The Z scan experiment has been found to be a useful and simple techniq
ue for the measurement of both the real and imaginary parts of the thi
rd order (and higher orders) of the optical nonlinearity of a wide var
iety of materials. The sensitivity of the technique, typically lambda/
300, may be enhanced by over an order of magnitude in the EZ scan meth
od by the substitution of field stop and collecting lens in place of t
he usual aperture. In this paper such a detection scheme is analysed n
umerically and a compact empirical expression for the nonlinearity in
terms of the stop transmittance and the change in transmittance during
the scan is derived.