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              <p>The present study is dedicated to the estimation of internal temperatures within a foodstuff during microwave tempering, in presence of unknown dielectric properties. The solution consists in a software sensor based on a model issued from the closed form solutions of Maxwell's equations coupled with the conduction heat equation solved by finite differences. The algorithm implemented permits to converge towards acceptable dielectric properties functions whereas the temperature field is estimated simultaneously. This approach is carried out in simulation by considering the tempering of a block of raw beef located in a rectangular wave guide allowing to consider a fundamental mode with perfectly known electromagnetic conditions.</p>
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