Wave scattering by time-dependent perturbations :: an introduction /
This book offers the first comprehensive introduction to wave scattering in nonstationary materials. G.F. Roach's aim is to provide an accessible, self-contained resource for newcomers to this important field of research that has applications across a broad range of areas, including radar, sona...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J. :
Princeton University Press,
©2007.
|
| Schriftenreihe: | Princeton series in applied mathematics.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book offers the first comprehensive introduction to wave scattering in nonstationary materials. G.F. Roach's aim is to provide an accessible, self-contained resource for newcomers to this important field of research that has applications across a broad range of areas, including radar, sonar, diagnostics in engineering and manufacturing, geophysical prospecting, and ultrasonic medicine such as sonograms. New methods in recent years have been developed to assess the structure and properties of materials and surfaces. When light, sound, or some other wave energy is directed at the material. |
| Beschreibung: | 1 online resource (x, 287 pages) |
| Bibliographie: | Includes bibliographical references (pages 275-283) and index. |
| ISBN: | 9781400828166 1400828163 1282158783 9781282158788 9786612158780 6612158786 |
Internformat
MARC
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| 049 | |a MAIN | ||
| 100 | 1 | |a Roach, G. F. |q (Gary Francis) |1 https://id.oclc.org/worldcat/entity/E39PBJv8KjT7QDkWFY88bMQyVC |0 http://id.loc.gov/authorities/names/n81052545 | |
| 245 | 1 | 0 | |a Wave scattering by time-dependent perturbations : |b an introduction / |c G.F. Roach. |
| 260 | |a Princeton, N.J. : |b Princeton University Press, |c ©2007. | ||
| 300 | |a 1 online resource (x, 287 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Princeton series in applied mathematics | |
| 504 | |a Includes bibliographical references (pages 275-283) and index. | ||
| 505 | 0 | |a Introduction and outline of contents -- Some aspects of waves on strings -- Mathematical preliminaries -- Spectral theory and spectral decompositions -- On nonautonomous problems -- On scattering theory strategies -- Echo analysis -- Wave scattering from time-periodic perturbations -- Concerning inverse problems -- Some remarks on scattering in other wave systems -- Commentaries and appendices. | |
| 520 | |a This book offers the first comprehensive introduction to wave scattering in nonstationary materials. G.F. Roach's aim is to provide an accessible, self-contained resource for newcomers to this important field of research that has applications across a broad range of areas, including radar, sonar, diagnostics in engineering and manufacturing, geophysical prospecting, and ultrasonic medicine such as sonograms. New methods in recent years have been developed to assess the structure and properties of materials and surfaces. When light, sound, or some other wave energy is directed at the material. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a In English. | ||
| 650 | 0 | |a Waves |x Mathematics. | |
| 650 | 0 | |a Scattering (Physics) |x Mathematics. | |
| 650 | 0 | |a Perturbation (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85100181 | |
| 650 | 6 | |a Ondes |x Mathématiques. | |
| 650 | 6 | |a Diffusion (Physique nucléaire) |x Mathématiques. | |
| 650 | 6 | |a Perturbation (Mathématiques) | |
| 650 | 7 | |a SCIENCE |x Waves & Wave Mechanics. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x Mathematical & Computational. |2 bisacsh | |
| 650 | 7 | |a Perturbation (Mathematics) |2 fast | |
| 650 | 7 | |a Scattering (Physics) |x Mathematics |2 fast | |
| 650 | 7 | |a Waves |x Mathematics |2 fast | |
| 653 | |a Acoustic wave equation. | ||
| 653 | |a Acoustic wave. | ||
| 653 | |a Affine space. | ||
| 653 | |a Angular frequency. | ||
| 653 | |a Approximation. | ||
| 653 | |a Asymptotic analysis. | ||
| 653 | |a Asymptotic expansion. | ||
| 653 | |a Banach space. | ||
| 653 | |a Basis (linear algebra). | ||
| 653 | |a Bessel's inequality. | ||
