PUBLICATIONS OF MARGARET CHENEY
A. In refereed journals.
"Two-Dimensional Scattering: The Number of Bound States from Scattering
Data," J. Math. Phys. 25, 1449-1455 (1984).
"Inverse Scattering in Dimension Two," J. Math. Phys. 25, 94-017 (1984).
"Velocity and Density of a Two-Dimensional Acoustic Medium from Point
Source Surface Data:, with S. Coen and A. Weglein, J. Math. Phys. 25,
1857-1861 (1984).
"The Connection between Time-and Frequency-Domain Three-Dimensional Inverse
Scattering Methods," with J. H. Rose and B. DeFacio, J. Math Phys.25,
2995-3000 (1984).
"A Rigorous Derivation of the 'Miracle' of Three-Dimensional Inverse
Scattering Theory," J. Math. Phys. 25, 2988-2990 (1984).
"Two-Dimensional Inverse Scattering: Compactness of the Generalized
Marchenko Operator," J. Math. Phys. 26, 743-752 (1985).
"Three-Dimensional Inverse Scattering: High-Frequency Analysis of Newton's
Marchenko Equation," with J.H. Rose, J. Math. Phys. 26, 436-439 (1985).
"Physical Basis of Three-Dimensional Inverse Scattering for the Plasma Wave
Equation," with J.H. Rose and B. DeFacio, J. Optical Soc. of America, A, 2,
1954-1957 (1985).
"Three-Dimensional Inverse Scattering: Plasma and Variable Velocity Wave
Equations," with J. H. Rose and B. DeFacio, J. Math. Phys. 26, 2803-2813
(1985).
"Determination of the Wave Field from Scattering Data," with J.H. Rose and
B. DeFacio, Phys. Rev. Lett., 57, 783-786 (1986).
"Three-Dimensional Inverse Scattering," with J.H. Rose and B. DeFacio,
in Differential Equations and Mathematical Physics, ed. I.W. Knowles
and Y. Saito, Springer Lecture Notes in Mathematics #1285 (New York,
1987) p. 46-54.
"Three-Dimensional Inverse Scattering for the Wave Equation: Weak
Scattering Approximations with Error Estimates," with J.H. Rose,
Inverse Problems, 4, 435-447 (1988).
"Self-Consistent Equations for Variable Velocity Three-Dimensional
Inverse Scattering," with J.H. Rose, Phys, Rev. Lett. 59, 954-957
(1987).
"A Fundamental Integral Equation of Scattering Theory," with J.H. Rose
and B. DeFacio, SIAM J. Math. Anal. 19, 1090-1102 (1988).
"Three-Dimensional Inverse Scattering: Layer-Stripping Formulas and
Ill-Posedness Results," with G. Kristensson, Inverse Problems, 4,
625-642 (1988).
"Generalized Eigenfunction Expansions for Scattering in Inhomogeneous
Three-Dimensional Media," with J.H. Rose, J. Math. Phys. 29,
1347-1355 (1988).
"Generalization of the Fourier Transform: Implications for Inverse
Scattering Theory," with J.H. Rose, Phys. Rev. Lett., 60, 1221-1224 (1988).
"Three-Dimensional Inverse Scattering for the Wave Equation with
Variable Speed: Near-Field Formulas Using Point Sources," with E.
Somersalo, G. Beylkin, and R. Burridge, Inverse Problems, 5, 1-6
(1989).
"A New Integral Equation of Scattering Theory and Its Use in Inverse
Scattering," with J.H. Rose and B. DeFacio, Wave Motion, 11, 175-184
(1989).
"Stability Analysis of the Yagle-Levy Multidimensional Inverse
Scattering Algorithm," J. Math. Phys., 31, 2141-2144 (1990).
"Effects of Measurement Precision and Finite Numbers of Electrodes on
Linear Impedance Imaging Algorithms," with D. Isaacson, in SIAM J.
Appl. Math. 51, 1705-1731 (1991).
"Exact Solutions to a Linearized Inverse Boundary Value Problem," with D.
Isaacson, and E.L. Isaacson, Inverse Problems, 6, 923-934 (1990).
"A Linearized Inverse Boundary-Value Problem for Maxwell's Equations,"
with D. Isaacson and E. Somersalo, J. Comp. and Appl. Math. 42,
123-136 (1992).
