Formulas Derya Taray July 12, 2023 Abstract 1 Formulas ωCE = χ2 = ∆φ T (1) ωr = 315.2M Hz (2) ωn = ωCE + n · ωr (3) f1,i = f0 + κDS · βi + κSOD · Ti + κAC · Pi + κP S · Ai (4) X (f1,i − f0 − κDS · βi − κSOD · Ti − κAC · Pi − κP S · Ai )2 2 2 2 2 2 2 + κ2 σ 2 + κ2 σ1,i DS β,i SOD σT,i + κAC σP,i + κP S σA,i i (5) Enlj = −hcR∞ · 1 me CN S 2 − f (α, · rN , ...) − δ nlj l,0 n2 mp n3 (6) ∆ν = κSOD · T (7) P ≥ 2W (8) λ = 820nm (9) τ = 1.3ps (10) ∆λ ≈ 0.5nm (11) frep = 157.6M Hz (12) 1 Ipeak = w02 Pavg · τ · frep d2 dω 2 κSOD (13) (14) ( -403 Hz/K = -268 Hz/K v << 1200 m s v >> 1200 m s κDS · (f2 − f3 ) κP S · A κAC · P κSOD = -315 Hz/KκDS = -0.043 Rin = 0.9 Tin = 0.064 Lin = 0.036 Rout = 0.97 Tout = 0.00054 Lout = 0.02964 t2in (1 − rin rout )2 Pc (Pin ) = Pin · M · Pc (Pout ) = Pc (Pin ) = Pin · M · Pc (Pout ) = Pout Tout l · t2in (1 − l · rin rout )2 Pout l · Tout ( 396µm H 251µm D p +κP D · Pi · Ti ω(zm ) = R(x, y) = R0 · (1 − α I(x, y) ) I0 R(x, y) = R0 · (1 − α(1 − 2 I(x, y) )) I0 (15) (16)