000 02911nam a22003498i 4500
001 CR9781139047838
003 UkCbUP
005 20200124160252.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 110304s2012||||enk o ||1 0|eng|d
020 _a9781139047838 (ebook)
020 _z9780521119740 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC174.26.W28
_bD382 2012
082 0 0 _a515/.357
_223
100 1 _aDevaney, Anthony J.,
_eauthor.
245 1 0 _aMathematical foundations of imaging, tomography and wavefield inversion /
_cAnthony J. Devaney, Northeastern University, Boston.
246 3 _aMathematical Foundations of Imaging, Tomography & Wavefield Inversion
264 1 _aCambridge :
_bCambridge University Press,
_c2012.
300 _a1 online resource (xvii, 518 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
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 _aInverse 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.
650 0 _aInverse problems (Differential equations)
776 0 8 _iPrint version:
_z9780521119740
856 4 0 _uhttps://doi.org/10.1017/CBO9781139047838
999 _c519665
_d519663