Abstract

Energy-based methods such 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 Letter, 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.

© 2017 Optical Society of America

Modal approach to optical forces between waveguides as derived by transformation optics formalism

Hideo Iizuka and Shanhui Fan
Opt. Lett. 44(4) 867-870 (2019)

General Treatment of Optical Forces and Potentials in Mechanically Variable Photonic Systems

Peter T. Rakich, Miloš A. Popović, and Zheng Wang
Opt. Express 17(20) 18116-18135 (2009)

Efficient method for the calculation of the optical force of multiple nanoparticles based on the coupling theory of quasinormal modes

Zhe Qi, Ying Zhong, and Haitao Liu
Opt. Lett. 46(18) 4610-4613 (2021)

Efficient method for the calculation of the optical force of a single nanoparticle based on the quasinormal mode expansion

Zhe Qi, Can Tao, Sheng Rong, Ying Zhong, and Haitao Liu
Opt. Lett. 46(11) 2658-2661 (2021)

Optical gradient forces between evanescently coupled waveguides

Mohammad-Ali Miri, Michele Cotrufo, and Andrea Alu
Opt. Lett. 43(17) 4104-4107 (2018)