000 02569cam a2200277 i 4500
001 17102763
005 20141218144619.0
008 120103s2012 xxka frb f001 0 eng d
010 _a2012000073
020 _a9780521119740 (hardback)
040 _aDLC
_beng
_cDLC
_dDLC
_dEG-ScBUE
082 0 0 _a515.357
_222
_bDEV
100 1 _aDevaney, Anthony J.
_936988
245 1 0 _aMathematical foundations of imaging, tomography and wavefield inversion /
_cAnthony J. Devaney.
260 _aCambridge, United Kingdom ;
_aNew York, United States :
_bCambridge University Press,
_c2012.
300 _axvii, 518 p. :
_bill. ;
_c26 cm.
500 _aIndex : p. 515-518.
504 _aBibliography : p. 505-514.
505 8 _aMachine generated contents note : 1. Radiation and initial value problems for the wave equation ; 2. Radiation and boundary-value problems in the frequency domain ; 3. Eigenfunction expansions of solutions to the Helmholtz equation ; 4. Angular-spectrum and multipole expansions ; 5. The inverse source problem ; 6. Scattering theory ; 7. Surface scattering and diffraction ; 8. Classical inverse scattering and diffraction tomography; 9. Waves in inhomogeneous media; 10. Time-reversal imaging for systems of discrete scatterers ; 11. The electromagnetic field.
520 _a"Inverse problems are of interest and importance across many branches of physics, mathematics, engineering and medical imaging. In this text, the foundations of imaging and wavefield inversion are presented in a clear and systematic way. The necessary theory is gradually developed throughout the book, progressing from simple wave equation based models to vector wave models. By combining theory with numerous MATLAB based examples, the author promotes a complete understanding of the material and establishes a basis for real world applications. Key topics of discussion include the derivation of solutions to the inhomogeneous and homogeneous Helmholtz equations using Green function techniques; the propagation and scattering of waves in homogeneous and inhomogeneous backgrounds; and the concept of field time reversal. Bridging the gap between mathematics and physics, this multidisciplinary book will appeal to graduate students and researchers alike. Additional resources including MATLAB codes and solutions are available online at www.cambridge.org/9780521119740"-
650 0 _aWave equation
_936989
650 0 _aInverse problems (Differential equations)
_936947
653 _bENGELC
_cDecember2014
655 _vreading book
_934232
942 _2ddc
_k515.357 DEV
999 _c18800
_d18772