The Purcell Factor of a Dipole Molecule Located Near a Spherical Metal Nanoparticle
| Authors | H.V. Moroz1, V.P. Kurbatsky1, A.V. Korotun1,2 , N.M. Nagorna1 |
| Affiliations |
1Zaporizhzhia Polytechnic National University, 69063 Zaporizhzhia, Ukraine 2G.V. Kurdyumov Institute for Metal Physics, NAS of Ukraine, 03142 Kyiv, Ukraine
|
| Е-mail | andko@zp.edu.ua |
| Issue | Volume 16, Year 2024, Number 6 |
| Dates | Received 23 September 2024; revised manuscript received 14 December 2024; published online 23 December 2024 |
| Citation | H.V. Moroz, V.P. Kurbatsky, A.V. Korotun, et al., J. Nano- Electron. Phys. 16 No 6, 06032 (2024) |
| DOI | https://doi.org/10.21272/jnep.16(6).06032 |
| PACS Number(s) | 42.60.By, 73.20.Mf, 78.20.Ci |
| Keywords | Purcell factor, Dipole molecule, Metal nanoparticle, Surface plasmon resonance. |
| Annotation |
The paper considers the problem of the effect of a spherical metal nanoparticle on the spontaneous radiation of a dipole molecule located in the vicinity of the nanoparticle. Expressions for the frequency and size (at the surface plasmon resonance frequency) dependences of the Purcell factor, as well as the coupling factor with the resonator, were obtained. It is the nanoparticle that acts as a resonator. The Drude model is considered suitable for the frequency dependence of the dielectric function. Calculations were performed for spherical nanoparticles of different radii and made of different metals, located in different dielectric media and at different distances from the dipole molecule, taking into account volume and surface relaxation and radiation attenuation.According to the results of the calculations, it was established that the frequency dependences of the Purcell factor and the coupling factor with the resonator are characterized by two maxima. One of them, with a relatively small width, is observed at a frequency that practically coincides with the frequency of the surface plasmon resonance of a single spherical metal nanoparticle. The second, broad, is in the red or infrared region of the spectrum. It is proved that the reason for the emergence of this second low-frequency maximum is the resonance of the "whispering gallery" modes. At the same frequency, the greater the radius of the nanoparticle and the smaller the distance from it to the dipole molecule, the larger the investigated factors are. It has been demonstrated that a change in the material of a nanoparticle results in a change in the value of the Purcell factor and a shift of the maxima in its frequency dependence. The reason for this effect is a significant difference in the plasma frequency and the fraction of interband transitions in the dielectric function for different metals. The effect of the environment in which the silver nanoparticle-dipole system is located on the frequency and size dependence of the Purcell factor was studied. It was established that with an increase in the dielectric constant of the medium, the value of the Purcell factor decreases and the maxima of its frequency dependence shift to lower frequencies. |
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