How Magnetron Work? – Best Engineering Cavity Magnetron
world war two was one of the most traumatic events in the history of the world but on the other hand, it also resulted in several inventions that have completely changed the world one of the key inventions of this era was the cavity magnetron which made radars super-efficient, cavity magnetron czar also used in microwave ovens where they are responsible for producing high-powered microwaves in this post we will explore the physics behind the cavity magnetron.
cavity magnetron work on the principle of LC oscillation occurs when a charged capacitor is placed along with an inductor this simple arrangement creates back-and-forth motion of electrons to find out more about oscillations please click on read more button, when an antenna with an inductor attached to it is placed near to the inductor of an LC circuit the antenna radiates electromagnetic waves this is the theory behind the cavity magnetron obviously the energy oscillation and associated radiation of this theoretical device will die out fast since it loses energy in the form of radiation.

How can this theoretical device be converted into a practical one let’s look at this in the coming sessions, consider this configuration a cathode and a filament the current flow through the filament will heat up the cathode and due to this electrons will be emitted from it this phenomenon is known as thermionic emission interestingly in this case the electrons come back to the cathode if we place an anode with positive potential the emitted electrons accelerate and move towards the anode as the theory of radiation states the charges produce radiation when they accelerate however in this arrangement the electrons radiate inefficiently as they spend very little time in the interaction space in order to increase the time spent by the electrons in this space a permanent magnet is introduced into the structure the magnetic field forces the electrons to take a curved path since the path of the electrons is now curved the time that the electrons spend in the interaction space is increased,the final structure thus formed is known as a Hall magnetron
Hall magnetrons are more efficient than the previously explained technology however its efficiency can be further improved with the help of the LC oscillations which we saw at the beginning of this post.
let’s see how we achieve oscillation in a magnetron to achieve oscillation the anode is designed with cavities these cavities cause huge differences in the physics of magnetrons to understand this let’s consider a simple case.

let’s consider a metal bar with a cavity assume a negative charge is passing near to the metal the negative charge will obviously repel the electrons near to it as shown in this Image similarly when the negative charge passes near to the cavity the electrons around the cavities surface are disturbed you can see that an accumulation of positive and negative charges occurs across the cavity surfaces due to this disturbance, in short, the cavity surfaces acts like capacitor plates if you connect an inductor across the cavity surface the charges will start oscillating this simple physics is the basis of the cavity magnetron

a magnetron has many such cavities many electrons are ejected from the cathode by thermionic emission let’s track the effect of the very first electron ejected into these cavities as explained above this electron will induce positive and negative charges on the cavity surfaces here the cavities are arranged in a circular manner this means the charged cavity surface pair cannot stay in isolation to keep the electric field zero in the metal all the cavity pairs have to be charged with the opposite polarity one interesting thing to note here is that the curved surface of the cavity acts like an inductor this means that the charges accumulated will go for a simultaneous LC oscillation.

with the help of a metal loop and an antenna, this oscillation is extracted and converted into EM waves these oscillations will be sustained in the magnetron since the electrons continually flow from cathode to anode and transfer their energy now let’s see what happens to the remaining electrons in the interaction space.
The very first electron that reached the cavity surface has already created a charged pattern on the cavities this means the remaining electrons will be attracted to the positive charge regions and they will form an interesting spoke wheel pattern like this since the charges on the cavities are oscillating the spoke wheel has to spin as illustrated this phenomenon could be related to the analogy of a donkey a carrot and a stick here no matter how many steps the donkey takes to reach the carrot always remains out of its reach

As you must have noticed the antenna is connected only to a single cavity since the magnetic field lines generated in one cavity also link with the other cavities this phenomenon is called mutual coupling this means the extraction of magnetic energy from one cavity would be the same as the extraction from all of the cavities combined the cavity magnetron was developed in the UK during World War two to enhance radar technology cavity magnetron Tsar able to produce high powered pulses at a shorter wavelength and this led to the detection of smaller objects being possible the compact size of the cavity magnetron made the radar size smaller this UK technology was transferred to the US during World War two and initially the US scientists had a difficult time in understanding the physics behind cavity magnetron this means that the technology you now understand is one of the most complicated engineering technologies.
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