasnikov V., Agapova M., Kuftin A., Zapevalov V., Denisov G., Ilin V., Belnova V., Chirkov A., Gnedenkov A., Litvak A., Malygin V., Nichiporenko V., Novikov V., Popov L., Roy I., Rukavishnikova V., Tay E., Sokolov E., Soluyanova E., Usachev S. Progress of 1.5–1.7 MW/170 GHz Gyrotron Development. Proc. 38th Int. Conference on Infrared, Millimeter and Terahertz Waves (IRMMW-Thz 2013). Germany: Mainz on the Rhine, 2013. TU1-6.
28. Novozhilova Yu.V., Ryskin N.M., Usacheva S.A. Nonstationary processes in an oscillator with delayed reflection from the load. Technical Physics. 2011. Vol. 56, Issue 9. P. 1235–1242.
29. Ishchenko A.S., Novozhilova Yu.V., Petelin M.I. Theory of locking of a van der Pol oscillator by delayed reflection from a resonant load. Radiophysics and Quantum Electronics. 2006. Vol. 49, Issue 6. P. 485–498.
30. Novozhilova Yu.V., Ischenko A.S. Analytical theory of an RF generator phaselocked by the resonant load with delayed reflection. Journal of Infrared, Millimeter and Terahertz Waves. 2011. Vol. 32, Issue 12. P. 1394-1406.
31. Rabinovich M.I., Trubetskov D.I. Oscillations and Waves: In Linear and Nonlinear Systems. Springer Science & Business Media, 2012. 576 p.
32. Landa P.S. Nonlinear Oscillations and Waves in Dynamical Systems. Kluwer Academic Publishers, 1996. 536 p.
33. Novozhilova Yu.V. Parametric instability of autooscillator coupled with remote load. I. Theory. Izvestiya VUZ. Applied Nonlinear Dynamics. 2011. Vol. 19, Issue 2. P. 112–127 (in Russian).
34. Novozhilova Yu.V., Sergeev A.S., Usacheva S.A. Parametric instability of autooscillator coupled with remote load. II. Numerical simulation. Izvestiya VUZ. Applied Nonlinear Dynamics. 2011. Vol. 19, Issue 2. P. 128–140 (in Russian).
35. Kovalev N.F., Novozhilova Yu.V., Petelin M.I. Diffusion coupling between a barrel-shaped resonant cavity and a coaxial waveguide. Radiophysics and Quantum Electronics. 2007. Vol. 50, Issue 10. P. 794–802.
36. Moiseev M.A., Nusinovich G.S. Concerning the theory of multimode oscillation in a gyromonotron. Radiophysics and Quantum Electronics. 1974. Vol. 17, Issue 11. P. 1305–1311.
37. Nusinovich G.S. Mode interaction in gyrotrons. Int. Journal of Electronics. 1981. Vol. 51, Issue 4. P. 457–474.
38. Kacenelenbaum B.Z. Theory of Irregular Waveguides with Slowly Changing Parameters. Springfield - Va. 1979.
39. Vainstein L.A. Electromagnetic Waves. Moscow: Radio and Communication, 1988. 440 p. (in Russian)
40. Nusinovich G., Danly B., Levush B. Gain and bandwidth in stagger-tuned gyroklystrons. Phys. Plasmas. 1997. Vol. 4, Issue 2. P. 469–478.
41. Landa P.S. Auto-Oscillations in the Systems with Finite Number of Freedom Degrees. Moscow: Nauka, 1980, 360 p. (in Russian)
42. Yakunina K.A., Kuznetsov A.P., Ryskin N.M. Injection locking of an electronic maser in the hard excitation mode. Physics of Plasmas. 2015. Vol. 22, Issue 11. P. 113107-1-9. DOI: 10.1063/1.4935847
43. Peregorodova E.N., Usacheva S.A., Ryskin N.M. Nonlinear Dynamics. 2012. Vol. 8, Issue 5. P. 913–929 (in Russian).
44. Polovkov I.P. Stabilization of Microwave Oscillator Frequency by External Cavity. Moscow: Sov. Radio, 1967. 192 p. (in Russian)
45. Kozorezov G.G. Magnetrons with ferrite junction for electron accelerators. Vacuum Microwave Electronics. Collected Reviews. Nizhny Novgorod, 2002. P. 67 (in Russian).