| 653 | |a Boundary value problem. | ||
| 653 | |a Bounded operator. | ||
| 653 | |a C0-semigroup. | ||
| 653 | |a Calculation. | ||
| 653 | |a Characteristic function (probability theory). | ||
| 653 | |a Classical physics. | ||
| 653 | |a Codimension. | ||
| 653 | |a Coefficient. | ||
| 653 | |a Continuous function (set theory). | ||
| 653 | |a Continuous function. | ||
| 653 | |a Continuous spectrum. | ||
| 653 | |a Convolution. | ||
| 653 | |a Differentiable function. | ||
| 653 | |a Differential equation. | ||
| 653 | |a Dimension (vector space). | ||
| 653 | |a Dimension. | ||
| 653 | |a Dimensional analysis. | ||
| 653 | |a Dirac delta function. | ||
| 653 | |a Dirichlet problem. | ||
| 653 | |a Distribution (mathematics). | ||
| 653 | |a Duhamel's principle. | ||
| 653 | |a Eigenfunction. | ||
| 653 | |a Eigenvalues and eigenvectors. | ||
| 653 | |a Electromagnetism. | ||
| 653 | |a Equation. | ||
| 653 | |a Existential quantification. | ||
| 653 | |a Exponential function. | ||
| 653 | |a Floquet theory. | ||
| 653 | |a Fourier inversion theorem. | ||
| 653 | |a Fourier series. | ||
| 653 | |a Fourier transform. | ||
| 653 | |a Fredholm integral equation. | ||
| 653 | |a Frequency domain. | ||
| 653 | |a Helmholtz equation. | ||
| 653 | |a Hilbert space. | ||
| 653 | |a Initial value problem. | ||
| 653 | |a Integral equation. | ||
| 653 | |a Integral transform. | ||
| 653 | |a Integration by parts. | ||
| 653 | |a Inverse problem. | ||
| 653 | |a Inverse scattering problem. | ||
| 653 | |a Lebesgue measure. | ||
| 653 | |a Linear differential equation. | ||
| 653 | |a Linear map. | ||
| 653 | |a Linear space (geometry). | ||
| 653 | |a Locally integrable function. | ||
| 653 | |a Longitudinal wave. | ||
| 653 | |a Mathematical analysis. | ||
| 653 | |a Mathematical physics. | ||
| 653 | |a Metric space. | ||
| 653 | |a Operator theory. | ||
| 653 | |a Ordinary differential equation. | ||
| 653 | |a Orthonormal basis. | ||
| 653 | |a Orthonormality. | ||
| 653 | |a Parseval's theorem. | ||
| 653 | |a Partial derivative. | ||
| 653 | |a Partial differential equation. | ||
| 653 | |a Phase velocity. | ||
| 653 | |a Plane wave. | ||
| 653 | |a Projection (linear algebra). | ||
| 653 | |a Propagator. | ||
| 653 | |a Quantity. | ||
| 653 | |a Quantum mechanics. | ||
| 653 | |a Reflection coefficient. | ||
| 653 | |a Requirement. | ||
| 653 | |a Riesz representation theorem. | ||
| 653 | |a Scalar (physics). | ||
| 653 | |a Scattering theory. | ||
| 653 | |a Scattering. | ||
| 653 | |a Scientific notation. | ||
| 653 | |a Self-adjoint operator. | ||
| 653 | |a Self-adjoint. | ||
| 653 | |a Series expansion. | ||
| 653 | |a Sine wave. | ||
| 653 | |a Spectral method. | ||
| 653 | |a Spectral theorem. | ||
| 653 | |a Spectral theory. | ||
| 653 | |a Square-integrable function. | ||
| 653 | |a Subset. | ||
| 653 | |a Theorem. | ||
| 653 | |a Theory. | ||
| 653 | |a Time domain. | ||
| 653 | |a Time evolution. | ||
| 653 | |a Unbounded operator. | ||
| 653 | |a Unitarity (physics). | ||
| 653 | |a Vector space. | ||
| 653 | |a Volterra integral equation. | ||
| 653 | |a Wave function. | ||
| 653 | |a Wave packet. | ||
| 653 | |a Wave propagation. | ||
| 758 | |i has work: |a Wave scattering by time-dependent perturbations (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFBKYqbyXdmWGTdfQkkRXb |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Roach, G.F. (Gary Francis). |t Wave scattering by time-dependent perturbations. |d Princeton, N.J. : Princeton University Press, ©2007 |z 9780691113401 |z 0691113408 |w (DLC) 2006052858 |w (OCoLC)76939922 |
| 830 | 0 | |a Princeton series in applied mathematics. |0 http://id.loc.gov/authorities/names/no2002046464 | |
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| adam_text | |
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| author | Roach, G. F. (Gary Francis) |
| author_GND | http://id.loc.gov/authorities/names/n81052545 |
| author_facet | Roach, G. F. (Gary Francis) |
| author_role | |
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| callnumber-search | QC157 .R53 2007eb |
| callnumber-sort | QC 3157 R53 42007EB |
| callnumber-subject | QC - Physics |
