c1.gif (954 bytes) "JOURNAL OF RADIOELECTRONICS" N 3, 2002



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Microwave Electronics Based on Electron Beam Transverse Waves Using
(State-of-the-Art and Perspective. Russian Experience)


Vladimir A. Vanke, e-mail: vanke@mesps.phys.msu.su


Moscow State University



Received on March 2, 2002.



        Russian experience in the field of non-traditional microwave electronics based on electron beam transverse waves using is discussed  in a form of short review


  1. Introduction

  2. Cyclotron Wave Protector and Parametric Amplifier

  3. Cyclotron Wave Electrostatic Amplifier

  4. Circularly Polarized TWT

  5. Cyclotron Wave Converter of Microwaves in DC

  6. Klystron with Combined Interaction

  7. Conclusion

  8. Perspectives

  9. References



I. Introduction


In modern microwave systems of radar, navigation and communication the strictest requirements are placed on a powerful output amplifier and a low-noise input device (Fig.1). Each of them should satisfy a complex of demands, which, unfortunately, are hardly compatible. It should be emphasized that linearity of the main characteristics of these devices must be realized today to be a decisive parameter.

Fig. 1  A typical scheme of radar, communication and navigation

systems for ground and space ap-plications

(Pr -protector against microwave overloads)


For the output amplifier the linearity must be combined with a high level of power, a broad range of operational frequencies, a high values of the gain and high efficiency.

For the input receiver cascade it is important that the linearity should be combined with protection of subsequent cascades against microwave overloads, full absence of a leakage power peak and rapid recovery after these overloads.  At the same time, a low noise figure should be provided in combination with a wide dynamic range and high values of the gain.

Besides, in connection with successful developing ideas of Wireless Power Transportation (WPT) there appeared a new problem, namely, the problem of back conversion of high-power microwave energy in the energy of direct current. It is not impossible that in future microwave technology would find its wide-scale application in the field of ground-based and space-based WPT.

When applying the conventional longitudinal grouping of electrons in bunches in vacuum microwave electronics (TWTs, Klystrons, etc.) there appears some principle problems connected with the non-linear character of Coulomb forces which usually play a decisive role in forming dense electron bunches

To a considerable extent, these problems can be bypassed (eliminated), if we apply a transverse grouping of the electron beam drifting in a longitudinal magnetic field.

In contrast to conventional longitudinal grouping of electrons into dense bunches, this principle employs the Lorenz force as an elastic force and leads to spatial distortion of the electric beam without electron bunches being formed (Fig. 2).


Fig.2  Longitudinal and transverse groupings of the electron beam.

 E (t) - time-variable electric field,  Bo - con-stant magnetic field 


In this way it is possible to considerably overcome the fundamental restrictions, which are characteristic of longitudinal grouping devices (both vacuum and solid-state ones) and are associated with nonlinear influence of the space charge fields upon the process of the microwave signal amplification, thereby laying the basis for developing new amplifiers, generators and converters with improved characteristics.

It was mainly in Russia that this advantageous type of interaction was consistently studied and applied during several last decades.

Now, a few words about the history of the appearance and development of the concept of the transverse grouping in electron beams. One of the first fundamental works was published in 1949 by C.L.Cuccia [1] in the USA.  His research was devoted to interaction of the electron beam with the resonator transverse field.



Fig. 3  One of the first versions of the Cyclotron Wave Parametric Amplifier

 developed several decades ago by S.P.Kantyuk (Istok Corp.)


Only ten years later, nearly simultaneously in the USA and Russia there appeared publications on parametric (Fig. 3) and, later, electrostatic amplifiers using a fast cyclotron wave of the electron beam. Record values of the amplifier noise temperature, those of the order of 60-200 K, were achieved quite soon [2-4]. In Russia the research in this field was successfully carried on mainly in Moscow State Univ., Istok Corp. and Tory Corp. [3-12].


Today, the existing three-dimensional models of the electron beam and accumulated experimental experience give us confidence as to possibilities of designing a new class of microwave devices with unique sets of parameters. It is such information that is the main aim of this report.

