We propose a nanobeam resonator incorporating an active monolayer, designed to achieve a high Purcell enhancement. The resonator is fully composed of transition-metal-dichalcogenide materials and intended to operate as a high-$\beta$-factor nanolaser. A theoretical framework that models and optimizes the Purcell enhancement associated with the emission from atomically thin layers is developed. This framework is based on a resonance expansion, enabling spectral resolution of physical quantities governed by high-$Q$ resonances. The numerical optimization of the resonator leads to the presence of a high-$Q$ resonance supporting a strong electric field confinement in the monolayer to maximize the modal gain.

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• Lasers
• Optical microcavities
• Photonic crystal waveguide
• Thin films
• Transition metal dichalcogenides
• Machine learning
• Maxwell's equations