"Estimates for Wave Propagation in Inhomogeneous Acoustic Media," with
E. Somersalo, J. Math. Anal. and Appl., 2, 410-429 (1991).
"Existence and Uniqueness for Electrode Models for Electric Current
Computed Tomography," with D. Isaacson and E. Somersalo,
SIAM J. Appl. Math., 52, 1023-1040 (1992).
"NOSER: An Algorithm for Solving the Inverse Conductivity Problem,"
with D. Isaacson, J. Newell, S. Simske, and J. Goble, Internat. J.
Imaging Systems and Technol. 2, 66-75 (1990).
"Detection and Imaging of Electric Conductivity and Permittivity at
Low Frequency," with L.F. Fuks, D. Isaacson, D.G. Gisser, and J.C.
Newell, Trans. Biomed. Engr., 38, 1106-1110, (1991).
"Invariant Imbedding, Layer-Stripping, and Impedance Imaging," with D.
Isaacson, Inverse Problems and Invariant Imbedding, ed. J. Corones,
G. Kristensson, P. Nelson, and D. Seth (SIAM, Philadelphia, 1991).
"Distinguishibility in Impedance Imaging," with D. Isaacson,
IEEE Trans. Biomed. Engr., 39, 852-860 (1991).
"Layer Stripping: A Direct Numerical Method for Impedance Imaging,"
with E. Somersalo, D. Isaacson, and E.L. Isaacson, Inverse Problems,
7, 899-926 (1991).
"An Overview of Inversion Algorithms for Impedance Imaging," with D.
Isaacson,in Inverse Scattering and Applications, ed. D.H. Sattinger,
C.A. Tracy, and S. Venakides (AMS, Providence, 1991)
"Electrical Impedance Tomography in Three Dimensions", with J.C. Goble
and D. Isaacson, Applied Computational Electromagnetics
Soc. Journal,7, 128-147 (1992).
"Comments on reconstruction algorithms", with D. Isaacson and J.C. Newell,
Clin. Phys. Physiol. Meas., 13 83-39 (1992).
"Electrical Impedance Imaging", with J.C. Newell, G.J. Saulnier, P.M
Edic, D. Isaacson, D.G. Gisser, and R.D. Cook, BMES Bulletin 17, 19-23
(1993).
"Inverse Problems for a Perturbed Dissipative Half-Space", with D.
Isaacson, Inverse Problems, 11, 865-888 (1995).
"Models for an Anesthesia Breathing System", with P. Bigeleisen,
Automedica 18, 211-244 (2000).
"Recovery of surface parameters from stepped-frequenty radar returns",
M. Cheney, D. Isaacson, V.I. Lytle, and S.F. Ackley,
Mathematics and Computers in Simulation 50 (1999) 527-539.
"Uniqueness for a wave propagation inverse problem in a half space",
M. Lassas, M. Cheney, and G. Uhlmann, Inverse Problems 14, 679-684 (1998).
"Electrical Impedance Tomography", M. Cheney, D. Isaacson and J.C. Newell,
SIAM Review, 40, 85-101 (1999).
"Forward Electromagnetic Scattering Models for Sea Ice", K.M. Golden,
M. Cheney, K.H. Ding, A.K. Fung, T.C. Grenfell, D. Isaacson, J.A. Kong,
S.V. Nghiem, J. Sylvester, and D.P. Winebrenner, IEEE
Trans. Geoscience and Remote Sensing 36, 1655-1674 (1998).
"Inverse electromagnetic scattering models for sea ice", K.M. Golden,
D. Borup, M. Cheney, E. Cherkaeva, M.S. Dawson, K.H. Ding, A.K. Fung,
D. Isaacson, S.A. Johnson, A.K. Jordan, J.A. Kong, R. Kwok, S.V. Nghiem,
R.G. Onstott, J. Sylvester, D.P. Winebrenner, and I.H.H. Zabel,
IEEE Trans. Geoscience and Remote Sensing 36, 1675-1704 (1998).
"Optimal Acoustic Measurements", M. Cheney, D. Isaacson, and M. Lassas,
to appear in SIAM J. Appl. Math.
"A mathematical tutorial on Synthetic Aperture Radar", SIAM
Review 43 (2001) 301-312.
B. Reports, Conference Proceedings, and Popular Articles
"QUENCH-A Code for the Calculation of Travelling Wave Solutions of a
Quench Front Problem," with J.E. Dendy, Los Alamos Scientific Lab
Report LA-UR-79- 2150, 1979.
