Variational aberration theory for magnetic deflection systems with curved axes at extra-large angles

Variational deflection aberration theory has been further developed for deflection systems with curved axes at extra-large deflection angles (up to 120°). The variational method allows us to calculate second- and third-order deflection aberrations with respect to a curved axis by means of gradient operations on eikonal (the function of optical length). All second- and third-order deflection aberrations have been explicitly expressed in compact and appropriate formulae suitable for computer computations. It is to be expected that the variational deflection aberration theory may be useful in designing high-quality magnetic deflection systems for high-deflection television color picture tubes.