Electron beam

Home> Electron beam
Electron beam parameters for klystrons.

Parameters	Sign	express
beam voltage	V	\( kV\)
beam current	I	\( A\)
beam radius	`r_b`	\( mm\)
cavity radius	`r_c`	\( mm\)
electron velocity \(u_0\)		\(\frac{1}{2}mu_0^2=eV_b\)
electron density \(\rho\)		\(I=\frac{Q}{t}=\frac{\rho\pi b^2l}{\frac{l}{u_0}}\)
current density J		\(J=I/\pi b^2\)
radial electric field Er(b)		\(\oint E_r \cdot ds=-\frac{\rho\pi r^2 l}{\epsilon_0}\)
potential V(b)		\(V(b)-V(a)=\int_a^b dV(r)=-\int_a^b E_r\cdot dr\)
potential V(0)		\(V(0)-V(a)=\int_a^0 dV(r)=-\int_a^0 E_r\cdot dr\)
Magnet field B(b)		\(\oint H \cdot dl=I, B=\mu H\)

Physical constant