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Microwave-assisted chemical reactions have been widely used, but the mechanism is still unclear, which limits further applications.

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Microwave energy is widely used for heating, however, it usually causes nonuniformity temperatures. In this study, systematical mathematic derivations as well as the theory of electromagnetic wave propagation in a multimode cavity is used to demonstrate the mathematical physics basis of frequency‐selected microwave heating, moreover, the characteristics including the dependence of frequency selecting criteria and the shape of heated samples on heating performance are further analyzed. Finally, numerical computation based on finite element method is used to verify the correctness of the conclusions. This study can help us make better use of microwave energy.

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