Cavity Stability / g-factor

Input Parameters:
L = Cavity length
R₁ = Mirror 1 radius of curvature
R₂ = Mirror 2 radius of curvature
[Cavity Stability Diagram Placeholder]
$$ g_1 = 1 - \frac{L}{R_1}, \quad g_2 = 1 - \frac{L}{R_2} $$
g₁ = ?
g₂ = ?
Stability: ?
Output Parameters:
g₁, g₂ = Cavity g-factors
Stability = True if 0 < g₁·g₂ < 1