so the successive derivatives of Zw for p = 0 have to be determined. This is obtained by successive derivations of the unknowns by respect to p in each equation of set (4.4), writing and solving them for p = 0 at orders n = 0,1,2,... For instance, one of these equations is Zw = -v2 + L2 ù2 — L2 for p = 0. The resulting determinations of L1, L2 optical paths, ù, v angles and An coefficients are listed in Table 4.1 in the form of series expansions (Lemaitre, 1985, unpublished).
Table 4.1 Series expansions in p" of dimensionless optical lengths £1 and £2, angles v—u, v and u, and dimensionless coefficients A„ of the reflected wavefront Zw represented by (4.1) with respect to the magnification M. Issued from point source I. the reflected wavefront is passing by the mirror center of curvature (A0 = 0)
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