Abstract

Optical force between two lossless waveguides has been described by two approaches. One approach is the explicit description of the force by the Maxwell stress tensor. Another approach is to describe the modal force in terms of the derivative of the eigenmode frequency with respect to the distance variation. Here, we analytically prove the equivalence of these two approaches for lossless waveguides having arbitrary cross sections through the use of transformation optics formalism. Our derivation is applicable to both pressure and shear forces. We also show that these two approaches are not equivalent in the presence of loss.

© 2019 Optical Society of America

Optical gradient forces between evanescently coupled waveguides

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

Anomalous optical forces in PT-symmetric waveguides

Mohammad-Ali Miri, Michele Cotrufo, and Andrea Alù
Opt. Lett. 44(14) 3558-3561 (2019)

Optical forces through the effective refractive index

Janderson R. Rodrigues and Vilson R. Almeida
Opt. Lett. 42(21) 4371-4374 (2017)

Scaling of optical forces in dielectric waveguides: rigorous connection between radiation pressure and dispersion

Peter T. Rakich, Zheng Wang, and Paul Davids
Opt. Lett. 36(2) 217-219 (2011)

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)