| collection | ZDB-4-EBA |
| contents | Introduction and outline of contents -- Some aspects of waves on strings -- Mathematical preliminaries -- Spectral theory and spectral decompositions -- On nonautonomous problems -- On scattering theory strategies -- Echo analysis -- Wave scattering from time-periodic perturbations -- Concerning inverse problems -- Some remarks on scattering in other wave systems -- Commentaries and appendices. |
| ctrlnum | (OCoLC)436086359 |
| dewey-full | 531/.1133 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531/.1133 |
| dewey-search | 531/.1133 |
| dewey-sort | 3531 41133 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn436086359 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-25T16:17:11Z |
| institution | BVB |
| isbn | 9781400828166 1400828163 1282158783 9781282158788 9786612158780 6612158786 |
| language | English |
| oclc_num | 436086359 |
| open_access_boolean | |
| owner | MAIN |
| owner_facet | MAIN |
| physical | 1 online resource (x, 287 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Princeton University Press, |
| record_format | marc |
| series | Princeton series in applied mathematics. |
| series2 | Princeton series in applied mathematics |
| spelling | Roach, G. F. (Gary Francis) https://id.oclc.org/worldcat/entity/E39PBJv8KjT7QDkWFY88bMQyVC http://id.loc.gov/authorities/names/n81052545 Wave scattering by time-dependent perturbations : an introduction / G.F. Roach. Princeton, N.J. : Princeton University Press, ©2007. 1 online resource (x, 287 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Princeton series in applied mathematics Includes bibliographical references (pages 275-283) and index. Introduction and outline of contents -- Some aspects of waves on strings -- Mathematical preliminaries -- Spectral theory and spectral decompositions -- On nonautonomous problems -- On scattering theory strategies -- Echo analysis -- Wave scattering from time-periodic perturbations -- Concerning inverse problems -- Some remarks on scattering in other wave systems -- Commentaries and appendices. This book offers the first comprehensive introduction to wave scattering in nonstationary materials. G.F. Roach's aim is to provide an accessible, self-contained resource for newcomers to this important field of research that has applications across a broad range of areas, including radar, sonar, diagnostics in engineering and manufacturing, geophysical prospecting, and ultrasonic medicine such as sonograms. New methods in recent years have been developed to assess the structure and properties of materials and surfaces. When light, sound, or some other wave energy is directed at the material. Print version record. In English. Waves Mathematics. Scattering (Physics) Mathematics. Perturbation (Mathematics) http://id.loc.gov/authorities/subjects/sh85100181 Ondes Mathématiques. Diffusion (Physique nucléaire) Mathématiques. Perturbation (Mathématiques) SCIENCE Waves & Wave Mechanics. bisacsh SCIENCE Physics Mathematical & Computational. bisacsh Perturbation (Mathematics) fast Scattering (Physics) Mathematics fast Waves Mathematics fast Acoustic wave equation. Acoustic wave. Affine space. Angular frequency. Approximation. Asymptotic analysis. Asymptotic expansion. Banach space. Basis (linear algebra). Bessel's inequality. Boundary value problem. Bounded operator. C0-semigroup. Calculation. Characteristic function (probability theory). Classical physics. Codimension. Coefficient. Continuous function (set theory). Continuous function. Continuous spectrum. Convolution. Differentiable function. Differential equation. Dimension (vector space). Dimension. Dimensional analysis. Dirac delta function. Dirichlet problem. Distribution (mathematics). Duhamel's principle. Eigenfunction. Eigenvalues and eigenvectors. Electromagnetism. Equation. Existential quantification. Exponential function. Floquet theory. Fourier inversion theorem. Fourier series. Fourier transform. Fredholm integral equation. Frequency domain. Helmholtz equation. Hilbert space. Initial value problem. Integral equation. Integral transform. Integration by parts. Inverse problem. Inverse scattering problem. Lebesgue