Numerical Simulation of 980 nm-LD-Pumped Yb³⁺-Er³⁺-Tm³⁺-Codoped Fiber Amplifier for 1500 nm and 1600 nm Bands

Table 1

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

Parameter	Symbol	Value	Unit	Remarks
Core diameter	2𝑟	5.0	𝜇m
Background loss	𝛼	0.1	dB/m
Spontaneous emission rate (Er^3+)	𝐴10	172.4	1/s	[37]
	𝐴40	1804.3	1/s
	𝐴21	1000	1/s
	𝐴32	51000	1/s
	𝐴54	51000	1/s
	𝐴65	51000	1/s
Spontaneous emission rate (Tm^3+)	𝑎21	311	1/s	[37]
	𝑎32	131	1/s
Energy transfer rate	𝑊ET1	140	1/s	[38]
	𝑊ET3	985	1/s
Transition rate of ASE	𝐴87	400	1/s	[37]
	𝐴41	1804.3	1/s
Pump absorption cross section	𝜎𝑝1	1.0 × 10^-25	m^2	[38]
	𝜎𝑝2	1.0 × 10^-26	m^2
	𝜎𝑝3	1.0 × 10^-25	m^2
Stimulated emission cross section (Er^3+)	𝜎21	8.6 × 10^-25	m^2	[38]
	𝜎12	8.5 × 10^-25	m^2
Pump emission cross section (Er^3+)	𝜎31	1.0 × 10^-26	m^2	[38]
Stimulated emission cross section (Tm^3+)	𝜎97	4.5 × 10^-25	m^2	[38]
	𝜎79	4.5 × 10^-25	m^2
	𝜎87	8.6 × 10^-25	m^2
	𝜎78	8.6 × 10^-25	m^2