Anisotropic Medium Approach for the Optical Nonlinearities of Dilute Nitride Superlattices

Analytical Expressions for Numerical Characterization of Semiconductors per Comparison with Luminescence

“…The fully numerical solutions of the equations that use this version of the approximation have given very good agreement with both single beam and pump-probe luminescence [ 20 , 25 ]. Its usefulness has been further confirmed recently by the good agreement between the analytical solutions shown here and the experimental luminescence of dilute semiconductors [ 7 , 8 , 9 , 14 ].…”

“…Very good agreement of this theory with results from different experimental teams for a variety of materials has been obtained with carrier densities around 10 15 carriers/cm 3 [ 7 , 8 , 9 ], further justifying the range of densities in the y -axis. The theory has also been used for high temperatures and high densities to investigate optical nonlinearites [ 14 , 15 , 16 ], and this range is illustrated in Figure 2 .…”

“…The interplay of homogeneous versus inhomogeneous broadening at low and high temperatures are described, together with the relevance of many body effects, which are in very good agreement with experiments [ 10 , 11 , 12 , 13 ]. A similar set of equations was also used to study nonlinearities in GaAs–AlGasAs and GaAsN–AlGaAs superlattices [ 14 , 15 , 16 ]. The superlattice case is particularly noteworthy for room temperature GHz nonlinear multiplication into the THz range [ 17 , 18 ].…”

“…This paper has two objectives: to show hitherto unpublished details of the mathematical steps that lead to the equations used in Refs. [ 7 , 8 , 9 , 14 , 15 , 16 ], and to draw a bridge between the luminescence and nonlinear absorption calculations in superlattices. It is organized as follows: the main steps involving manipulations of hypergeometric functions that characterize the solution of the Hulthén potential problem are delivered.…”

Luminescence and absorption in short period superlattices

“…Notably, the "s-shape" in the luminescence profiles as a function of temperature for these materials have been studied in ternary GaAs1-xBix [20] and InAs1-xNx [21] as well as for more complex quaternary materials, such as InAs1-x-yNxSby [22], all in very good agreement with experimental data from different teams [23][24][25][26]. In a parallel effort, analytical solutions have shown that absorption nonlinearities increase with the anisotropy in SSLs [27][28][29].…”