Generalized Pulse-Spectrum Technique for Solving Inverse Problems in Microwave Heating
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GENERALIZED PULSE-SPECTRUM TECHNIQUE FOR SOLVING INVERSE PROBLEMS IN MICROWAVE HEATING
Y. M. CHEN* AND FRANKLIN F. Y. WANG" *Department of Applied Mathematics and Statistics, **Department of Materials Science and Engineering, SUNY at Stony Brook, Stony Brook, NY 11794.
ABSTRACT. The Generalized Pulse-Spectrum Technique (GPST), a versatile, efficient and stable Newton-like iterative numerical inversion algorithm with Tikhonov regularization. GPST has been been successfully applied to many practical inverse problems, including the inverse problems of equations of the diffusion type. Methodology in applying GPST for solving the inverse problems in microwave heating of ceramic samples is described.
INTRODUCTION. Under the external microwave excitation, the temperature distribution T(_,t) in a non-metallic, e.g., ceramic, and finite object nl is the solution of the initial-boundary value problem of a nonlinear diffusion problem,
V. [r.(_,t,T) VT] - cpp(_,t,T) aT/Ot + Qge,(;_,t,T) = 0, the initial condition, T(x,0) = Tr(_), and the boundary condition,
KcaT/9n = h(Ts
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T,) + s(cxT4
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_XE 12,
0
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