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Figure 1: Symbol of a magnetron in electrical circuits

Figure 1: Symbol of a magnetron in electrical circuits

Magnetron

Table of Content « Magnetron »
  1. Physical construction of a magnetron
  2. Magnetron Basic Operation
  3. Transient oscillation
  4. Modes of Oscillation
  5. Magnetron coupling methods
  6. Magnetron frequency tuning
  7. Upper Frequency Limit
  8. History of the invention of the magnetron
  9.  Video about this page
  10. (Printable version of this page)

What is a magnetron?

Magnetron

Figure 2: Magnetron MI 29G (МИ 29Г) of the old Russian Radar “Bar Lock”

Figure 2: Magnetron MI 29G (МИ 29Г) of the old Russian Radar “Bar Lock”

The magnetron is a high-powered vacuum tube that works as a self-excited microwave oscillator. Crossed electron and magnetic fields are used in the magnetron to produce the high-power output required in radar equipment. These multi-cavity devices may be used in radar transmitters as either pulsed or CW oscillators at frequencies ranging from approximately 600 to 95,000 megahertz.[1] The relatively simple construction has the disadvantage that the Magnetron usually can work only on a constructively fixed frequency.

Physical construction of a magnetron
Cutaway view of a magnetron
filament leads
resonant cavity
cathode
interaction space
resonant cavity
anode block
probe
coaxial coupling

Figure 3: Cutaway view of a magnetron

filament leads
resonant cavity
cathode
interaction space
resonant cavity
anode block
probe
coaxial coupling

Figure 3: Cutaway view of a magnetron

The magnetron is classed as a diode because it has no grid. The anode of a magnetron is fabricated into a cylindrical solid copper block. The cathode and filament are at the center of the tube and are supported by the filament leads. The filament leads are large and rigid enough to keep the cathode and filament structure fixed in position. The cathode is directly heated and is constructed of a high-emission material. The 8 up to 20 cylindrical holes around its circumference are resonant cavities. A narrow slot runs from each cavity into the central portion of the tube dividing the inner structure into as many segments as there are cavities. Each cavity works as a parallel resonant circuit. As depicted in Figure 3 by the low-frequency analog, the rear wall of the structure of the anode block may be considered to as the inductive portion (a coil with a single turn). The vane tip region may be considered as the capacitor portion of the equivalent parallel resonant circuit. The resonant frequency of a microwave cavity is thereby determined by the physical dimension of the resonator. If a single resonant cavity oscillates, then it excites the next one to oscillate too. This one oscillates at a phase delay of 180 degrees and excites the next resonant cavity, and so on. From a resonant cavity to the next always occurs this delay of 180 degrees. The chain of resonators thus forms a slow-wave structure that is self-contained. Because of this slow-wave structure, this design is also-called “Multicavity Traveling Wave Magnetron” in some publications.

Cutaway view of a magnetron
filament leads
resonant cavity
cathode
interaction space
resonant cavity
anode block
probe
coaxial coupling

Figure 3: Cutaway view of a magnetron

Figure 4: A resonant cavity in the anode block has the function of a parallel resonant circuit: The opposite anode walls of a slot are the capacitor, the detour around the hole is the inductance (with only one turn).

Figure 4: A resonant cavity in the anode block has the function of a parallel resonant circuit: The opposite anode walls of a slot are the capacitor, the detour around the hole is the inductance (with only one turn).

Figure 4: A resonant cavity in the anode block has the function of a parallel resonant circuit: The opposite anode walls of a slot are the capacitor, the detour around the hole is the inductance (with only one turn).

The cathode of a magnetron provides the electrons through which the mechanism of energy transfer is accomplished. The cathode is located in the center of the anode and is made up of a hollow cylinder of emissive material (mostly Barium Oxide) surrounding a heater. The feeding wires of the filament must center the whole cathode. Any eccentricity between anode and cathode can cause serious internal arcing or malfunction.

