Quasi-Babinet principle in dielectric resonators and Mie voids
arxiv(2023)
摘要
Advancing resonant nanophotonics requires novel building blocks. Recently,
cavities in high-index dielectrics have been shown to resonantly confine light
inside a lower-index region. These so-called Mie voids represent a counterpart
to solid high-index dielectric Mie resonators, offering novel functionality
such as resonant behavior in the ultraviolet spectral region. However, the
well-known and highly useful Babinet's principle, which relates the scattering
of solid and inverse structures, is not strictly applicable for this dielectric
case as it is only valid for infinitesimally thin perfect electric conductors.
Here, we show that Babinet's principle can be generalized to dielectric systems
within certain boundaries, which we refer to as the quasi-Babinet principle and
demonstrate for spherical and more generically shaped Mie resonators.
Limitations arise due to geometry-dependent terms as well as material frequency
dispersion and losses. Thus, our work not only offers deeper physical insight
into the working mechanism of these systems but also establishes simple design
rules for constructing dielectric resonators with complex functionalities from
their complementary counterparts.
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