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Plane-Wave Theory of Time-Domain Fields:Near-Field Scanning Applications

Cover Image Copyright Year: 1999
Author(s): Thorkild B. Hansen; Arthur D. Yaghjian
Publisher: Wiley-IEEE Press
Content Type : Books & eBooks
Topics: Fields, Waves & Electromagnetics
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Abstract

"This invaluable book provides a comprehensive framework for the formulation and solution ofnumerous problems involving the radiation, reception, propagation, and scattering of electromagnetic and acoustic waves. Filled with original derivations and theorems, it includes the first rigorous development of plane-wave expansions for time-domain electromagnetic and acoustic fields. For the past 35 years, near-field measurement techniques have been confined to the frequency domain. Now, with the publication of this book, probe-corrected near-field measurement techniques have been extended to ultra-wide-band, short-pulse transmitting and receiving antennas and transducers. By combining unencumbered straightforward derivations with in-depth expositions of prerequisite material, the authors have created an invaluable resource for research scientists and engineers in electromagnetics and acoustics, and a definitive reference on plane-wave expansions and near-field measurements. Featured topics include: * An introduction to the basic electromagnetic and acoustic field equations * A rigorous development of time-domain and frequency-domain plane-wave representations * The formulation of time-domain, frequency-domain, and static planar near-field measurement techniques with and without probe-correction * Sampling theorems and computation schemes for time-domain and frequency-domain fields * Analytic-signal formulas that simplify the formulation and analysis of transient fields * Wave phenomena, such as ``electromagnetic missiles"" encountered only in the time domain * Definitive force and power relations for electromagnetic and acoustic fields and sources." Sponsored by: IEEE Antennas and Propagation Society.

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      Frontmatter

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): i - xv
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      The prelims comprise:
      Half Title
      IEEE Press Series
      Title
      Copyright
      Dedication
      IEEE Press Board Page
      Contents
      Preface
      Acknowledgments View full abstract»

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      Introduction

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 1 - 5
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      "This invaluable book provides a comprehensive framework for the formulation and solution ofnumerous problems involving the radiation, reception, propagation, and scattering of electromagnetic and acoustic waves. Filled with original derivations and theorems, it includes the first rigorous development of plane-wave expansions for time-domain electromagnetic and acoustic fields. For the past 35 years, near-field measurement techniques have been confined to the frequency domain. Now, with the publication of this book, probe-corrected near-field measurement techniques have been extended to ultra-wide-band, short-pulse transmitting and receiving antennas and transducers. By combining unencumbered straightforward derivations with in-depth expositions of prerequisite material, the authors have created an invaluable resource for research scientists and engineers in electromagnetics and acoustics, and a definitive reference on plane-wave expansions and near-field measurements. Featured topics include: * An introduction to the basic electromagnetic and acoustic field equations * A rigorous development of time-domain and frequency-domain plane-wave representations * The formulation of time-domain, frequency-domain, and static planar near-field measurement techniques with and without probe-correction * Sampling theorems and computation schemes for time-domain and frequency-domain fields * Analytic-signal formulas that simplify the formulation and analysis of transient fields * Wave phenomena, such as ``electromagnetic missiles"" encountered only in the time domain * Definitive force and power relations for electromagnetic and acoustic fields and sources." Sponsored by: IEEE Antennas and Propagation Society. View full abstract»

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      Electromagnetic and Acoustic Field Equations

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 7 - 101
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: Time-Domain Electromagnetic Field Equations
      Time-Domain Acoustic Field Equations
      Frequency-Domain Electromagnetic Field Equations
      Frequency-Domain Acoustic Field Equations
      Equations for Lossy Media

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      FrequencyDomain Representations

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 103 - 154
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: Green's Function Representations
      Plane-Wave Spectrum Representations
      Lossy Media

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      Static Electric and Magnetic Fields

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 155 - 172
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: Green's Function Representations for the Static Electric Field
      Green's Function Representations for the Static Magnetic Field
      Plane-Wave Spectrum Representations

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      TimeDomain Representations

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 173 - 252
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: Green's Function Representations
      Time-Domain Analogs of the Plane-Wave Spectrum Representations
      Analytic-Signal Analogs of the Plane-Wave Spectrum Representations
      Electromagnetic Missiles

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      Probe Correction in the Frequency Domain

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 253 - 269
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: Acoustic Fields
      Electromagnetic Fields

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      Probe Correction in the Time Domain

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 271 - 296
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: Acoustic Fields
      Electromagnetic Fields

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      Sampling Theorems and Computation Schemes