In the case of transverse modulation of the electron beam drifting in the longitudinal constant magnetic field, four kinds of waves can be excited: two cyclotron waves and two synchronous waves [8]. In each case the beam assumes the shape of a uniformly charged spatial helix having no space charge bunches. It should again be pointed out that it is this circumstance that insures the linearity of the process of energy exchange with external fields. In contrast to space charge waves, phase velocities of cyclotron waves are dependent on the cyclotron frequency that is on the value of the constant magnetic field, whose distribution along the interaction region is fixed and determined by the external magnetic system only. Phase velocities of synchronous waves are equal to the longitudinal velocity of the electron beam. All the four transverse waves are circularly polarized.

Stability of phase velocities of transverse waves and their circular polarization provide a high level of selectivity in interaction with circularly polarized fields of electrodynamics structures, which ultimately makes it possible to achieve unique values of parameters in devices based on interaction with transverse waves of the electron beam.





II. Cyclotron Wave Protector and Parametric Amplifier   


The simplest device, which interacts selectively with a fast cyclotron wave of the electron beam, is a resonator with a transverse electric field. At the cyclotron resonance such a

resonator is capable of transmitting practically all microwave power from the external circuit into the fast cyclotron wave of the electron beam and/or extract the power of this wave back into the external circuit. Two resonators connected in series interact with the electron beam quite efficiently and signal attenuation in such a system can be very low (of the order of 0.5 dB and less).



Fig.4  Cyclotron Wave Protectors

 at 9 and 35 GHz  developed by Istok Corp.



At high levels of the input signal the electron beam is trapped by the input resonator bars and the resonators turn out to be disconnected. Thus, there appears a possibility to design a good protective device, which could be placed between the antenna and the input amplifier of the receiver (for example, in radar). In the case of the beam trapping in the input resonator the conditions for matching the conductivities of the electron beam and the external circuit are sharply violated. The VSWR is increased up to a few tens of units and the main part of power is reflected from the input of such a device [7]. Thus, high acceptable levels of input power, deep protection, short recovery time and absence of leakage power peak are typical of such devices (Fig. 4).

If an additional microwave pump resonator with a quadrupole electric field is placed between the input and output resonators and fed from the external generator with a frequency about the double cyclotron frequency, we shall have a parametric amplifier of the degenerate type which retains all the protective functions of the previous device. Besides, here the input resonator efficiently removes noises of the fast cyclotron wave of the electron beam. At the late 50-s - early 60-s such amplifiers were designed and constructed both in the USA and in Russia.

The idler channel can easily be eliminated by introducing an additional (compensating) electron beam. To amplify cyclotron waves in these beams, quadrupole fields of equal intensity but opposite phases are used (Fig. 5).


Fig. 5   A version of Two-Beam Cyclotron Wave Parametric

Amplifier with suppressed idler channel





III. Cyclotron Wave Electrostatic Amplifier


Instead of a microwave pump resonator, it is possible to use an electrostatic quadruple helix forming a spatially twisted electrostatic quadrupole field [7]. The electrons moving along such a system 'feel' the time-variable electric field, and the amplitudes of the electron beam cyclotron waves will be increased if the resonance condition at the double cyclotron frequency is fulfilled. Amplification of a fast cyclotron wave in such a system is achieved due to active coupling with a slow cyclotron wave that does not interact with the input resonator field. A high value of the magnetic field at the cathode surface and subsequent reduction of this value provide a low noise level of cyclotron waves in the electron beam at the entrance into the interaction region.

In Fig. 6 one can see a general view of a version of the electrostatic amplifier, which is manufactured today by Russian industry only (in total about 10,000 cyclotron wave devices have been sold by Istok Corp.) [5,9,11].



Fig. 6  A Version of Cyclotron Wave Electrostatic

Amplifier at 4 GHz (Istok Corp.)


The input amplifier of this type is unique, it provides a low level of intrinsic noises, wide dynamic range, stability to overloads, protection of subsequent receiver cascades, short recovery time after overloads and absence of leakage power peak.

A tunable CWESA can be designed if a system with a traveling wave, for example, usual combs are used as couplers. In this case for electron beam potential typical of CWESA, a high degree of selectivity in energy exchange with a fast cyclotron wave of the electron beam is preserved. Operational band of such couplers is narrow (of the order of 1 percent or smaller), however, it can be tuned within a wide range by changing the magnetic field strength and the beam potential.



