Inverse acoustic and electromagnetic scattering theory /
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| Author / Creator: | Colton, David L. |
|---|---|
| Imprint: | Berlin ; New York : Springer-Verlag, c1992. |
| Description: | x, 305 p. : ill. ; 24 cm. |
| Language: | English |
| Series: | Applied mathematical sciences ; v. 93 Applied mathematical sciences (Springer-Verlag New York Inc.) v. 93. |
| Subject: | Sound-waves -- Scattering Electromagnetic waves -- Scattering Inverse scattering transform Electromagnetic waves -- Scattering. Inverse scattering transform. Sound-waves -- Scattering. |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1392422 |
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| 050 | 0 | 0 | |a QA1 |b .A647 vol. 93 |a QC243.3.S3 |
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| 100 | 1 | |a Colton, David L. |0 http://id.loc.gov/authorities/names/n81146159 |1 http://viaf.org/viaf/14853385 | |
| 245 | 1 | 0 | |a Inverse acoustic and electromagnetic scattering theory / |c David Colton, Rainer Kress. |
| 260 | |a Berlin ; |a New York : |b Springer-Verlag, |c c1992. | ||
| 263 | |a 9207 | ||
| 300 | |a x, 305 p. : |b ill. ; |c 24 cm. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
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| 490 | 1 | |a Applied mathematical sciences ; |v v. 93 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |g 1. |t Introduction. |g 1.1. |t The Direct Scattering Problem. |g 1.2. |t The Inverse Scattering Problem -- |g 2. |t The Helmholtz Equation. |g 2.1. |t Acoustic Waves. |g 2.2. |t Green's Theorem and Formula. |g 2.3. |t Spherical Harmonics. |g 2.4. |t Spherical Bessel Functions. |g 2.5. |t The Far Field Mapping -- |g 3. |t Direct Acoustic Obstacle Scattering. |g 3.1. |t Single- and Double-Layer Potentials. |g 3.2. |t Scattering from a Sound-Soft Obstacle. |g 3.3. |t The Reciprocity Relation. |g 3.4. |t The Two-Dimensional Case. |g 3.5. |t On the Numerical Solution in R[superscript 2]. |g 3.6. |t On the Numerical Solution in R[superscript 3] -- |g 4. |t Ill-Posed Problems. |g 4.1. |t The Concept of Ill-Posedness. |g 4.2. |t Regularization Methods. |g 4.3. |t Singular Value Decomposition. |g 4.4. |t Tikhonov Regularization. |g 4.5. |t Nonlinear Operators -- |g 5. |t Inverse Acoustic Obstacle Scattering. |g 5.1. |t Uniqueness. |g 5.2. |t Physical Optics Approximation. |g 5.3. |t The Direct Approach to the Inverse Problem. |g 5.4. |t Approximation of the Scattered Field. |g 5.5. |t Superposition of the Incident Fields -- |g 6. |t The Maxwell Equations. |g 6.1. |t Electromagnetic Waves. |g 6.2. |t Green's Theorem and Formula. |g 6.3. |t Vector Potentials. |g 6.4. |t Scattering from a Perfect Conductor. |g 6.5. |t Vector Wave Functions. |g 6.6. |t The Reciprocity Relation -- |g 7. |t Inverse Electromagnetic Obstacle Scattering. |g 7.1. |t Uniqueness. |g 7.2. |t Continuous Dependence on the Boundary. |g 7.3. |t Approximation of the Scattered Field. |g 7.4. |t Superposition of the Incident Fields -- |g 8. |t Acoustic Waves in an Inhomogeneous Medium. |g 8.1. |t Physical Background. |g 8.2. |t The Lippmann-Schwinger Equation. |g 8.3. |t The Unique Continuation Principle. |g 8.4. |t Far Field Patterns. |g 8.5. |t The Analytic Fredholm Theory. |g 8.6. |t Transmission Eigenvalues. |g 8.7. |t Numerical Methods -- |g 9. |t Electromagnetic Waves in an Inhomogeneous Medium. |g 9.1. |t Physical Background. |g 9.2. |t Existence and Uniqueness. |g 9.3. |t Far Field Patterns. |g 9.4. |t The Spherically Stratified Dielectric Medium. |g 9.5. |t The Exterior Impedance Boundary Value Problem -- |g 10. |t The Inverse Medium Problem. |g 10.1. |t The Inverse Medium Problem for Acoustic Waves. |g 10.2. |t A Uniqueness Theorem. |g 10.3. |t A Dual Space Method. |g 10.4. |t A Modified Dual Space Method. |g 10.5. |t The Inverse Medium Problem for Electromagnetic Waves. |g 10.6. |t Numerical Examples. |
| 650 | 0 | |a Sound-waves |x Scattering |0 http://id.loc.gov/authorities/subjects/sh85125408 | |
| 650 | 0 | |a Electromagnetic waves |x Scattering |0 http://id.loc.gov/authorities/subjects/sh85042182 | |
| 650 | 0 | |a Inverse scattering transform |0 http://id.loc.gov/authorities/subjects/sh85067686 | |
| 650 | 7 | |a Electromagnetic waves |x Scattering. |2 fast |0 http://id.worldcat.org/fast/fst00906585 | |
| 650 | 7 | |a Inverse scattering transform. |2 fast |0 http://id.worldcat.org/fast/fst00978100 | |
| 650 | 7 | |a Sound-waves |x Scattering. |2 fast |0 http://id.worldcat.org/fast/fst01127088 | |
| 700 | 1 | 0 | |a Kress, Rainer, |d 1941- |0 http://id.loc.gov/authorities/names/n80122643 |1 http://viaf.org/viaf/109594934 |
| 830 | 0 | |a Applied mathematical sciences (Springer-Verlag New York Inc.) |v v. 93. |0 http://id.loc.gov/authorities/names/n42002591 | |
| 850 | |a ICU | ||
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| 928 | |t Library of Congress classification |a QC243.3.S3C6 1992 |l JCL |c JCL-Sci |i 5864621 | ||
| 927 | |t Library of Congress classification |a QC243.3.S3C6 1992 |l JCL |c JCL-Sci |e CRERAR |b 36761632 |i 2751938 | ||
