Abstract

Spin-polarized light sources such as the spin-polarized light-emitting diodes (spin-LEDs) and spin-polarized lasers (spin-lasers) are prospective devices in which the radiative recombination of spin-polarized carriers results in emission of circularly polarized photons. The main goal of this article is to model emitted radiation and its polarization properties from spin-LED and spin-controlled vertical-cavity surface-emitting laser (spin-VCSEL) solid-state structures. A novel approach based on 4 × 4 transfer matrix formalism is derived for modeling of the interaction of light with matter in active media of resonant multilayer anisotropic structure and enables magneto-optical effects. Quantum transitions, which result in photon emission, are described using general Jones source vectors.

Highlights

  • Spin-polarized light sources such as the spin-polarized lightemitting diodes and spin-polarized lasers are prospective devices in which the radiative recombination of spin-polarized carriers results in emission of circularly polarized photons

  • A precise modeling of light emission from multilayer structure with active layer is strongly required. It could be based on two steps: (i) representation of active layer with dipole sources and (ii) modeling of light propagation in resonant multilayer structures by using an appropriate matrix approach fulfilling Maxwell equations in each layer

  • Such approach uses transfer matrix formalism for description of light propagation in isotropic structure, while the vectorial problem of the dipole emission was decomposed in three scalar problems:(i) s- and p-field generated by a dipole parallel to the interface and (ii) a single p-field generated by a dipole perpendicular to the interfaces

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Summary

Introduction

Spin-polarized light sources such as the spin-polarized lightemitting diodes (spin-LEDs) and spin-polarized lasers (spinlasers) are prospective devices in which the radiative recombination of spin-polarized carriers results in emission of circularly polarized photons. Optical interactions between the dipole field and the isotropic multilayer structure was efficiently described by Benisty [18] in the end of the nineties Such approach uses transfer matrix formalism for description of light propagation in isotropic structure, while the vectorial problem of the dipole emission was decomposed in three scalar problems:(i) s- and p-field generated by a dipole parallel to the interface and (ii) a single p-field generated by a dipole perpendicular to the interfaces. We propose an approach, which (i) describes general polarization of emitted photons related to the quantum optical selection rules and consider spin polarization of injected current or generally polarized optical pumping field, (ii) describes the propagation of emitted field in general anisotropic multilayer system consisting of strained or magneto-optically active films, (iii) correctly defines phases of incoherent spontaneous emission and coherent stimulated emission, and (iv) describes the complete polarization state of emitted field from laser structure and conditions for laser resonance.

New approach for modeling of spin-LED and spinVCSEL structures
Distribution of the source amplitude
Quantum optical selection rules: normal emission
Method of two-crossed linear sources
More general approach: oblique direction of emission
Model of realistic half spin-VCSEL
Conclusions
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