Boundary integral equations for computer-aided design and simulations of near-field optics: two-dimensional optical manipulator

A new type of integral equations called guided-mode extracted integral equations, which has been developed by the authors, is applied to the simulations of a two-dimensional near-field optical circuit. An optical manipulator is taken as an example of near-field optical circuits. New integral equations that were obtained can be solved numerically by the conventional boundary-element method or by the moment method. Examples of computer simulations for the optical manipulator are presented. Simulation results show the validity and the correctness of the proposed method and reveal physical properties of the manipulation of a small particle by laser light emitted from a fiber probe.