Asymptotic analysis of subwavelength halide perovskite resonators

Abstract Halide perovskites are promising materials with many significant applications in photovoltaics and optoelectronics. Their highly dispersive permittivity relation leads to a non-linear relationship between the frequency wavenumber. This, turn, means resonance of system is described by eigenvalue problem, which mathematically challenging understand. In this paper, we use integral methods quantify resonant properties halide perovskite nano-particles. We prove that, for arbitrarily small particles, subwavelength frequencies can be expressed terms eigenvalues Newtonian potential associated its shape. also characterize hybridized dimer two particles. Finally, examine specific case spherical resonators demonstrate that our new results consistent previous works.