Turkish Journal of Physics, cilt.49, sa.4, ss.181-193, 2025 (ESCI)
Optomechanics is an emerging research topic that explores the mechanical effects of light. In this paper, we present an analytical study of the mode frequency perturbation in a three-dimensional Fabry-Pérot cavity containing a partially transparent membrane. Our analysis reveals that the maximum effect of the membrane occurs when it is placed at an antinode, where the field is at its maximum. The effect is minimized when the membrane is placed at a node, where the field is at a minimum, corroborating earlier one-dimensional “dielectric bump model” calculations. In contrast to previous models, we consider the membrane’s finite thickness and the curvature of the end mirrors, showing that the mode frequency varies with membrane thickness and beam waist. Understanding how mode frequency depends on system geometry and membrane position is crucial, as it impacts the optomechanical coupling strength, which is vital for investigating the boundary between quantum and classical mechanics and has significant implications for quantum technology applications.