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We establish a general mapping from one-dimensional non-Hermitian mosaicmodels to their non-mosaic counterparts. This mapping can give rise to mobilityedges and even Lyapunov exponents in the mosaic models if critical points oflocalization or Lyapunov exponents of localized states in the correspondingnon-mosaic models have already been analytically solved. To demonstrate thevalidity of this mapping, we apply it to two non-Hermitian localization models:an Aubry-Andr\'e-like model with nonreciprocal hopping and complexquasiperiodic potentials, and the Ganeshan-Pixley-Das Sarma model withnonreciprocal hopping. We successfully obtain the mobility edges and Lyapunovexponents in their mosaic models. This general mapping may catalyze furtherstudies on mobility edges, Lyapunov exponents, and other significant quantitiespertaining to localization in non-Hermitian mosaic models.

General mapping of one-dimensional non-Hermitian mosaic models to non-mosaic counterparts: Mobility edges and Lyapunov exponents