The open space between the anode block and the cathode is called the interaction space. In this space, the electric and magnetic fields interact to exert force upon the electrons. The magnetic field is usually provided by a strong, permanent magnet mounted around the magnetron so that the magnetic field is parallel with the axis of the cathode.

Figure 5: Different forms of the anode block in a magnetron

Figure 5: Different forms of the anode block in a magnetron

Figure 5: Different forms of the anode block in a magnetron

It generally consists of an even number of microwave cavities arranged in a radial fashion. The form of the cavities varies, shown in Figure 4.

  1. slot- type
  2. vane- type
  3. rising sun- type
  4. hole-and-slot- type

The slot type, hole-and slot type, and the rising sun type are usually machined by hobbing methods out of solid copper stock. But it can be difficult to cut soft metal (such as copper) in a lathe. The vane type is generally made up of individual vanes assembled and brazed into a support ring, therefore. The resonance behavior can be already tested and calibrated in the laboratory before the anode block is installed in the vacuum tube. The output lead is usually a probe or a loop extending into one of the resonant cavities and coupled into a waveguide or coaxial line.

How do magnetrons work?

Magnetron Basic Operation

As with all velocity-modulated tubes, the generation of microwave frequencies at a magnetron can be subdivided into four phases:

  1. Phase: Generation and acceleration of an electron beam in a dc field
  2. Phase: Velocity-modulation of the electron beam in an ac field
  3. Phase: Formation of electron bunches by velocity modulation (here in form of a “Space-Charge Wheel”)
  4. Phase: Dispensing of energy to the ac field
1. Phase: Generation and acceleration of an electron beam in a dc field

Figure 6: Trajectory of an electron under the influence of the electrostatic and the magnetic field for different magnetic flux densities.

Figure 6: Trajectory of an electron under the influence of the electrostatic and the magnetic field for different magnetic flux densities.

Figure 6: Trajectory of an electron under the influence of the electrostatic and the magnetic field for different magnetic flux densities.

Since the cathode is kept at a negative voltage, the static electric field is in a radial direction from (grounded) anode block to the cathode. When no magnetic field exists, heating the cathode results in a uniform and direct movement of the electron from the cathode to the anode block (the blue path in Figure 5). A weak permanent magnetic field B perpendicular to the electric field bends the electron path as shown with the green path in Figure 5. If the electron flow reaches the anode, so a large amount of plate current is flowing. If the strength of the magnetic field is increased, the path of the electron will have a sharper bend. Likewise, if the velocity of the electron increases, the field around it increases and the path will bend more sharply. However, when the critical field value is reached, as shown in Figure 5 as a red path, the electrons are deflected away from the plate and the plate current then drops quickly to a very small value. When the field strength is made still greater, the plate current drops to zero.

These values of the anode voltage and magnetic field strength that prevent an anode current are called Hull cut-off magnetic field and cut-off voltage. When the magnetron is adjusted to the cut-off or critical value of the plate current and the electrons just fail to reach the plate in their circular motion, it can produce oscillations at microwave frequencies.

2. Phase: Velocity-modulation of the electron beam

Figure 7: The influence of the high-frequency electrical field of the trajectory of an electron

Figure 7: The influence of the high-frequency electrical field of the trajectory of an electron

Figure 7: The influence of the high-frequency electrical field of the trajectory of an electron

The electric field in the magnetron oscillator is a summary of AC and DC fields. The DC field extends radially from adjacent anode segments to the cathode. The AC fields, extending between adjacent segments, are shown at an instant of the maximum magnitude of one alternation of the RF oscillations occurring in the cavities.

In Figure 7 is shown only the assumed high-frequency electrical AC field. This AC field work in addition to the permanently available DC field. The AC field of each individual cavity increases or decreases the DC field like shown in Figure 7.

Well, the electrons which fly toward the anode segments loaded at the moment more positively are accelerated in addition. These get a higher tangential speed. On the other hand, the electrons which fly toward the segments loaded at the moment more negatively are slow down. These get consequently a smaller tangential speed.

