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Transformation media provide a fundamental paradigm for field regulation, buttheir tricky anisotropy challenges fabrication. Though optical conformalmapping has been utilized to eliminate anisotropy, two key factors still hinderits development in thermotics, i.e., the distinct diffusion nature andinevitable interface mismatching. Here, we put forth the concept of diffusivepseudo-conformal mapping, overcoming the inherent difference between diffusionand waves and achieving perfect interface matching. The proposed mappingdirectly leads to heat guiding and expanding functions with anisotropy-freetransformation thermal media, whose feasibility is confirmed by experiments orsimulations. Besides diverse applications, we provide a unified perspective fortwo distinct types of prevailing bilayer cloaks by uncovering their profoundties with pseudo-conformal mapping. These results greatly simplify thepreparation of transformation thermotics and have implications for regulatingother diffusion and wave phenomena.

Diffusive Pseudo-Conformal Mapping: Anisotropy-Free Transformation Thermal Media with Perfect Interface Matching