We present a general method for modeling spin-lasers such as spin-polarized vertical cavity surface emitting laser (spin-VCSELs) with multiple quantum wells including anisotropic effects such as i) the emission of elliptically-polarized photons and originating from unbalanced spin-up and spin-down pumps, ii) the linear gain dichroism originating from the reduction from Td to C2v symmetry group at the III-V ternary interfaces and iii) the locally linear birefringence due to the anisotropic strain field at surface of ½ VECSELs an optical birefringence of quantum wells from the Henry’s factor. New recurrence calculations, together with analytically gain tensor derived from Maxwell-Bloch equations, enable to model emission from multiple quantum well active zones to find the laser resonance conditions and properties of eigenmodes.
The method is demonstrated on real semiconductor laser structures. It is used for the extraction of optical permittivity tensors of surface strain and of quantum wells (QWs). The laser structures are also experimentally studied via ellipsometry methods by measurement of the rotation spectra of complete Mueller matrix in the reflection geometry. The anisotropic optical permittivity constants in the spectral range from 0.73 to 6.4 eV are modeled in order to disantangle surface and QWs contributions to the linear optical birefringence of the structures.
In our previous paper [T. Fördös, et al., J. Opt. 16 (2014) 065008] we have proposed a new approach for modeling of polarized light emission from anisotropic multilayers with active dipole layers. The method is suitable to model spin-polarized light emitting diodes (spin-LED) and spin-lasers. This paper deals with generalization of the approach to scattering matrix (S-matrix) formalism and to laterally periodic structures in the frame of rigorous coupled wave algorithm (RCWA). We use expansion of the permittivity tensor in a grating layer into Fourier series and the periodic electromagnetic field in the structure is expressed using a matrix method including appropriate boundary conditions. The new approach based on S-matrix formalism is also suitable for modeling of monomode emission from MQW laser structures with multiple source layers.
Using Yeh's matrix formalism, the approximate formulas for the magneto-optical effects in reflection from semi-infinite
orthorhombic crystal with symmetry axes parallel to the Cartesian axes are derived for a general orientation
of the magnetization vector. The magneto-optical (MO) effects in such structures are usually calculated
numerically, but theoretical formulas give us physical insight into these effects and an good understanding of
their symmetry properties. The near normal incidence approximation allows to study effects, which appear in the
case of small angle of incidence in the contrast to the normal incidence. Different dependencies of these effects
on the sample rotation allow us to distinguish between trigonal, tertragonal and hexagonal structures including
and missing two-fold in-plane symmetry axis. The theoretical description of the magneto-optical effects can be
applied to the magneto-optical ellipsometry, which is very sensitive nondestructive methods suitable for study
of magnetic anisotropy, magnetization reversal properties of nanostructures, and exchange coupling.