  TRopIcal DEep-sea Neutrino Telescope (TRIDENT) plans to incorporate silicon
photomultipliers (SiPMs) with superior time resolution in addition to
photomultiplier tubes (PMTs) into its detection units, namely hybrid Digital
Optical Modules (hDOMs), to improve its angular resolution. However, the time
resolution significantly degrades for large-area SiPMs due to the large
detector capacitance, posing significant challenges for the readout electronics
of SiPMs in hDOM. We analyzed the influences of series and parallel connections
when constructing a large-area SiPM array and designed a series-parallel
connection SiPM array with differential output. We also designed a high-speed
pre-amplifier based on transformers (MABA-007159) and radio frequency
amplifiers (BGA2803), and an analog multi-channel summing circuit based on
operational amplifiers (LMH6629). We measured the single photon time resolution
(SPTR) of a $4\times4$ SiPM (Hamamatsu S13360-3050PE) array
($12\times12~\mathrm{mm}^2$) of approximately 300 ps FWHM. This front-end
readout design enables the large-area SiPM array to achieve high-precision
single photon time measurement in one readout channel.
