Figure S8. Optical design and ray diagram of NIR-LFC. NIR-LFC
has been fully packaged by placing an objective lens in a certain
position (BL , image sensor to objective lens
distance) that covers the target object distance from 60 mm to 250 mm.
Since the MLA project the objective lens image in LFC, an image-side
depth-of-field of an objective lens and an object-side DoF of MLA are
matched at position a from the MLA plane. a) The corresponding
image-side depth-of-field range of objective lens are denoted bya + and a - planes (red
dotted lines). Each of a+ anda- are determined by a thin lens equation of
MLA focal length (fMLA ) and image plane distance
(B ), as
\begin{equation}
a^{-}=[\frac{1}{f_{\text{MLA}}}-\frac{1}{B}\left(1-\frac{s_{0}}{D_{\text{MLA}}}\right)]^{-1},\ \ a^{+}=[\frac{1}{f_{\text{MLA}}}-\frac{1}{B}\left(1+\frac{s_{0}}{D_{\text{MLA}}}\right)]^{-1}.\nonumber \\
\end{equation}Note that s0 = min[sλ,p ] is the minimal size of a projected point that can be
resolved with the image sensor. sλ and p denote
the Airy disk and the pixel size, respectively. The optical design of
NIR-LFC adopts a Keplerian imaging scheme, whose the image side DoF is
generated in front of the image plane (IP) as positive signs
(a >0). b) The object-side DoF and its corresponding
DoF range, i.e., the maximum and minimum object position
(AL +, black line andAL -, blue line) can be
calculated using the thin lens equation of the object-side DoF range of
MLA (a + and a -) andfOBJ .
\begin{equation}
A_{L}^{-}=[\frac{1}{f_{\text{OBJ}}}-\frac{1}{\left(B_{L}-{(a}^{-}-B)\right)}]^{-1},A_{L}^{+}=[\frac{1}{f_{\text{OBJ}}}-\frac{1}{\left(B_{L}-{(a}^{+}-B)\right)}]^{-1}\nonumber \\
\end{equation}\begin{equation}
\text{Do}F_{\text{LFC}}=A_{L}^{+}-A_{L}^{-}\nonumber \\
\end{equation}The BL of NIR-LFC is determined to 3.539 mm that
satisfying the target object distance. Note that thefOBJ is 3.04 mm, B is 100 μm, andfMLA and DMLA are 75 μm
and 30 μm, respectively. c) Ray diagram of NIR-LFC at different incident
angles, 0°, 15°, and 30°, from 200 mm target simulated by the
ZEMAX®. The objective lens is located 2.939 mm from
the MLA, which considers MLA thickness of 500 μm and B of 100 μm.