IV. Circularly Polarized TWT


Now, one should dwell on another interesting possibility of designing Circularly Polarized TWT.


Fig. 7  A scheme of the interaction of a circularly polarized traveling wave and

the electron beam drifting in the longitudinal static magnetic field B0



Each electron injected along the axis of a circularly polarized slow wave (Fig. 7) at the velocity equal to the phase velocity of this wave will be equally and monotonously decelerated by the longitudinal electric field of this wave. The transverse electric field of the wave combined with the longitudinal static magnetic field (the Lorenz force) will move the electron to the region of the decelerating electric field of the circularly polarized wave. 

It should be pointed out that this is the case for each electron regardless of the time of its inlet into the wave field. Thus, a filamentary electron beam remains mono-energetic after such an interaction and can be recuperated efficiently.

Fig. 8 shows the results of computer simulation and optimization of such CP TWT with electron beam of a finite cross-section: the electron efficiency is about 40%, the efficiency with recuperation by a single-stage collector is up to 80% in the frequency band of the order of 30% and more. It is very important that the non-linearity of the phase-frequency characteristics in non-linear regimes turns out here to be several orders smaller than in ordinary TWT. This is a direct consequence of a new type of spatial grouping of the electron beam, which is not accompanied by formation of electron bunches.



Fig. 8  CP TWT characteristics

G-gain,   h - efficiency with recuperation by a single-stage collector,  

he  - electron efficiency,  n1 - wave slowing factor, 

R^ - coupling impedance, l   - operational wave length..


A slow-wave system in the shape of a spatially twisted well-known two-row comb may be used to create different phase velocities of circularly polarized waves with the right and left polarizations.

Double-cascade CP TWT with good values of the parameters is also feasible.

The basic experiment was performed in Russia at the time when no adequate theory

was available to describe the electron beam of a finite cross-section and there were no pos-


Fig. 9  A scheme of experimental CP TWT

tested by Tory Corp.


sibilities for effective optimization of the device. Nevertheless, serviceability of such CP TWT was demonstrated at the CW output power of about 2 kW (Fig. 9).

The experimental results obtained at that time were used later to verify the constructed three-dimensional theory and they were found to be in a good agreement. The second optimized experiment was designed but its technological realization had to be suspended because of general financial problems.

In our opinion, it is powerful versions of CP TWT that can possess unique parameters and are advantageous for many technological applications.

V. Cyclotron Wave Converter of Microwaves in DC


There appear new tasks in connection with promising tendencies and successful experiments with systems for energy transportation by microwave beams. Therefore it is necessary to design a simple, reliable and powerful device for back conversion of microwave energy in the energy of direct current (DC). Cyclotron Wave Converter (CWC) has



Fig. 10  A scheme of Cyclotron Wave Converter


been studied in Russia both theoretically and by experiment [6]. In CWC the microwave energy is introduced into a fast cyclotron wave of the electron beam, converted into the energy of longitudinal motion in the region of the reverse magnetic field and then during recuperation in the collector decelerating field it is released at the outside load of the collector (Fig.10).


Fig. 11.  A version of CWC

( 10 kW;  2.45 GHz )

developed by Toriy Corp.


Such device is advantageous because it can have a high efficiency at a high power level, stability to overloads in high frequency and low-frequency circuits, and a high output direct voltage [6,9].

A good experimental device was developed jointly by MSU and Tory Corp (Fig.11). At continuous input power of 10 kW the efficiency was up to 83%. 

At Moscow University the CWC was tested for the power level of 30-40 Watt at the efficiency of around 70-74%.

The Istok Corp. also tested several versions of CWC of power level up to 1 kW [9].




VI. Klystron with Combined Interaction


One more promising idea should be outlined. It involves combined (longitudinal-transverse) interaction to broaden the operating band of powerful klystrons.

At the first stage an ordinary klystron grouper forms electron bunches. Then they are injected into the region of reversed magnetic field biased with respect to its axis (Fig. 12).


Fig. 12  A scheme of  klystron (not in scale)

with combine (longitudinal/transverse) interaction


At the region output a large part of the longitudinal energy of the electron beam can be converted in the energy of its rotation around the z-axes. Besides, if the cyclotron resonance condition is fulfilled, all the bunches would happen to be on one straight line rotating as a whole around the z-axis. In the resonator with the transverse electric field this energy can be almost completely extracted from the electron beam.    

