In this work, we address the trajectory optimization of a fixed-wing unmanned aerial vehicle (UAV) using free space optical communication (FSOC). Here, we focus on maximizing the flight time of the UAV by considering practical constraints for wireless UAV communication, including limited propulsion energy and required data rates. We find optimized trajectories in various atmospheric environments (e.g., moderate-fog and heavy-fog conditions), while also considering the channel characteristics of FSOC. In addition to maximizing the flight time, we consider the energy efficiency maximization and operation-time minimization problem to find the suboptimal solutions required to meet those constraints.Furthermore, we introduce a low-complexity approach to the proposed framework. In order to address the optimization problem, we conduct a bisection method and sequential programming and introduce a new feasibility check algorithm. Although our design considers suboptimal solutions owing to the nonconvexity of the problems, our simulations indicate that the proposed scheme exhibits a gain of approximately 44.12% in terms of service time when compared to the conventional scheme. Free space optical communication (FSOC), wireless communications with an unmanned aerial vehicle (UAV), UAV-mounted FSOC, flight time maximization, trajectory design. I. INTRODUCTION Recently, unmanned aerial vehicles (UAVs) have attracted a great deal of attention in the area of wireless communication networks. Owing to their mobility and flexibility, UAVs can be dispatched as a mobile entity in a network. It can provide new opportunities in various communication applications and have the capability to complement conventional fixed networks. UAV-assisted communications can efficiently support already existing terrestrial communication infrastructure, including data offloading at a hot spot [1], [2]. For example, in case of a catastrophic event, UAV-mounted infrastructures can temporarily support service recovery initiatives and local interim communication facilities for potentially damaged infrastructures [3]. In addition, UAV-assisted relaying can help to extend base station connectivity, from one station to another, in situations where the nodes are widely scattered and/or obstacles such as hills or large buildings are present [4].Principally, we envision that most future networks will be highly user-centric, increasing the user demand information due to an exponential increase in the internet of things (IoT), fifth-generation (5G) mobile networks, and beyond-5G wireless networks. Accordingly, UAVmounted fronthaul and backhaul frameworks have been considered as a promising approach to handle unexpected or temporarily large amounts of information that is commonly required by user terminals [5], [6]. By leveraging the UAV-mounted fronthaul and backhaul links, large-scale projects are now underway in several research groups and information technology companies,including Global Access to the Internet for All (GAIA) [7], Project Loon by Google [8], and...