We suggest an approach for numerically studying the performance of cylindri
cal microlenses without a beam-shaping aperture based on the boundary-eleme
nt method (BEM). We divide the infinite microlens boundary into two compone
nts: The first part is an infinite expanded flat interface excluding the cu
rved interface, and the second part is only the originally curved microlens
interface. The resulting transmitted field can be regarded as the composit
ion of two fields: One is generated by the first boundary, and the other is
contributed from the second boundary. We carry out numerical simulations f
or two microlens systems, with or without aperture. We find that, for the n
onapertured system, an ideal focusing feature is still observed; however, t
he axial distribution of the transmitted field exhibits an oscillation, dif
ferent from the apertured system. It is expected that the current approach
may provide a useful technique for the analysis of micro-optical elements.
(C) 2001 Optical Society of America.