Optical forces through the effective refractive index

Abstract

The energy-based methods as the Dispersion Relation (DR) and Response Theory of Optical Forces (RTOF) have been largely applied to obtain the optical forces in the nano-optomechanical devices, in contrast to the Maxwell Stress Tensor (MST). In this work, we apply first principles to show explicitly why these methods must agree with the MST formalism in linear lossless systems. We apply the RTOF multi-port, to show that the optical force expression on these devices can be extended to analyze multiple light sources, broadband sources, and multimode devices, with multiple degrees of freedom. We also show that the DR method, when expressed as a function of the derivative of the effective index performed at a fixed wave vector, may be misinterpreted and lead to overestimated results.

4 pages, 2 figures

References in corpus (7)

• Evanescent-Wave Bonding Between Optical Waveguides
• Diamond Integrated Optomechanical Circuits
• Classical and fluctuation-induced electromagnetic interactions in micronscale systems: designer bonding, antibonding, and Casimir forces
• Giant Transverse Optical Forces in Nanoscale Slot Waveguides of Hyperbolic Metamaterials
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Cited by in corpus (4)

• Nature of Optical Thermodynamic Pressure Exerted in Highly Multimoded Nonlinear Systems
• Rigorous analysis of optical forces in dielectric structures based on the Minkowski-Helmholtz formula
• Optical force between two coupled identical parallel optical nanofibers
• Optimization of radiation pressure in dielectric nanowaveguides