  Optical resonators are important devices that control the properties of light
and manipulate light-matter interaction. Various optical resonators are
designed and fabricated using different techniques. For example, in coupled
resonator optical waveguides, light energy is transported to other resonators
through near-field coupling. In recent years, magnetic optical resonators based
on LC resonance have been realized in several metallic microstructures. Such
devices possess stronger local resonance and lower radiation loss compared with
electric optical resonators. This study provides an overall introduction on the
latest progress in coupled magnetic resonator optical waveguide (CMROW).
Various waveguides composed of different magnetic resonators are presented and
Lagrangian formalism is used to describe the CMROW. Moreover, several
interesting properties of CMROW, such as abnormal dispersions and slow light
effects, are discussed and CMROW applications in nonlinear and quantum optics
are shown. Future novel nanophotonic devices can be developed using CMROW.
