Accurate dependences of spontaneous emission factor, lifetime, and photon lifetime on threshold current

【摘要】 Using the rate equation, several optical methods of characterizing the threshold of a laser diode（LD） were analyzed. The thresholds determined by all methods are consistent if the spontaneous-emission-coefficient（β） is small. If β>0.05, the thresholds obtained by different methods are different. Especially, for micro-nano LDs with a large β, these methods are starting to become inaccurate. However, the d2^S/dI²-I is a relatively accurate method to characterize threshold of these LDs compared to other methods. The effects of the spontaneous-emission-lifetime(τ_sp) and the photon-lifetime（τ_p） on thresholds were analyzed. The exact functions between the threshold and the β, τ_sp and τ_p were obtained.更多还原

【Abstract】 Using the rate equation, several optical methods of characterizing the threshold of a laser diode（LD） were analyzed. The thresholds determined by all methods are consistent if the spontaneous-emission-coefficient（β） is small. If β>0.05, the thresholds obtained by different methods are different. Especially, for micro-nano LDs with a large β, these methods are starting to become inaccurate. However, the d2^S/dI²-I is a relatively accurate method to characterize threshold of these LDs compared to other methods. The effects of the spontaneous-emission-lifetime(τ_sp) and the photon-lifetime（τ_p） on thresholds were analyzed. The exact functions between the threshold and the β, τ_sp and τ_p were obtained.更多还原