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 297 - 329
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: Frequency-Domain Sampling Theorems and Computation Schemes
      Time-Domain Sampling Theorems and Computation Schemes
      Numerical Examples

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      Appendix A: Uniqueness of Solution to Laplace's Equation

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 331 - 332
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      "This invaluable book provides a comprehensive framework for the formulation and solution ofnumerous problems involving the radiation, reception, propagation, and scattering of electromagnetic and acoustic waves. Filled with original derivations and theorems, it includes the first rigorous development of plane-wave expansions for time-domain electromagnetic and acoustic fields. For the past 35 years, near-field measurement techniques have been confined to the frequency domain. Now, with the publication of this book, probe-corrected near-field measurement techniques have been extended to ultra-wide-band, short-pulse transmitting and receiving antennas and transducers. By combining unencumbered straightforward derivations with in-depth expositions of prerequisite material, the authors have created an invaluable resource for research scientists and engineers in electromagnetics and acoustics, and a definitive reference on plane-wave expansions and near-field measurements. Featured topics include: * An introduction to the basic electromagnetic and acoustic field equations * A rigorous development of time-domain and frequency-domain plane-wave representations * The formulation of time-domain, frequency-domain, and static planar near-field measurement techniques with and without probe-correction * Sampling theorems and computation schemes for time-domain and frequency-domain fields * Analytic-signal formulas that simplify the formulation and analysis of transient fields * Wave phenomena, such as ``electromagnetic missiles"" encountered only in the time domain * Definitive force and power relations for electromagnetic and acoustic fields and sources." Sponsored by: IEEE Antennas and Propagation Society. View full abstract»

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      Appendix B: Proofs of Theorems 2I and 2II

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 333 - 340
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: B.1 Proof of Theorem 2-I
      B.2 Proof of Theorem 2-II

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      Appendix C: Uniqueness of Solution to the Scalar Helmholtz Equation

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 341 - 343
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      "This invaluable book provides a comprehensive framework for the formulation and solution ofnumerous problems involving the radiation, reception, propagation, and scattering of electromagnetic and acoustic waves. Filled with original derivations and theorems, it includes the first rigorous development of plane-wave expansions for time-domain electromagnetic and acoustic fields. For the past 35 years, near-field measurement techniques have been confined to the frequency domain. Now, with the publication of this book, probe-corrected near-field measurement techniques have been extended to ultra-wide-band, short-pulse transmitting and receiving antennas and transducers. By combining unencumbered straightforward derivations with in-depth expositions of prerequisite material, the authors have created an invaluable resource for research scientists and engineers in electromagnetics and acoustics, and a definitive reference on plane-wave expansions and near-field measurements. Featured topics include: * An introduction to the basic electromagnetic and acoustic field equations * A rigorous development of time-domain and frequency-domain plane-wave representations * The formulation of time-domain, frequency-domain, and static planar near-field measurement techniques with and without probe-correction * Sampling theorems and computation schemes for time-domain and frequency-domain fields * Analytic-signal formulas that simplify the formulation and analysis of transient fields * Wave phenomena, such as ``electromagnetic missiles"" encountered only in the time domain * Definitive force and power relations for electromagnetic and acoustic fields and sources." Sponsored by: IEEE Antennas and Propagation Society. View full abstract»

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      Appendix D: Validation of the PlaneWave Spectrum Representation

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 345 - 350
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: D.1 Evaluation of the Spectrum for (k x, k y) ¿ (0,0)
      D.2 Evaluation of the Spectrum for (k x, k y) = (0,0)

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      References

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 351 - 359
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      "This invaluable book provides a comprehensive framework for the formulation and solution ofnumerous problems involving the radiation, reception, propagation, and scattering of electromagnetic and acoustic waves. Filled with original derivations and theorems, it includes the first rigorous development of plane-wave expansions for time-domain electromagnetic and acoustic fields. For the past 35 years, near-field measurement techniques have been confined to the frequency domain. Now, with the publication of this book, probe-corrected near-field measurement techniques have been extended to ultra-wide-band, short-pulse transmitting and receiving antennas and transducers. By combining unencumbered straightforward derivations with in-depth expositions of prerequisite material, the authors have created an invaluable resource for research scientists and engineers in electromagnetics and acoustics, and a definitive reference on plane-wave expansions and near-field measurements. Featured topics include: * An introduction to the basic electromagnetic and acoustic field equations * A rigorous development of time-domain and frequency-domain plane-wave representations * The formulation of time-domain, frequency-domain, and static planar near-field measurement techniques with and without probe-correction * Sampling theorems and computation schemes for time-domain and frequency-domain fields * Analytic-signal formulas that simplify the formulation and analysis of transient fields * Wave phenomena, such as ``electromagnetic missiles"" encountered only in the time domain * Definitive force and power relations for electromagnetic and acoustic fields and sources." Sponsored by: IEEE Antennas and Propagation Society. View full abstract»