"An Improved Scheme to Develop Multidimensional Generalized Yield and
Failure Surfaces for Structural Elements," with T.A. Duffey, in
Mechanics of Structured Media, ed. A.P.S. Selvadurai, 1981. An
expanded version is in Los Alamos Scientific Lab. Report LA-8728-MS,
1981.
"Inversion of the 2.5-D Acoustic Equation," in Conference on Inverse
Scattering: Theory and Application, ed. J.B. Bednar, R. Redner, E.
Robinson, A. Weglein (SIAM, Philadelphia, 1983).
"Velocity and Density of a Two-Dimensional Acoustic Medium from Point
Source Surface Data," Review of Progress in Quantitative
Non-Destructive Evaluation, 4, ed. D.O. Thompson and D.E. Chimenti
(Plenum, New York, 1984).
"Three Dimensional Inverse Scattering for the Classical Wave Equation
with Variable Speed," Review of Progress in Quantitative
Non-Destructive Evaluation, 5A, ed. D.O. Thompson and D.E. Chimenti
(Plenum, New York, 1985).
"Three Dimensional Inverse Scattering," with J.H. Rose and B. DeFacio,
in Inverse Problems, ed. J.R. Cannon and U. Hornung (Birkhauser,
Boston, 1986).
"Multidimensional Inversion," in Mathematical and Computational
Methods in Seismic Exploration and Reservoir Modeling, ed. W.E.
Fitzgibbon (SIAM,Philadelphia, 1986).
"Three-Dimensional Inverse Scattering for the Schrodinger Equation:
Connections between Exact Formulas and Approximate Methods," with E.
Somersalo, G. Beylkin, and R. Burridge, IMA Preprint series #449,
Institute for Mathematics and Its Applications, University of
Minnesota. 1988.
"A Review of Multidimensional Inverse Potential Scattering," in
Inverse Problems in Partial Differential Equations, ed. D. Colton, R.
Ewing, W. Rundell (SIAM, Philadelphia, 1990).
"Current Problems in Impedance Imaging," with D. Isaacson, Inverse
Problems in Partial Differential Equations, ed. D. Colton, R. Ewing,
and W. Rundell (SIAM, Philadelphia, 1990).
"Mathematical Aspects of Impedance Imaging, with Emphasis on Linear
Reconstruction Algorithms," with D. Isaacson, Digital Image Synthesis
and Inverse Optics, 1351, 2-8, (1990).
"Power Considerations in Impedance Imaging," with D. Isaacson, J.
Newell, and D. Gisser, IEEE Engr. in Medicine and Biology 12th Annual
Conference, Philadelphia, 1990.
"Thoracic Impedance Images During Ventilation," with D. Isaacson, J.
Newell, D. Gisser, and J. Goble, IEEE Engr. in Medicine and Biology
12th Annual Conference, Philadelphia 1990.
"Electric Current Computed Tomography," with D. Isaacson, J.C. Newell,
D.G. Gisser, and J.C. Goble, in 7th Annual Review of Progress in
Applied Computational Electromagnetics, Naval Postgraduate School,
Monterey, 1991.
"An Inverse Boundary Value Problem for Maxwell's Equations," with D.
Isaacson and E. Somersalo, in 7th Annual Review of Progress in Applied
Computational Electromagnetics, Naval Postgraduate School, Monterey,
1991.
"A Layer-Stripping Approach to Impedance Imaging," with D. Isaacson,
E. Somersalo, and E.L. Isaacson, in 7th Annual Review of Progress in
Applied Computational Electromagnetics, Naval Postgraduate School,
Monterey, 1991.
"A Layer-Stripping Reconstruction Algorithm for Impedance Imaging,"
with D. Isaacson, E. Somersalo, E.L. Isaacson, and E.J. Coffey,
IEEE-EMBS, 13, 1991.
"Comments on Reconstruction Algorithms," with D. Isaacson and J. C.
Newell, in Proceedings of Concerted Action on Impedance Tomography,
York, England, July 1991.
"Layer-stripping reconstruction algorithm for impedance imaging",
with D. Isaacson, E.J. Somersalo, and E.L. Isaacson, Proceedings of the
Annual International Conference of the IEEE Engineering in Medicine and
Biology Society, 14, 1694-1695 (1993).
