We present exact analytical expressions for the boundaries of individu
al zones of a zone plate that yields stigmatic imaging between two ext
raaxial conjugate points. Our treatment incorporates imaging at any or
der. It is found that the boundaries of the zones are elliptical and t
hey are not concentric. We introduce dimensionless variables to arrive
at convenient expressions for eccentricity and shift to the centre of
the elliptical zone boundaries. Our approach enables us to obtain sim
ple formulae for the two parameters. Approximations involved in the sa
me are valid for most practical applications.