measure. Linear differential equation. Linear map. Linear space (geometry). Locally integrable function. Longitudinal wave. Mathematical analysis. Mathematical physics. Metric space. Operator theory. Ordinary differential equation. Orthonormal basis. Orthonormality. Parseval's theorem. Partial derivative. Partial differential equation. Phase velocity. Plane wave. Projection (linear algebra). Propagator. Quantity. Quantum mechanics. Reflection coefficient. Requirement. Riesz representation theorem. Scalar (physics). Scattering theory. Scattering. Scientific notation. Self-adjoint operator. Self-adjoint. Series expansion. Sine wave. Spectral method. Spectral theorem. Spectral theory. Square-integrable function. Subset. Theorem. Theory. Time domain. Time evolution. Unbounded operator. Unitarity (physics). Vector space. Volterra integral equation. Wave function. Wave packet. Wave propagation. has work: Wave scattering by time-dependent perturbations (Text) https://id.oclc.org/worldcat/entity/E39PCFBKYqbyXdmWGTdfQkkRXb https://id.oclc.org/worldcat/ontology/hasWork Print version: Roach, G.F. (Gary Francis). Wave scattering by time-dependent perturbations. Princeton, N.J. : Princeton University Press, ©2007 9780691113401 0691113408 (DLC) 2006052858 (OCoLC)76939922 Princeton series in applied mathematics. http://id.loc.gov/authorities/names/no2002046464 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=286783 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=286783 Volltext |
| spellingShingle | Roach, G. F. (Gary Francis) Wave scattering by time-dependent perturbations : an introduction / Princeton series in applied mathematics. Introduction and outline of contents -- Some aspects of waves on strings -- Mathematical preliminaries -- Spectral theory and spectral decompositions -- On nonautonomous problems -- On scattering theory strategies -- Echo analysis -- Wave scattering from time-periodic perturbations -- Concerning inverse problems -- Some remarks on scattering in other wave systems -- Commentaries and appendices. Waves Mathematics. Scattering (Physics) Mathematics. Perturbation (Mathematics) http://id.loc.gov/authorities/subjects/sh85100181 Ondes Mathématiques. Diffusion (Physique nucléaire) Mathématiques. Perturbation (Mathématiques) SCIENCE Waves & Wave Mechanics. bisacsh SCIENCE Physics Mathematical & Computational. bisacsh Perturbation (Mathematics) fast Scattering (Physics) Mathematics fast Waves Mathematics fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85100181 |
| title | Wave scattering by time-dependent perturbations : an introduction / |
| title_auth | Wave scattering by time-dependent perturbations : an introduction / |
| title_exact_search | Wave scattering by time-dependent perturbations : an introduction / |
| title_full | Wave scattering by time-dependent perturbations : an introduction / G.F. Roach. |
| title_fullStr | Wave scattering by time-dependent perturbations : an introduction / G.F. Roach. |
| title_full_unstemmed | Wave scattering by time-dependent perturbations : an introduction / G.F. Roach. |
| title_short | Wave scattering by time-dependent perturbations : |
| title_sort | wave scattering by time dependent perturbations an introduction |
| title_sub | an introduction / |
| topic | Waves Mathematics. Scattering (Physics) Mathematics. Perturbation (Mathematics) http://id.loc.gov/authorities/subjects/sh85100181 Ondes Mathématiques. Diffusion (Physique nucléaire) Mathématiques. Perturbation (Mathématiques) SCIENCE Waves & Wave Mechanics. bisacsh SCIENCE Physics Mathematical & Computational. bisacsh Perturbation (Mathematics) fast Scattering (Physics) Mathematics fast Waves Mathematics fast |
| topic_facet | Waves Mathematics. Scattering (Physics) Mathematics. Perturbation (Mathematics) Ondes Mathématiques. Diffusion (Physique nucléaire) Mathématiques. Perturbation (Mathématiques) SCIENCE Waves & Wave Mechanics. SCIENCE Physics Mathematical & Computational. Scattering (Physics) Mathematics Waves Mathematics |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=286783 |
| work_keys_str_mv | AT roachgf wavescatteringbytimedependentperturbationsanintroduction |