References
- Aki , K and Richards , PG . 1980 . Quantitative Seismology , San Francisco : W.H. Freeman and Company .
- Baker , GA Jr . 1975 . Essentials of Padé Approximants , New York : Academic Press, Inc. .
- Baker , GA Jr . 1977 . The Application of Padé Approximants to Critical Phenomena , Edited by: Saff , EB and Varga , RS . 323 New York : Academic Press, Inc. . appeared in Padé and rational approximation, Theory and Applications
- Innanen , KH . 2003 . Methods for the Treatment of Acoustic and Absorbtive/Dispersive Wavefield Measurements , Vancouver, , Canada : PhD Thesis Department of Earth and Ocean Sciences, University of British Columbia .
- Jost , R and Kohn , W . 1952 . Construction of a potential from a phaseshift . Physical Review , 87 : 977 – 992 .
- Markushevich , AI . 1977 . Theory of Functions of a Complex Variable, , 2nd Edn , New York, NY : Chelsea Publishing Company .
- Matson , KH . 1996 . The relationship between scattering theory and the primaries and multiples of reflection seismic data . Journal of Seismic Exploration , 5 : 63 – 78 .
- Matson , KH . 1997 . An Inverse Scattering Series Method for Attenuating Elastic Multiples from Multicomponent Land and Ocean Bottom Seismic Data , Canada : University of British Columbia . PhD Thesis
- Mery , P . 1977 . A variational approach to operator and matrix Padé approximants. Applications to potential scattering and field theory , Edited by: Saff , EB and Varga , RS . 375 New York : Academic Press, Inc. . appeared in Padé and rational approximation, Theory and Applications
- Morse , PM and Feschbach , H . 1953 . Methods of Theoretical Physics , New York : McGraw-Hill .
- Moses , HE . 1956 . The calculation of the scattering potential from reflection coefficients . Physical Review , 102 : 559 – 567 .
- Nita , BG , Matson , KH and Weglein , AB . 2004 . Forward scattering series and seismic events: far field approximations, critical and post-critical events . SIAM Journal of Applied Mathematics , 64 ( 6 ) : 2167 – 2185 .
- Nuttal , J . 1977 . “ The convergence of Padé approximants to functions with branch points, appeared in Padé and rational approximation ” . In Theory and Applications , Edited by: Saff , EB and Varga , RS . 101 New York : Academic Press, Inc. .
- Prosser , RT . 1980 . The formal solutions of inverse scattering problems III . Journal of Mathematical and Physical Sciences , 21 : 2648 – 2653 .
- Weglein , AB . 1985 . “ The inverse scattering concept and its seismic application ” . In Developments in Geophysical Exploration Methods , Vol. 6 , 111 – 138 . Barking : Esevier Ltd .
- Weglein , AB , Gasparotto , FA , Carvalho , PM and Stolt , RH . 1997 . An inverse scattering series method for attenuating multiples in seismic reflection data . Geophysics , 62 : 1975 – 1989 .
- Weglein , AB , Araujo , FV , Carvalho , PM , Stolt , RH , Matson , KH , Coates , R , Corrigan , D , Foster , DJ , Shaw , SA and Zhang , H . 2003 . Inverse scattering series and seismic exploration . Topical Review Inverse Problems , 19 : R27 – R83 .