Modulation bandwidth of metal-clad semiconductor nanolasers with cavity-enhanced spontaneous emission

Analytical approximations for the direct-current modulation bandwidth are obtained which highlight the deleterious effect of enhanced modal refractive index on the resonance frequency of metal-clad nanolasers. The concomitant utilisation of Purcell cavity-enhanced spontaneous emission is shown, in principle, to compromise achievable modulation bandwidths further. Using simplified forms for the modulation bandwidth, estimates are made which suggest significant impact on the achievable dynamical response of such lasers. The presented analysis may assist in the design of semiconductor nanolasers.