摘要A new hybrid inversion method for depth profiling reconstruction of thermal conductivities of inhomogeneous solids is proposed based on multilayer quadrupole formalism of thermal waves, particle swarm optimization and sequential quadratic programming. The reconstruction simulations for several thermal conductivity profiles are performed to evaluate the applicability of the method. The numerical simulations demonstrate that the precision and insensitivity to noise of the inversion method are very satisfactory.
Abstract:A new hybrid inversion method for depth profiling reconstruction of thermal conductivities of inhomogeneous solids is proposed based on multilayer quadrupole formalism of thermal waves, particle swarm optimization and sequential quadratic programming. The reconstruction simulations for several thermal conductivity profiles are performed to evaluate the applicability of the method. The numerical simulations demonstrate that the precision and insensitivity to noise of the inversion method are very satisfactory.
[1] Lan T T N and Walther H G 1996 J. Appl. Phys. 80 5289 [2] Mandelis A, Funak F et al 1996 J. Appl. Phys. 80 5570 [3] Xu M H et al 1998 J. Appl. Phys. 84 675 [4] Glorieux C et al 1999 J. Appl. Phys. 85 7059 [5] Voti R L et al 2003 Int. J. Thermophys. 26 1833 [6] Zhang B X et al 2004 Chin. Phys. Lett. 21 682 [7] Bai S Y et al 2008 Chin. Phys. Lett. 25 593 [8] Shaw R and Srivastava S 2007 Geophysics 72 F75 [9] Li Y, Yao D et al 2005 Phys. Med. Biol. 50 3491 [10] Nocedal J and Wright S 2000 Numerical Optimization (New York: Springer) [11] Fivez J and Thoen J 1994 J. Appl. Phys. 75 7696 [12] Grossel P et al 1998 J. Phys. D. Appl. Phys. 31 216 [13] Boz\'oki Z et al 1994 J. Phys. IV France 4 C7-579 [14] Krapez J 2000 J. Appl. Phys. 87 4514 [15] Salazar A and Celorrio R 2006 J. Appl. Phys. 100 113535 [16] Aster R, Borchers B and Thurber C 2005 Parameter Estimation and Inverse Problems (San Diego: Academic) [17] Li Voti R et al 2003 Rev. Sci. Instrum. 74 372 [18] Emad A et al 2009 Prog. Electromagn. Res. M 9 93