End-pumped and multi-point pumped Yb3+-dopedYb3+-dopeded and index antiguided (GG+IAG) fiber laser are analyzed by solving the rate equations and 3-D thermal conduction equations.
With differently objective functions and pumping powers, applying the genetic algorithm optimizes three parameters (fiber length L, pumping wavelength λp and signal power Ps) of the given single fiber EDFA by solving the rate and power propagation equations.
Here, the WPE of the laser is obtained by solving the rate equations and the power output expression, i.e., 31, where ηc is the collection efficiency, αg (αm) is the cavity absorption (mirror) losses per unit length, Sph is the photon density, τp is the photon lifetime, h0 is the Planck constant, and c is the speed of light in free space.
With a objective function and different pumping powers, five critical parameters (the fiber length, L; the proportion of pump power for pumping Nd3+, η; Nd3+ and Yb3+ concentrations, NNd and NYb and output mirror reflectivity, Rout) of the given NYDFLs are optimized by solving the rate and power propagation equations.
By solving the rate equations and the propagation equations based on the energy transfer process of Er3+ and Yb3+ ions, the effects of the cooperative upconversion (UC) on the gain and noise characteristics of the Er3+ doped and Er3+/Yb3+ co-doped waveguide amplifiers are analyzed.
To our knowledge, this paper is the first one which describes the impact of gain compression factor on modulation response by solving the rate equations.
Pump light propagation and output laser characteristics are both explored by solving the related rate equations.
The expression of the kinetic current as a function of chlorine and H+ concentration was obtained by solving the elementary rate equations of the kinetic mechanism.
The expressions of pulse characteristics such as output energy, peak power, and pulse width are obtained by solving the coupled rate equations describing the operation of GaAs semiconductor saturable absorber Q-switched lasers.
Thus, the achievable rate region (R2 vs. R1+R2) can be obtained by solving the weighted sum rate (θ·R1+ 1-θ ·R2) maximization for θ∈ [ 0,0.5].
The boundary of the achievable rate region of the Vandermonde precoding can be characterized by solving the weighted sum rate maximization.
