Authors:

Carolyn Sun

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About Paper:

The field of optomechanics is the study of the mechanical properties of light. Diverse optomechanical applications range from efficient switching in optical communication systems to precision control techniques and novel methods for probing single-protein dynamics with optical tweezers. The development of useful optomechanical devices requires accurate models of the underlying physics, where the mechanical response of a system to optical forces is fully described. However, there have been historical discrepancies regarding the theoretical considerations of the mechanical properties of light. Results from cornerstone optomechanical experiments conducted by Ashkin and Dziedzic, as well as by Jones and Leslie, provided a macroscopic understanding of incident radiation pressure. These findings contributed to a partial consensus that the Einstein-Laub electromagnetic force density formulation accurately predicts key, albeit limited, experimental observations. This lack of experimental data motivates the development of panoptic simulation tools for validation and experimental design purposes. Prior approaches primarily focused on the deflection of a thin membrane under only a constant, single frequency pressure source. This project presents an alternative model that simulates membrane responses to a pulsed pressure source with specified spatial and temporal profiles. We model the membrane mechanical response with a two-dimensional partial differential equation. Decomposition of the spatial profiles of the pressure and membrane response into orthogonal spatial modes allows treatment of the motion as a sum of uncoupled damped harmonic oscillators; the temporal profile is treated as a series of infinitesimal impulses. This dynamic forward model for membrane motion in response to electromagnetic stimuli will assist in future optomechanical experiment design and interpretation of data. Keywords: Optomechanics; Membrane Vibration; Optical Pressure; Pulsed Laser; Forward Dynamic Simulation

Source:

Purdue University / 2024

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Co-authors:

Carolyn Sun