Analysis of double-parallel amplified recirculating optical-delay lines

Calculated and Simulated Frequencies ^a

a Parameters are k ₁ = 0.72, k ₂ = 0.63, G ₁ = G ₂ = G ₃ = 1, n = 1.44, l ₁ = 1 m, l ₂ = 2 m, l ₃ = 3 m, α = 0, and γ = 0.
b Frequencies calculated with Eq. (12).

Calculated and Measured Frequencies for Maxima and Minima ^a

a Frequencies where maxima and minima can be located when l ₁ = l ₂ = l ₃ = 2 m and n = 1.44.
b Calculated f _max determined with Eq. (12); calculated f _min determined with Eq. (13).
c Maxima and minima measured when l ₁ = l ₂ = l ₃ = 2 m, α₁ = α₂ = α₃ = 0.0003 dB/m, γ₁ = γ₂ = 0.05, k ₁ = 0.958, k ₂ = 0.912, G ₁ = G ₃ = 0.5, and G ₂ = 0.25.

Prevailing Rings as k ₁, and k ₂ Are Varied ^a

a All other DPAROD parameters are kept constant.
b The influence of ring 2 increases as k ₁ approaches unity.

Table 1

Calculated and Simulated Frequencies ^a

a Parameters are k ₁ = 0.72, k ₂ = 0.63, G ₁ = G ₂ = G ₃ = 1, n = 1.44, l ₁ = 1 m, l ₂ = 2 m, l ₃ = 3 m, α = 0, and γ = 0.
b Frequencies calculated with Eq. (12).

Table 2

Calculated and Measured Frequencies for Maxima and Minima ^a

a Frequencies where maxima and minima can be located when l ₁ = l ₂ = l ₃ = 2 m and n = 1.44.
b Calculated f _max determined with Eq. (12); calculated f _min determined with Eq. (13).
c Maxima and minima measured when l ₁ = l ₂ = l ₃ = 2 m, α₁ = α₂ = α₃ = 0.0003 dB/m, γ₁ = γ₂ = 0.05, k ₁ = 0.958, k ₂ = 0.912, G ₁ = G ₃ = 0.5, and G ₂ = 0.25.

Table 3

Prevailing Rings as k ₁, and k ₂ Are Varied ^a

a All other DPAROD parameters are kept constant.
b The influence of ring 2 increases as k ₁ approaches unity.