3. Phase: Forming of a “Space-Charge Wheel”

Figure 8: Rotating space-charge wheel in a twelve-cavity magnetron

Figure 8: Rotating space-charge wheel in a twelve-cavity magnetron

Figure 8: Rotating space-charge wheel in a twelve-cavity magnetron

On reason of the different speeds of the electron groups, the velocity modulation leads to a density modulation.

The cumulative action of many electrons returning to the cathode while others are moving toward the anode forms a pattern resembling the moving spokes of a wheel known as a “Space-Charge Wheel”, as indicated in Figure 7. The space-charge wheel rotates about the cathode at an angular velocity of 2 poles (anode segments) per cycle of the AC field. This phase relationship enables the concentration of electrons to continuously deliver energy to sustain the RF oscillations.

One of the spokes just is near an anode segment which is loaded a little more negatively. The electrons are slowed down and pass her energy on to the AC field. This state isn't static, because both the AC- field and the wire wheel permanently circulate. The tangential speed of the electron spokes and the cycle speed of the wave must be brought in agreement so.

4. Phase: Dispensing of energy to the ac field

Recall that an electron moving in an E field is accelerated by the field and takes energy from the field. Also, an electron dispenses energy to a field and slows down if it is moving in the same direction as the field (positive to negative). The electron spends energy to each cavity as it passes and eventually reaches the anode when its energy is expended. Thus, the electron has helped sustain oscillations because it has taken energy from the DC field and given it to the ac field. This electron describes the path shown in Figure 5 over a longer time period looked. Due to the multiple decelerations of the electron, its energy is optimally utilized and efficiencies of up to 80 percent are achieved.

Transient oscillation

After switching the anode voltage, there is still no RF field. The single electron moves under the influence of the static electric field of the anode voltage and the effect of the magnetic field as shown in Figure 5 by the red electron path. Electrons are charge carriers: during the flyby at a gap, they give off a small part of the energy to the cavities. (Similar to a flute: A flute produces sound when a stream of air is flowing past an edge of a hole.) The cavity resonator begins to oscillate at its natural resonant frequency. Immediately begins the interaction between this RF field (with an initial low power) and the electron beam. The electrons are additionally influenced by the alternating field. It begins the process described in the sequence of phase 1 to 4 of the interaction between the RF field and the now velocity-modulated electrons.

Unfortunately, the transient oscillation doesn't begin with a predictable phase. Each transient oscillation occurs with a random phase. The transmitting pulses that are generated by a magnetron are therefore not coherent.

However, it is possible to get phase coherence, if the magnetron is fed with a continuous priming signal from a coherent oscillator.[2]

Modes of Oscillation
π-Mode
½π-Mode
¾π-Mode

Figure 9: Modes of the magnetron
(Anode segments are represented “unwound”)

π-Mode
½π-Mode
¾π-Mode

Figure 9: Modes of the magnetron
(Anode segments are represented “unwound”)

Figure 10: cutaway view of a magnetron (vane-type) showing the strapping rings and the slots.

Strapping

Figure 10: cutaway view of a magnetron (vane-type) showing the strapping rings and the slots.

The operation frequency depends on the sizes of the cavities and the interaction space between anode and cathode. But the single cavities are coupled over the interaction space with each other. Therefore several resonant frequencies exist for the complete system. Two of the four possible waveforms of a magnetron with 12 cavities are in Figure 9 represented. Several other modes of oscillation are possible (¾π mode, ½π mode, ¼π mode) but a magnetron operating in the π mode has a higher output power and is most commonly used.

Figure 9 shows three of the four possible oscillation modes of a 12-resonator magnetron. When operating the magnetron in one of the other modes (¾π, ½π, ¼π) the power or the efficiency and the oscillation frequency decrease.

