  Simultaneously manipulating multiple physical fields plays an important role
in the increasingly complex integrated systems, aerospace equipment,
biochemical productions, etc. For on-chip systems with high integration level
(e.g., electronic/photonic chips and radio-frequency/microwave circuits), where
both electromagnetic information/energy transporting and heat
dissipation/recovery need to be considered, the precise and efficient control
of the propagation of electromagnetic waves and heat fluxes simultaneously is
particularly important. In this study, we propose a graphical designing method
based on thermal-electromagnetic null medium to simultaneously control the
propagation of electromagnetic waves and thermal fields according to the
pre-designed paths. A thermal-electromagnetic cloak, which can create a
cloaking effect on both electromagnetic waves and thermal fields
simultaneously, is designed by thermal-electromagnetic surface transformation
and verified by both numerical simulations and experimental measurements. The
thermal-electromagnetic surface transformation proposed in this study provides
a new methodology for simultaneous controlling on electromagnetic and
temperature fields, which can be used to realize a series of novel
thermal-electromagnetic devices such as thermal-electromagnetic shifter,
splitter, bender, multiplexer and mode converter. The designed
thermal-electromagnetic cloak opens up new ways to create a concealed region
where any object within it does not create any disturbance to the external
electromagnetic waves and temperature fields simultaneously, which may have
significant applications in improving thermal-electromagnetic compatibility
problem, protecting of thermal-electromagnetic sensitive components, and
improving efficiency of energy usage for complex on-chip systems.
