The role of perimeter measurements in phase retrieval methods based on the
transport of intensity equation will be analysed in the context of modal es
timation (for non-uniform intensity distributions). The modal coefficients
are evaluated as weighted integrals of both the intensity derivative inside
the pupil domain and the boundary slopes of the wave front. Without loss o
f generality in the qualitative results, the behaviour of the domain integr
al will be studied for two particular non-uniform irradiance distributions:
gaussian and parabolic profiles. (C) 2000 Elsevier Science B.V. All rights
reserved.