Abstract
Wave propagation issues in medicine and environmental health are discussed. The need for advances in direct scattering, inverse scattering and electromagnetic localization methods is outlined and applications are sketched that appear interesting and important. Examples of frequency domain inversion are presented and issues concerning uniqueness of inversion are addressed.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.A. Stratton, Electromagnetic Theory, McGraw-Hill, Inc., New York, 1941, p. 321.
M.C. Mackey, Ion Transport Through Biological Membranes, Springer-Verlag, New York, 1975.
H.M. Nussenzveig, Causality and Dispersion Relations, Academic Press, New York, 1972.
K.E. Oughstun, J.E.K. Laurens, C.M. Balictsis, Asymptotic Description of Electromagnetic Pulse Propagation in a Linear Dispersive Medium, in Ultrawideband Short Pulse Electromagnetics, edited by H. Bertoni et al., Plenum Press, 1993, pp.223–240.
K.E. Oughstun, G.C. Sherman, Electromagnetic Pulse Propagation in Causal Dielectrics, Springer-Verlag, New York, 1994.
R. Albanese, J. Penn, R. Medina, Short-rise-time Microwave Pulse Propagation through Dispersive Biological Media, Journal of the Optical Society of America A, Vol. 6, No. 9, September 1989, pp. 1441–1446.
J. Blaschak, J. Franzen, Precursor Propagation in Dispersive Media from Short-Rise-Time Pulses at Oblique Incidence, Journal of the Optical Society of America A, Vol. 12, No. 7, July 1995, pp. 1501–1512.
J.E. Lagnese, Exact Boundary Controllability of Maxwell’s Equations in a General Region, SIAM J Control and Optimization, Vol 27, No 2, March 1989, pp. 374–388.
H.T. Banks, K. Ito, Y. Wang, Well Posedness for Damped Second Order Systems with Unbounded Input Operators, Center for Research in Scientific Computation, North Carolina State University, CRSC-TR93-10.
G. Duvaut, J.L. Lions, Inequalities in Mechanics and Physics, Springer-Verlag, New York, 1976.
G.M. Hahn, Hyperthermia for the Engineer: A Short Biological Primer, IEEE Transactions on Biomedical Engineering, Vol BME-31, No.1, January 1984, pp. 3–8.
C.A.L. Bassett, Fundamental and practical aspects of therapeutic use of pulsed electromagnetic fields, Critical Reviews in Biomedical Engineering, Vol 17, 1989, pp. 451–529.
A.H. Frey editor, On the Nature of Electromagnetic Field Interactions with Biological Systems, R.G.Landes Company, Austin, 1994.
R.A. Albanese, J. Blaschak, R.L. Medina, J.W. Penn, Ultrashort Electromagnetic Signals: Biophysical Questions, Safety Issues, and Medical Opportunities. Aviat. Space Environ. Med. 1994; Vol 65 (5, Suppl.):A116–20.
R.A. Albanese, R.L. Medina, J.W. Penn, Mathematics, Medicine and Microwaves. Inverse Problems, 1994, Vol 10, pp. 995–1007.
R.A. Albanese, J.W. Penn, R.L. Medina, An Electromagnetic Inverse Problem in Medical Science, in Invariant Imbedding and Inverse Problems, edited by J.P. Corones et al., Society for Industrial and Applied Mathematics, Philadelphia, 1992.
H. Schwerdtfeger, Geometry of Complex Numbers, Dover Publications, New York, 1979.
K. Knopp, Elements of the Theory of Functions, Dover Publications, New York, 1952.
J.D. Jackson, Classical Electrodynamics, John Wiley & Sons, New York, 1975.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this paper
Cite this paper
Albanese, R.A. (1997). Wave Propagation Inverse Problems in Medicine and Environmental Health. In: Chavent, G., Sacks, P., Papanicolaou, G., Symes, W.W. (eds) Inverse Problems in Wave Propagation. The IMA Volumes in Mathematics and its Applications, vol 90. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1878-4_1
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1878-4_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7322-6
Online ISBN: 978-1-4612-1878-4
eBook Packages: Springer Book Archive