Finite-Size Corrections to Gradient Radiation Forces in High-Q Cylindrical Cavities

This paper examines finite-size corrections to electromagnetic gradient radiation forces in high-Q cylindrical cavities. Standard dipole approximations assume particles are small compared to the cavity scale; however, numerical analysis shows that when the particle radius exceeds approximately 10% of the cavity radius, higher-order multipole scattering significantly modifies the force profile.

Finite-element simulations demonstrate deviations of 50–150% from the dipole prediction due to field redistribution and multipolar coupling inside the resonant cavity. These results highlight the importance of geometry-dependent energy redistribution in confined oscillatory systems.

Beyond their immediate relevance to cavity optomechanics and resonant trapping, these findings illustrate a broader principle: oscillatory energy fields reorganize in response to geometric constraints, producing emergent force structures that cannot be captured by simple approximations.

This work forms part of the ongoing SUPT (Sheppard's Univeral Proxy Theory) research program, which investigates how oscillations under constraints produce stable identities across physical systems.