Table 1.

Physical parameters exploited in this simulation.

Parameter	Value
Core radius, $r_1$	25 $\mathsf{\mu }$m
Inner cladding radius, $r_2$	200 $\mathsf{\mu }$m
Outer cladding radius, $r_3$	250 $\mathsf{\mu }$m
Doping concentration of Yb ion	$2\times {10}^{25}$/m3
Pumping power	5000 W
Signal light wavelength, ${\lambda }_s$	1064 $\mathsf{\mu }$m
Pumping wavelength, ${\lambda }_p$	976 $\mathsf{\mu }$m
Refractive index of fiber, $n_{co}$	1.4589
Refractive index of inner cladding, $n_{cl}$	1.4577
Spontaneous lifetime, $\tau$	900 $\mathsf{\mu }$s
Pump absorption cross-section, ${\sigma }_{ap}$	$2.4\times {10}^{-24}$ m2
Pump emission cross-section, ${\sigma }_{ep}$	$2.4\times {10}^{-24}$ m2
Signal absorption cross-section, ${\sigma }_{as}$	$3.6\times {10}^{-27}$ m2
Signal emission cross-section, ${\sigma }_{es}$	$4.3\times {10}^{-25}$ m2