"Impedance images of the chest", with J.C. Newell, D. Isaacson,
G.J. Saulnier, D.G. Gisser, J.C. Goble, R.D. Cook, and P.M. Edic,
Proceedings of the Annual International Conference of the IEEE
Engineering in Medicine and Biology Society, 14, 1752-1753 (1993).
"Impedance imaging using interior and exterior measurements", with
C. Caldwell and D. Isaacson, in Physiological Imaging, Spectroscopy,
and Early-Detection Diagnostic Methods, ed. R.L. Barbour and M.J. Carvlin,
SPIE Proceedings series vol. 1887, 1993.
"Imaging the interior of the body with electric fields", with D.
Isaacson, in Physiological Imaging, Spectroscopy, and Early-Detection
Diagnostic Methods, ed. R.L. Barbour and M.J. Carvlin, SPIE
Proceedings series vol. 1887, 1993.
"Acute pulmonary edema assesed by electrical impedance imaging",
with J.C. Newell, D. Isaacson, G.J. Saulnier, and D.G. Gisser,
Proc. IEEE-EMBS Conf. 14, 92-93 (1993).
"Implementation of a real-time electric impedance tomograph",
with P.M. Edic, G.J. Saulnier, D. Isaacson, J.C. Newell, D.G. Gisser
and R.D. Cook, Proc. IEEE-EMBS Conf. 15, 84-85 (1993).
"Real-time adaptive current tomography", with J.C. Newell, P.M. Edic,
G.J. Saulnier, D. Isaacson, and D.G. Gisser, Electrical Impedance
Tomography Workshop, Barcelona, September 1993.
"In Vivo Impedance Images using Sinusoidal
Current Patterns", with J.C. Newell, D. Isaacson, G.J. Saunier,
D.G. Gisser, J.C. Goble, R.D. Cook, P.M. Edic, C.A. Newton, in
Clinical and Physiological applications of electrical
impedance tomography, ed. D. Holder, UCL Press, London, 1993.
"Problems in impedance imaging", with D. Isaacson and J.C. Newell,
in Inverse Problems in Mathematical Physics, ed. L. Paivarinta and E.
Somersalo, Lecture Notes in Physics No. 422, Springer, New York, 1993.
"Layer-stripping reconstruction algorithms in impedance imaging",
with D. Isaacson and E. Somersalo, in Inverse Problems in Mathematical
Physics, ed. L. Paivarinta and E. Somersalo, Lecture Notes in Physics No.
422, Springer, New York, 1993.
"An introduction to inverse problems", in Mathematics of Computation
1943-1993, ed. W. Gautschi, Am. Math. Soc. series Proceedings of Symposia
in Applied Mathematics, 1994.
Co-editor, with T. Quinto and P. Kuchment, of Proceedings of the
1993 AMS-SIAM Summer Seminar on the Mathematics of Tomography, Impedance
Imaging, and Integral Geometry, AMS Lectures in Applied Mathematics series,
1995.
"Electromagnetic inverse problems for sea ice", with D. Isaacson,
report for ONR sea ice project, 1996.
"Issues in Electrical Impedance Imaging", with D. Isaacson, IEEE
Computational Science and Engineering, 2, 53-62 (1995).
"Inverse boundary-value problems", American Scientist 85 (1997) 448-455.
"An asymptotic wave interpretation of sonar reflections from a
rough surface", M. Cheney and N. Bleistein, in Analytical and
Computational Methods in Scattering and Applied Mathematics, F.
Santosa and I. Stakgold, eds., Chapman & Hall/CRC Research Notes
in Mathematics No. 417 (2000).
"The Linear Sampling Method and the MUSIC Algorithm", to appear in
special issue of Inverse Problems dedicated to Pierre Sabatier.
"Tomography prolems arising in Synthetic Aperture Radar", to appear in
the Proceedings of the 2000 AMS/IMS/SIAM conference on
Radon transforms and tomography.
C. Patents
"A Layer-Stripping Process for Impedance Imaging," with D. Isaacson,
E.L. Isaacson, and E.J. Somersalo, number 5,390,110, February 14, 1995.
"Three-dimensional Impedance Imaging Processes," with J.C. Goble and
D. Isaacson, number 5,284,142, February 8, 1994.
"Three-dimensional Impedance Imaging Processes", continuation-in-part
application, with D. Isaacson, number 5,351,697, October 4, 1994.
"Process for Producing Optimal Current Patterns for Electrical Impedance
Tomography", with D. Isaacson, 5,588,429, December 31, 1996.