CollectiveEffects#

Functions

`atbeam()`	generates a particle distribution according to a sigma matrix
`atsigma()`	constructs a beam sigma matrix 2x2 4x4 or 6x6

atbeam(np, sigma)#: generates a particle distribution according to a sigma matrix

particles=atbeam(np,sigma) Generate a particle distribution according to a sigma matrix

particles=atbeam(np,sigma,orbit) adds a center of mass to the distribution%

INPUTS

1. NP number of particles

2. SIGMA beam matrix (2x2, 4x4, 6x6)

3. ORBIT closed orbit

OUPUTS

1. PARTICLES particle distribution

NOTES

1. random generator is randn

See also atsigma()

atsigma(beta, alpha, emit)#: constructs a beam sigma matrix 2x2 4x4 or 6x6

sigma=atsigma(beta,alpha,emit)

builds a 2x2 sigma matrix for a transverse plane

sigma=atsigma(espread,blength)

builds a 2x2 sigma matrix for the longitudinal plane

sigma=atsigma(betax,alphax,emitx,betaz,alphaz,emitz)

builds a 4x4 sigma matrix

sigma=atsigma(betax,alphax,emitx,betaz,alphaz,emitz,espread,blength)

builds a 6x6 sigma matrix

sigma=atsigma(atstruct)

builds a 6x6 sigma matrix

See also atx()