建立了反射端面为弧形形变的光纤F-P传感腔数学模型.将弧形形变的F-P腔等效为阶梯分布的、环状、平行端面F-P腔体的组合，结合多光束干涉理论，利用光强叠加处理方法对弧形腔输出光强进行数学建模.依所建模型仿真，提出弧形端面曲率大于300 μm时，利用弧形形变特性进行传感测量的可行性.选取腔长变动大、形变弧度小，平衡状态稳定性高的形变端面保证传感腔的高灵敏度和稳定的工作点.

A mathematical model for optical fiber Fabry-Perot (F-P) cavity with an arc reflector was proposed.The arc end was assimilated to a step-like model which was structured by annular plane-end fiber F-P cavities.The mathematical model was educed by integral of the annular plane-end fiber F-P cavities and multiple-beam interference theory.Simulation was done based on the mathematical model.When the curvature radius of the arc end is larger than 300 μm,detection is feasible by utilizing arc deformation of the end.To ensure high sensitivity and stable working point,the arc-deformed end must induce large cavity-length range,deform in small radian and has invariable stable state.