Analysis of ABCDlike law for chargedparticle beam transport with transversal divergence

It is shown that the propagation of chargedparticle beam can be made in complete analogy with the transmission of ellipseGaussian light beam in paraxial approximation. Based on this similarity, the ABCDlike law for chargedparticle beam transport with transversal divergence is developed by means of a complex curvature radius of chargedparticle beam in which its real part shows the beam characteristics of convergent and divergent and its imaginary part shows the beam radius. From this, chargedparticle beam as a whole is thought of as a single ellipse Gaussian lightlike beam whose emittance plays the role of wavelength. In particular, this analogy gives an insight that it is hopeful to attain possible coherent chargedparticle beam in favorable accelerator environment.