Mode-dependent Emission Thresholds and Frequencies in Metal Nanoparticles within Gain-enhanced Media
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arXiv
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| Hauptverfasser: | , , , , , , , |
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| Format: | Preprint |
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2025
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| author | Caicedo, Karen Recalde, Nicole Mora, Milena Moreta, Alonso Iatì, Maria Antonia Maragò, Onofrio M. Infusino, Melissa Veltri, Alessandro |
| author_facet | Caicedo, Karen Recalde, Nicole Mora, Milena Moreta, Alonso Iatì, Maria Antonia Maragò, Onofrio M. Infusino, Melissa Veltri, Alessandro |
| contents | We present a mode-resolved analysis of emission thresholds in metal nanoparticles embedded within an infinite gain medium, using Mie scattering theory as a rigorous framework. Focusing on the first three resonant modes, we identify the onset of emission by locating the complex zeros of the electric scattering coefficient a_n(omega), which serve as indicators of lasing conditions. Our hybrid numerical scheme-combining coarse bracketing and two-dimensional Newton refinement-enables precise determination of both the threshold gain G_th,n and the corresponding emission frequency omega_th,n across varying particle radii. The results uncover strong size-dependent behavior, with higher-order modes in larger particles exhibiting significantly reduced threshold gain. These insights elucidate the modal dynamics underlying plasmonic nanolasing and provide design guidelines for active photonic systems leveraging gain-enhanced nanoparticles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_03601 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mode-dependent Emission Thresholds and Frequencies in Metal Nanoparticles within Gain-enhanced Media Caicedo, Karen Recalde, Nicole Mora, Milena Moreta, Alonso Iatì, Maria Antonia Maragò, Onofrio M. Infusino, Melissa Veltri, Alessandro Optics We present a mode-resolved analysis of emission thresholds in metal nanoparticles embedded within an infinite gain medium, using Mie scattering theory as a rigorous framework. Focusing on the first three resonant modes, we identify the onset of emission by locating the complex zeros of the electric scattering coefficient a_n(omega), which serve as indicators of lasing conditions. Our hybrid numerical scheme-combining coarse bracketing and two-dimensional Newton refinement-enables precise determination of both the threshold gain G_th,n and the corresponding emission frequency omega_th,n across varying particle radii. The results uncover strong size-dependent behavior, with higher-order modes in larger particles exhibiting significantly reduced threshold gain. These insights elucidate the modal dynamics underlying plasmonic nanolasing and provide design guidelines for active photonic systems leveraging gain-enhanced nanoparticles. |
| title | Mode-dependent Emission Thresholds and Frequencies in Metal Nanoparticles within Gain-enhanced Media |
| topic | Optics |
| url | https://arxiv.org/abs/2507.03601 |