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      Glossary of Symbols

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 361 - 367
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      "This invaluable book provides a comprehensive framework for the formulation and solution ofnumerous problems involving the radiation, reception, propagation, and scattering of electromagnetic and acoustic waves. Filled with original derivations and theorems, it includes the first rigorous development of plane-wave expansions for time-domain electromagnetic and acoustic fields. For the past 35 years, near-field measurement techniques have been confined to the frequency domain. Now, with the publication of this book, probe-corrected near-field measurement techniques have been extended to ultra-wide-band, short-pulse transmitting and receiving antennas and transducers. By combining unencumbered straightforward derivations with in-depth expositions of prerequisite material, the authors have created an invaluable resource for research scientists and engineers in electromagnetics and acoustics, and a definitive reference on plane-wave expansions and near-field measurements. Featured topics include: * An introduction to the basic electromagnetic and acoustic field equations * A rigorous development of time-domain and frequency-domain plane-wave representations * The formulation of time-domain, frequency-domain, and static planar near-field measurement techniques with and without probe-correction * Sampling theorems and computation schemes for time-domain and frequency-domain fields * Analytic-signal formulas that simplify the formulation and analysis of transient fields * Wave phenomena, such as ``electromagnetic missiles"" encountered only in the time domain * Definitive force and power relations for electromagnetic and acoustic fields and sources." Sponsored by: IEEE Antennas and Propagation Society. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Index

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 369 - 376
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      "This invaluable book provides a comprehensive framework for the formulation and solution ofnumerous problems involving the radiation, reception, propagation, and scattering of electromagnetic and acoustic waves. Filled with original derivations and theorems, it includes the first rigorous development of plane-wave expansions for time-domain electromagnetic and acoustic fields. For the past 35 years, near-field measurement techniques have been confined to the frequency domain. Now, with the publication of this book, probe-corrected near-field measurement techniques have been extended to ultra-wide-band, short-pulse transmitting and receiving antennas and transducers. By combining unencumbered straightforward derivations with in-depth expositions of prerequisite material, the authors have created an invaluable resource for research scientists and engineers in electromagnetics and acoustics, and a definitive reference on plane-wave expansions and near-field measurements. Featured topics include: * An introduction to the basic electromagnetic and acoustic field equations * A rigorous development of time-domain and frequency-domain plane-wave representations * The formulation of time-domain, frequency-domain, and static planar near-field measurement techniques with and without probe-correction * Sampling theorems and computation schemes for time-domain and frequency-domain fields * Analytic-signal formulas that simplify the formulation and analysis of transient fields * Wave phenomena, such as ``electromagnetic missiles"" encountered only in the time domain * Definitive force and power relations for electromagnetic and acoustic fields and sources." Sponsored by: IEEE Antennas and Propagation Society. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      About the Authors

      Thorkild B. Hansen ; Arthur D. Yaghjian Page(s): 377 - 378
      Copyright Year: 1999

      Wiley-IEEE Press eBook Chapters

      "This invaluable book provides a comprehensive framework for the formulation and solution ofnumerous problems involving the radiation, reception, propagation, and scattering of electromagnetic and acoustic waves. Filled with original derivations and theorems, it includes the first rigorous development of plane-wave expansions for time-domain electromagnetic and acoustic fields. For the past 35 years, near-field measurement techniques have been confined to the frequency domain. Now, with the publication of this book, probe-corrected near-field measurement techniques have been extended to ultra-wide-band, short-pulse transmitting and receiving antennas and transducers. By combining unencumbered straightforward derivations with in-depth expositions of prerequisite material, the authors have created an invaluable resource for research scientists and engineers in electromagnetics and acoustics, and a definitive reference on plane-wave expansions and near-field measurements. Featured topics include: * An introduction to the basic electromagnetic and acoustic field equations * A rigorous development of time-domain and frequency-domain plane-wave representations * The formulation of time-domain, frequency-domain, and static planar near-field measurement techniques with and without probe-correction * Sampling theorems and computation schemes for time-domain and frequency-domain fields * Analytic-signal formulas that simplify the formulation and analysis of transient fields * Wave phenomena, such as ``electromagnetic missiles"" encountered only in the time domain * Definitive force and power relations for electromagnetic and acoustic fields and sources." Sponsored by: IEEE Antennas and Propagation Society. View full abstract»