“…Since the excitons in the WL have exciton dipoles oriented parallel to the plane of the sample surface, under the conditions of the metal nanoparticle radius R ≪ λ and weak coupling, the total scattering field of the metal nanoparticles will affect the electromagnetic LDOS around the excitons in the WL. The normalized decay rate of the exciton dipoles in the WL can be written as where is the wave vector in the medium, λ the wavelength in vacuum, n the refractive index of the medium, N is the average particle number of metal nanoparticles, and z = D + R is the distance between the emitter and the center of the metal nanoparticle. Here D is the thickness of the GaAs space layer ( D = 10, 15, 19, 25, 35 nm for different samples) and R is the radius of the Ag nanoparticle.…”