Electron optical aberration calculations in a homogeneous magnetic deflection system with curved axis at extra-large defection angles

In the authors' previous paper, variational deflection aberration theory has been developed for nonhomogeneous magnetic deflection systems with curved axes at extra-large deflection angles. Based on the variational deflection aberration theory, a magnetic deflection system consisting of a homogeneous deflection field and a homogeneous sextupole field has been further investigated in the present paper. For such a magnetic deflection system, both the Gaussian trajectory and all second- and third-order aberrations have been calculated analytically and been expressed by algebraic-trigonometric formulae suitable for computer computations. It is to be expected that the present research and computational results may be useful in designing high-performance magnetic deflection systems for high-definition television color picture tubes with self-convergence.