11,516 research outputs found
Real and Image Fields of a Relativistic Bunch
We derive analytical expressions for external fields of a charged
relativistic bunch with a circular cross section. At distances far from the
bunch, the field reduces to the relativistic modified Coulomb form and in the
near region, reproduce the external fields of a continuous beam. If the bunch
is surrounded by conducting surfaces, the bunch self-fields are modified. Image
fields generated by a bunch between two parallel conducting planes are studied
in detail. Exact summation of image fields by the direct method invented by
Laslett allows the infinite series to be represented in terms of elementary
trigonometric functions.Comment: 10 page
- …