Optimization of Multiple Active Ion Doped Fiber Amplifiers for Three Communication Windows

Table 1

Spectral parameters of Er³⁺-doped and Tm³⁺ and Pr³⁺ doped telluride fiber for numerical calculation.

Parameter	Symbol	Value	Unit	Remarks
Core diameter	2r	5.0	𝜇m
Background loss	𝛼	0.1	dB/m
Pr^3+	σ prseB,σ prsaB,	2.0 × 10^-25	m^2
	σ prseA,σ prsaA,	6.3 × 10^-25	m^2	[17]
	𝐴31	4000	1/s
	𝐴42	2778	1/s
Tm^3+	σ tmseA	4.5 × 10^-25	m^2
	σ tmsaA	4.5 × 10^-25	m^2
	σ tmseB	8.6 × 10^-25	m^2
	σ tmsaB	8.6 × 10^-25	m^2
	𝐴10-9	311	1/s	[18]
	𝐴11-10	131	1/s
	𝐴10-9	400	1/s
	σ tmpa	4.5 × 10^-25	m^2
	σ tmpe	1.0 × 10^-27	m^2
Er^3+	σ erse	8.6 × 10^-25	m^2
	σ ersa	8.5 × 10^-25	m^2
	σ erpe	1.0 × 10^-26	m^2
	σ erpa	4.48 × 10^-25	m^2
	σ erpe	1.0 × 10^-27	m^2	[18]
	𝐴65	172.4	1/s
	𝐴85	1804.3	1/s
	𝐴76	1000	1/s
	𝐴87	51000	1/s
Overlap factor	Γ(𝜆)	0.876		800 nm
		0.500		1310 nm
		0.641		1470 nm
		0.451		1530 nm
		0.300		1650 nm