46. Kazakevich G.M., Jeong Y.U. Stabilization of the microtron-injector for a wide-band compact FIR. Nucl. Instrum. Meth. Phys. Res. Sec. A. 2004. Vol. A528, Issue 1/2. P. 115.
47. Li H., Abraham N.B. Analysis of the noise spectra of a laser diode with optical feedback from a high-finesse resonator. IEEE J. Quant. Electron. 1989. Vol. 25, Issue 8. P. 1782–1793.
48. Oraevsky A.N., Yarovitsky A.V., Velichansky V. L. Frequency stabilisation of a diode laser by a whispering-gallery mode. Quantum Electronics. 2001. Vol. 31, Issue 10. P. 897–903.
49. Danilov Y., Denisov G., Khozin M., Panin A., Rodin Yu. Millimeter-wave tunable notch filter based on waveguide extension for plasma diagnostics. IEEE Trans. on Plasma Sci. 2014. Vol. 42, Issue 6. P. 1685–1689.
BibTeX
author = {Yu. V. Novozhilova and G. G. Denisov and M. Yu. Glyavin and N. M. Ryskin and V. L. Bakunin and A. A. Bogdashov and M. M. Melnikova and A. P. Fokin},
title = {GYROTRON FREQUENCY STABILIZATION UNDER THE INFLUENCE OF EXTERNAL MONOCHROMATIC SIGNAL OR WAVE REFLECTED FROM THE LOAD: REVIEW},
year = {2017},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {25},number = {1},
url = {https://old-andjournal.sgu.ru/en/articles/gyrotron-frequency-stabilization-under-the-influence-of-external-monochromatic-signal-or},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2017-25-1-5-34},pages = {4--34},issn = {0869-6632},
keywords = {Gyrotron,frequency stabilization,delayed reflection,frequency locking by monochromatic signal},
abstract = {We study gyrotron frequency locking by the external monochromatic wave and stabilization of gyrotron frequency by the wave reflected from the non-resonant or resonant load. Although in the last decades influence of the external monochromatic signal and the reflected wave at the gyrotron operation was studied in a number of publications, concrete schemes of gyrotron frequency stabilization weren’t discussed. The study of frequency stabilization by the wave coming into the cavity from the external electrodynamic tract, has become particularly actual after the development in Institute of Applied Physics RAS (IAP RAS) the quasi-optical converter, which allows to transform a large part of wave coming from the output tract into the gyrotron operating mode. We use the fixed field longitudinal structure approximation, which is correct at a sufficiently high Q-factor of gyrotron cavity. This approximation permits us to get analytically some results of influence of the reflected wave on gyrotron. In the numerical simulation of multimode gyrotron frequency locking by an external monochromatic signal, this approximation allows us to study several modes competition, including non-equidistant modes, the frequency distance between which can be comparable with the cyclotron absorption linewidth. Numerical simulation of the external signal and the reflected wave influence on gyrotron regime is carried out at the example megawatt gyrotron with an operating frequency 170 GHz. The regions where the operating mode is generated at the frequency of the external signal (lock-in zones), for a multimode gyrotron were founded. It is shown, that in lock-in regime multi-mode gyrotron can achieve higher efficiencies and operation frequency tuning increases by several times compared to free gyrotron. The scenario of electron beam parameters variation was similar with the real one, used to build up the high-efficiency generation in the gyrotron. Under the influence of the reflected wave gyrotron oscillation frequency can be kept within a narrow band, equal for the non-resonant reflector to the distance between modes of long delay line, and for high-resonant reflector – band external cavity. The cavity eigen-frequency of gyrotron can be varied in a much wider range of 5–6 times the range of variation of the frequency of radiation. The results permit us to conclude that the influence of external monochromatic or narrowband reflected wave is an attractive method for frequency stabilization of gyrotron. DOI: 10.18500/0869-6632-2017-25-1-5-34 Paper reference: Novozhilova Yu.V., Denisov G.G., Glyavin M.Yu., Ryskin N.M., Bakunin V.L., Bogdashov A.A., Melnikova M.M., Fokin A.P. Gyrotron frequency stabilization under the influence of external monochromatic signal or wave reflected from the load: Review. Izvestiya VUZ. Applied Nonlinear Dynamics. 2017. Vol. 25, Issue 1. P. 5–34. Download full version }}