The modeling of the propagation of light through curved smooth surfaces constitutes the backbone of optical system modeling. The Local Plane Interface Approximation (LPIA) has been suggested for this task and shows excellent accuracy and simulation speed. It assumes a local plane wave and a local plane interface and applies the S matrix solution for stratified media locally. As a physical-optics generalization of ray optics the LPIA technique has been formulated in the space domain. We show that it must be applied in the k-domain to genuinely include effects like the Goos Hänchen shift and, more importantly, lateral shifts due to transmission and reflection at smooth surfaces with coatings. Such shifts lead to small aberrations, which must be included in high-accuracy optical system modeling, e.g., in lithography.
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