Information about temperature distribution is complex but of critical importance for the control of various microwave applications.\nIn this paper, an innovative way of temperature distribution monitoring using ultrasonic the rmometry in microwave field is\ninvestigated.Theprinciple of ultrasonic the rmometry in the situation of ideal gas is elaborated, and reconstruction algorithm based\non Markov radial basis function approximation and singular values decomposition is presented and described in detail. In order to\nvalidate the performance of temperature distribution reconstruction of our presented algorithm, four two-dimensional temperature\ndistribution models with different complexities are utilized in simulation experiments. Especially, simulation experiments taking\nerror of measurement into account are studied to verify the robustness. Figure profiles show remarkable correspondence between\nthe reconstructed ones and their models, while quantitative analysis, including the overall temperature error analysis and the\nhotspot positioning analysis, shows that different kinds of errors calculated are all within the limit ranges. In addition, the time\nanalysis of simulation experiments also demonstrates its well real-time capability.
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