To ensure that a stable operational condition can be set in the optimal π mode, two constructive measures are possible:

Magnetron coupling methods

Energy (rf) can be removed from a magnetron by means of a coupling loop as shown in Figure 9 into the bottom one resonator. At frequencies lower than 10,000 megahertz, the coupling loop is made by bending the inner conductor of a coaxial line into a loop. The loop is then soldered to the end of the outer conductor so that it projects into the cavity, as shown in Figure 10 also. Locating the loop at the end of the cavity, as shown in Figure 11, causes the magnetron to obtain sufficient pickup at higher frequencies.

The segment-fed loop method is shown in Figure 12. The loop intercepts the magnetic lines passing between cavities. The strap-fed loop method Figure 13, intercepts the energy between the strap and the segment. On the output side, the coaxial line feeds another coaxial line directly or feeds a waveguide through a choke joint. The vacuum seal at the inner conductor helps to support the line. Aperture or slot coupling is illustrated in Figure 14. Energy is coupled directly to a waveguide through an iris (made from either glass or ceramic).

different methods of magnetron coupling

Figure 11: coupling loop into a resonator

Figure 12: coupling loop at the end of the resonator

Figure 13: segment-fed loop

Figure 14: strap-fed loop

Figure 15: Aperture coupling (or slot coupling)

Magnetron tuning

A tunable magnetron permits the system to be operated at a precise frequency anywhere within a band of frequencies, as determined by magnetron characteristics. The resonant frequency of a magnetron may be changed by varying the inductance or capacitance of the resonant cavities.

anode
tuner frame
additional
inductive
tuning
elements

Figure 16: Inductive magnetron tuning


 
anode
tuner frame
additional
inductive
tuning
elements

Figure 16: Inductive magnetron tuning

Figure 17: resonant cavities of a hole-and-slot- type magnetron with inductive tuning elements

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coupling
loop
filament supply lines

Figure 17: resonant cavities of a hole-and-slot- type magnetron with inductive tuning elements

An example of a tunable magnetron is the M5114B used by the ATC- Radar ASR-910. To reduce mutual interferences, the ASR-910 can work on different assigned frequencies. The frequency of the transmitter must be tunable, therefore. This magnetron is provided with a mechanism to adjust the Tx- frequency of the ASR-910 exactly.

Figure 17 shows the inductive tuning elements of the TH3123 Magnetron used in ATC-radar Thomson ER713S. Note that the adjacent the filament supply lines resonant cavity and the coupling loop cavity are not tunable!

M5114B

Figure 18: Magnetron M5114B of the ATC-radar ASR-910

VMX1090

Figure 19: Magnetron VMX1090 of the ATC-radar PAR-80 This magnetron is even equipped with the permanent magnets necessary for the work.

Upper Frequency Limit

Serious sources state that the upper-frequency limit for the use of magnetrons to generate power is about 95 GHz.[1] Other sources name much higher frequencies, but unfortunately without the information where they get such numbers from.

A cavity resonator in a magnetron should have the dimensions of about half the wavelength of the oscillation to be generated. At 96 GHz, the wavelength is in the range of 3.125 mm. The hole should, therefore, have a diameter of about 1.5 mm. However, the accuracy should be far below 5 percent because all cavity resonators should have the same resonant frequency so that oscillation is amplified. So we already have a required mechanical accuracy of a few hundredths of a millimeter. Perhaps feasible so far.

But if a resonant frequency of 300 or even 400 GHz is claimed, then the required dimensions of the cavity resonators are in the range of tenths of a millimeter for a resonance. The required accuracy would then have to be in the range of a few thousandths of a millimeter. Even if one could imagine these mechanical challenges for a laboratory instrument, it fails because these small distances of tenths of a millimeter no longer permit a high anode voltage. Instead of a high-frequency oscillation, there is then a spark gap like with a spark plug. These considerations make such data rather unlikely for such high frequencies.

Footnotes:

  1. Richard C. Dorf: “The Electrical Engineering Handbook”,Second Edition, page 1046 (Google preview)
  2. David J. Greenslade: “The Advantages of a Magnetron Source for Electron Spin Echo Detection”, University of Essex, (online)
  3. More pictures of magnetrons and various cut models of magnetrons are available at www.ostron.de.