Generalized transfer function of a single-mode semiconductor laser across threshold: a self-consistent analysis

Active optical micro-resonators seen as mesoscopic photonic atoms

“…For a ring geometry as well as for a FPR, its generic expression is shown to be [8][9] : where I U (ω) ≈ β sp hω r sp (ω) L is the spectral density of intrinsic intensity generated along length L of the active zone, β sp the fraction of spontaneous emission that couples into the mode, r sp (ω) the spectral rate of spontaneous emission per unit volume [in s -1 ·(rad/s) -1 ·m -3 ], F(ω) a slowly-varying function of opto-geometric origin, and D(ω) = 1 − R eff exp(-i Φ) the complex denominator of the Airy function. The internal and emitted fields are filtered into the resonance modes, and the total saturating intensity reads:…”

“…In the specific case of active resonators, the concept of Generalized Airy Function, as derived from Extended Transfer or Scattering Matrix Formalism, provides us with an elegant way of further widening this analogy by taking internal sources into account explicitly [6][7][8][9] . This semi-classical approach leads to the analytical self-consistent description of a steady-state single-mode laser oscillator, that holds continuously across threshold.…”