The transverse electric field of the resonator gap is uniform and the spreading of bunches in the longitudinal direction is not important, while continuous interaction provides 10-15 times more efficient load of the resonator by the electron beam. Thus, at high efficiency (>75-80%) the interaction band of the order of 8-10% and even more can be provided.




VII. Conclusion


In conclusion we should again point out the principal advantages of devices based on interaction with cyclotron and synchronous waves of the electron beam: (1) The absence of non-linearity connected with formation of space charged bunches. Relativistic (non-linear) dependence of the electron mass on the electron energy is not used here. (2) Stability of phase velocities and circular polarization of transverse waves make it possible to provide a high level of selectivity in energy exchange with external electromagnetic fields. (3) Levels of microwave power in the electron beam can significantly exceed the initial energy of the injected electron beam. These factors, which seem to be quite simple, allow us to overcome a number of limitations, which restrict today the development of microwave vacuum electronics.




VIII. Perspectives


        As a result of application of these new principles of electron beam grouping, various devices with attractive parameters for different purposes can be created:








        Such devices have potential for use in a wide variety of applications including super high quality military and civil radar, navigation and communication systems as well as the future Space Solar Powers for energy supply from Space to the Earth.

        An international cooperation could be perspective in this field of vacuum microwave electronics.

        It is very likely that there is an opportunity to create some new and improved devices, which are making possible systems having capabilities well beyond any fielded today.




IX. References


[1]  C.L.Cuccia, “The Electron Coupler - a Developmental Tube for Amplitude Modulation and Power Control at UHF”, RCA Rev., 1949, vol. 10, p. 270.


[2]  W.H.Louisell, “Coupled Mode and Parametric Electronics”, John Wiley & Sons, Inc., New York, London, 1960.


[3]  V.M.Lopukhin et al, “Noises and Parametric Phenomena in Electron Beams”, Nauka, Moscow, 1966. (In Russian).


[4]  V.A.Vanke et al, “Super Noiseless Cyclotron-Wave Amplifiers”, Soviet Physics Uspekhi, May-June 1970, vol. 12, No. 6, p. 743.


[5]   Yu.A.Budzinsky, S.P.Kantyuk, “A New Class of Self-Protec­ting Low-Noise Microwave Amplifiers”, Proc. IEEE MTT-S Microwave Symposium, Atlanta, USA, June 1993, Digest,  vol. 2, p. 1123.


[6]  Vanke V.A. et al,  “High Power Converter of Microwaves into DC”,  Journal of  Radioelectronics, 1999, No. 9,  Web Site:  http://jre.cplire.ru/jre/sep99/1/text.html


[7]  Vanke V.A. et al,  “Cyclotron Wave Electrostatic Amplifier”,  Journal of Radioelectronics, 1999, No. 10, Web Site:  http://jre.cplire.ru/jre/oct99/1/text.html


[8]  Vanke V.A., “Cyclotron and Synchronous Oscillations and Waves of the Electron Beam. General Relations”, Journal of Radioelectronics, 2002, No. 1,

Web Site:  http://jre.cplire.ru/jre/jan02/2/text_e.html


[9]  Yu.A.Budzinsky et al, “Microwave Devices Using Fast Cyclotron Wave”, Radiotech-nique, 1999, No. 4, p. 32. (In Russian).


[10] V.A.Vanke, “Microwave Electronics Based on Electron Beam Transverse Waves Using” (Invited), Technical Report of the Institute of Electronics, Information and Communi-cation Engineers (Japan), ED99-247, 1999, p. 1.


[11] I.A.Boudzinski, S.V.Bykovski, “Amplifying and Protective Devices Based on Electron Bea Fast Cyclotron Wave”, Proc of the 2nd International Vacuum Electronics Conference, April 2-4, 2001, Noordwijk, The Netherlands, p. 153.


[12] V.A.Vanke, “Non-Traditional Microwave Electronics Based on Electron Beam Transverse Grouping“, Proc. of the 23rd International Conference on Microelectronics, May 12-15, 2002, Nis, Yugoslavia (to be published).


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