Lecture 2: Linear Accelerators Flashcards
When were cathode ray tubes invented?
1857
How were cathode ray tubes invented?
They were developed from Geissler tubes.
What is a cathode ray tube?
A tube of low pressure gas with electrodes at each end. When a voltage is applied to the electrode, electrons and ions generated by direct ionisation diffuse towards the electrodes, ionising more gas atoms and causing a current to flow. When electrons recombine with the ions, photons of light are emitted.
How were Crookes tubes invented?
They were developed from cathode ray tubes.
What are Crookes tubes?
Tubes consisting of a higher voltage cathode and an anode in a lower pressure tube (than the CRT). Ions collide with the cathode, releasing electrons which are accelerated to give a cathode ray. They can ionise the atoms in the glass of the tube which causes it to glow.
When did Wilhelmina Roentgen investigate the cathode ray tube?
1895
What did Wilhelmina Roentgen discover when investigating the cathode ray tube?
That he could use the cathode ray tube to create an x-ray image.
What is the purpose of an electrostatic accelerator?
To generate high voltages to accelerate charged particles.
Give two examples of electrostatic accelerators
- Van de Graaff generator
- Cockcroft-Walton generator
What is the maximum voltage that a Van de Graaff generator is capable of producing?
~ 15 MV
What is the maximum particle energy that a Van de Graaff generator can achieve?
~ 15 MeV
What is the maximum particle energy that a Crockcroft-Walton generator can achieve?
A few MeV
What electrical component is a Van de Graaff generator similar to?
A capacitor
What is the equation for capacitance?
V = voltage
Q = charge
C = capacitance
What is the equation for capacitance when voltage is changing?
V = voltage
t = time
I = current
C = capacitance
Give two problems with the use of high voltages in electrostatic accelerators
- They are dangerous
- They tend to arc to ground
What are the two main types of linear accelerator?
- Standing wave LINAC
- Travelling wave LINAC
Describe how standing wave LINACs work
Particles are accelerated from the negative end of one tube to the positive end of an adjacent tube. This works because the adjacent tubes have out-of-phase voltages and the voltages in each tube are reversed whilst the particles are in the tubes.
Describe how the voltage changes for the tubes in a standing wave LINAC
Adjacent tubes are out of phase with one another.
What are the 7 things that a standing wave LINAC needs to operate?
- A voltage gap to pull the particle through the series of tubes
- Tubes connected to an RF voltage ~ 200 MHz
- Tubes that act as Faraday cages (constant velocity inside the tube)
- Synchronised voltage sources for all tubes
- Potentials that reverse whilst the particle is inside the tube.
- A positive voltage in the tube that the particle is accelerating towards.
- Increasing tube length of successive tubes.
What is the equation for the time in a single tube for a standing wave LINAC?
t = time in a single tube
f = frequency
l_i = length of tube
v_i = velocity of particle in the tube
Describe how travelling wave LINACs work
Electrons are accelerated towards a positive E-field (standing waves in cylindrical wave guides) and ‘ride’ the wave close to the speed of light.
Why can’t electromagnetic waves in free space be used in a travelling wave LINAC?
They are transverse so don’t propagate in the correct direction and they travel at the speed of light so the electrons cannot keep up with the wave.
What energy are particles injected into a standing wave LINAC at?
~ 1 MeV
