标题： 大阵列成像大气切伦科夫望远镜（LACT）的布局优化与性能 显示英文标题

标题： Layout optimization and Performance of Large Array of imaging atmospheric Cherenkov Telescope (LACT)

摘要： 大型切伦科夫望远镜阵列（LACT）是在高海拔宇宙线观测站（LHAASO）站址计划建造的一个由32台直径6米的切伦科夫望远镜组成的阵列。在这项工作中，我们研究了LACT的布局优化和性能分析。我们调查了两种观测模式：大天顶角观测用于超高能事件，小天顶角观测用于降低能量阈值。对于大天顶角（60{\deg }），模拟显示一个8台望远镜的小阵列可以达到$3 ~\rm km^2$的有效面积和优秀的角分辨率。对于小天顶角，我们优化了4台望远镜单元和整个32台望远镜阵列的布局。全阵列的阈值约为$200~\rm GeV$，这对研究瞬变现象（包括伽马射线暴（GRB）和活动星系核（AGN））尤为重要。这项研究为不同观测条件下的最终LACT布局设计和性能评估提供了重要的指导，展示了LACT在超高能\gray 源的深度观测以及PeVatron形态学研究和时域\gray 天文学方面的潜力。 显示英文摘要

摘要： Large Array of imaging atmospheric Cherenkov Telescope (LACT) is an array of 32 Cherenkov telescopes with 6-meter diameter mirrors to be constructed at the LHAASO site. In this work, we present a study on the layout optimization and performance analysis of LACT. We investigate two observation modes: large zenith angle observations for ultra-high energy events and small zenith angle observations for lower energy thresholds. For large zenith angles (60{\deg}), simulations show that an 8-telescope subarray can achieve an effective area of $3 ~\rm km^2$ and excellent angular resolution. For small zenith angles, we optimize the layout of 4-telescope cells and the full 32-telescope array. The threshold of the full array is about $200~\rm GeV$, which is particularly crucial for studying transient phenomena, including gamma-ray bursts (GRBs) and active galactic nuclei (AGNs). This study provides important guidance for the final LACT layout design and performance estimates under different observational conditions, demonstrating LACT's potential for deep observations of ultra-high energy \gray sources and morphological studies of PeVatrons, as well as time-domain \gray astronomy.