The design of kinoform fan-out elements with high efficiency and reduc
ed sensitivity to vertical profile scaling errors is presented, We sta
rt from a high-efficiency continuous-phase fan-out solution and optimi
ze the position of the 0-2 pi transitions in the phase function, in or
der to achieve a high fabrication-error tolerance. The sensitivity of
Fourier-transform and focusing fan-out elements to vertical etch-depth
errors is analyzed. The limitations for the fabrication of such struc
tures by laser-beam writing are discussed, In particular, the influenc
e of the finite writing-spot diameter on the fan-out performance is in
vestigated. Design rules for fan-out elements, which consider fabricat
ion constraints, are derived, Experimental results are presented for c
ylindrical focusing fanout elements With Small uniformity error (2%) a
nd weak profile scaling dependence.