slactrac.PWFA.Match¶

class slactrac.PWFA.Match(plasma, E, emit_n)[source]¶

Given a plasma of type Plasma and a beam of energy E in GeV and normalized emittance emit_n in SI units, calculates match parameters

Attributes

`emit`	Emittance of the beam, $\epsilon = \sqrt{ \langle x^2 \rangle \langle {x'}^2 \rangle - \langle x x' \rangle^2 }$
`emit_n`	Normalized emittance of beam $\epsilon_n = \gamma\epsilon$
`gamma`	Relativistic $\gamma$ of beam
`sigma`	Spot size of matched beam $\left( \frac{2 E \varepsilon_0 }{ n_p e^2 } \right)^{1/4} \sqrt{\epsilon}$
`sigma_prime`	Divergence of matched beam

Methods

beta(E) $\beta$ function of matched beam