Pulse Propagation in Presence of Polarization Mode Dispersion and Chromatic Dispersion in Single Mode Fibers

Table 1

Parameters specifications for different effects.

Case	Effects	Parameters specification
1	CD only	𝛼1=𝛼2=𝛼3=𝛼4=𝛽2𝑇𝐿,1=𝑇2=𝑇3=𝑇4,𝜏0=𝑚=𝑛=0,Δ𝜏0=Δ𝜏^′=2𝑘=0
2	FOPMD and CD	𝛼1=𝛼2=𝛼3=𝛼4=𝛽2𝑇𝐿,1=𝑇2=𝑇3=𝑇4,𝜏0≠0,𝑚=𝑛=0
3	SOPMD and CD	𝛼1=−𝛼2=Δ𝜏^′+2𝑘Δ𝜏0; 𝛼3=−𝛼4=Δ𝜏^′−2𝑘Δ𝜏0; 𝑇1≠𝑇2≠𝑇3≠𝑇4; If 𝐶≠0; 𝑇1=𝑇2; 𝑇3=𝑇4; If 𝐶=0, 𝜏0=𝑛=0,𝑚≠0
4	Orthogonal SOPMD and CD,; 2𝑘≠0,; Δ𝜏^′=0	𝛼1=𝛼4=𝛽2𝐿+2𝑘Δ𝜏0,𝛼2=𝛼3=𝛽2𝐿−2𝑘Δ𝜏0,𝑇1=𝑇4;𝑇2=𝑇3𝜏0=𝑛=0,𝑚≠0
5	Parallel SOPMD and CD,; 2𝑘=0,; Δ𝜏^′≠0	𝛼1=𝛼3=𝛽2𝐿+Δ𝜏^′,𝛼2=𝛼4=𝛽2𝐿−Δ𝜏^′,𝑇1=𝑇3;𝑇2=𝑇4𝜏0=𝑛=0,𝑚≠0
6	SOPMD and FOPMD; (general)	𝛼1=−𝛼2=Δ𝜏^′+2𝑘Δ𝜏0,; 𝛼3=−𝛼4=Δ𝜏^′−2𝑘Δ𝜏0; If 𝐶≠0 then 𝑇1≠𝑇2≠𝑇3≠𝑇4; If 𝐶=0 then 𝑇1=𝑇2; 𝑇3=𝑇4,; 𝜏0⟂𝑚⟂𝑛≠0