A theoretical description of light emission, propagation and re-absorption in semiconductor multilayer stacks is derived based on the transverse Green’s function of the electromagnetic field in the presence of a complex dielectric. The canonical dipole emission model is parametrized in terms of the local optical material constants and the local quasi-Fermi level splitting using the detailed balance relation between local absorption and emission rates. The framework obtained in this way is shown to reproduce the generalized Kirchhoff relations between the luminescent emission from metal halide perovskite slabs under uniform excitation and the slab absorptance of light with arbitrary angle of incidence. Use of the proper local density of transverse photon states in the local emission rate includes cavity effects in the generalized Planck law for internal spontaneous emission, which are neglected in the conventional Van Roosbroeck-Shockley formalism and avoids spurious divergencies due to non-radiative energy transfer via longitudinal modes. Finally, a consistent treatment of re-absorption provides the local rate of secondary photogeneration required for the consideration of photon recycling in an opto-electronic device simulator that includes the effects of charge transport.

中文翻译：

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偶极子发射与详细平衡速率的协调，用于模拟钙钛矿太阳能电池中的发光和光子循环

在复合电介质存在的情况下，基于电磁场的横向格林函数，得出了半导体多层堆叠中的光发射，传播和再吸收的理论描述。使用局部吸收率和发射率之间的详细平衡关系，根据局部光学材料常数和局部准费米能级分裂对典型偶极子发射模型进行参数化。以此方式获得的框架显示出再现了在均匀激发下金属卤化物钙钛矿平板的发光发射与任意入射角的平板吸收率之间的广义基尔霍夫关系。在局部发射率中使用适当的横向光子态局部密度包括内部自发辐射的广义普朗克定律中的空腔效应，这在常规的Van Roosbroeck-Shockley形式主义中被忽略，并避免了由于非辐射能量转移而引起的杂散通过纵向模式。最后，对重吸收的一致处理提供了考虑光电器件仿真器中光子循环所需的局部二次光生速率，其中该光子再循环包括电荷传输效应。