Dear Editor,
In ref. 1, we present an efficient full-path optical calcula-tion by using the Bluestein method. A real optical apparatus for laser processing, imaging, or optical tweezing normally involves diverse optical lenses with different physical and numerical apertures (NA). In such applications, the optical path is usually tortuous and long. To assist in the design, evaluation, and alignment of optical instruments, it is advantageous to retrieve the optical field in an arbitrary position along the entire optical path, which is termed the full-path calculation in our paper, with sufficient accuracy and efficiency. In particular, high flexibility is required to accommodate the mismatch between optical apertures of different components in the optical path. We present a full-path optical calculation method by adopting the Bluestein method to address this realistic demand.