The Motz undulator

The electron motion in undulator magnetic fields formed by parallel straight magnets, with alternating polarity, is studied in this work. In a mathematical model the magnets are simulated as dipoles. It is shown that the dipole field is chaotic, with multiple precision, and that it induces a frequent alteration of electron motion direction and also the appearance of braking radiation. The well-known Ginsburg formulas were used (V.L. Ginzburg, Theoretical Physics and Astrophysics, Moscow, Publishing House Nauka, p. 530, 1975).