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Applications of Deep Learning in Electromagnetics : Teaching Maxwell's Equations to Machines
| Applications of Deep Learning in Electromagnetics : Teaching Maxwell's Equations to Machines |
| Autore | Li Maokun |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Stevenage : , : Institution of Engineering & Technology, , 2023 |
| Descrizione fisica | 1 online resource (378 pages) |
| Disciplina | 006.31 |
| Altri autori (Persone) | SalucciMarco |
| Collana | Electromagnetic Waves Series |
| Soggetto topico |
Deep learning (Machine learning)
Maxwell equations Electromagnetism |
| ISBN |
1-83724-521-5
1-5231-5536-1 1-83953-590-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Title -- Copyright -- Contents -- About the editors -- Foreword -- Acknowledgment -- 1 An introduction to deep learning for electromagnetics -- 1.1 Introduction -- 1.2 Basic concepts and taxonomy -- 1.2.1 What is deep learning? -- 1.2.2 Classification of deep learning techniques -- 1.3 Popular DL architectures -- 1.3.1 Convolutional neural networks -- 1.3.2 Recurrent neural networks -- 1.3.3 Generative adversarial networks -- 1.3.4 Autoencoders -- 1.4 Conclusions -- Acknowledgments -- References -- 2 Deep learning techniques for electromagnetic forward modeling -- 2.1 Introduction -- 2.2 DL and ordinary/partial differential equations -- 2.3 Fully data-driven forward modeling -- 2.4 DL-assisted forward modeling -- 2.5 Physics-inspired forward modeling -- 2.6 Summary and outlook -- References -- 3 Deep learning techniques for free-space inverse scattering -- 3.1 Inverse scattering challenges -- 3.2 Traditional approaches -- 3.2.1 Traditional approximate solutions -- 3.2.2 Traditional iterative methods -- 3.3 Artificial neural networks applied to inverse scattering -- 3.4 Shallow network architectures -- 3.5 Black-box approaches -- 3.5.1 Approaches for phaseless data -- 3.5.2 Application in electrical impedance and capacitance tomography -- 3.6 Learning-augmented iterative methods -- 3.7 Non-iterative learning methods -- 3.8 Closing remarks -- References -- 4 Deep learning techniques for non-destructive testing and evaluation -- 4.1 Introduction -- 4.2 Principles of electromagnetic NDT& -- E modeling -- 4.2.1 Field solution for the flawless piece and calculation of the signal geometry ΔZTR(p) -- 4.2.2 Defect response: calculation of the flaw signal ΔZTR(d) -- 4.2.3 Examples -- 4.2.4 Inverse problems by means of optimization and machine learning approaches.
4.3 Applications of deep learning approaches for forward and inverse problems in NDT& -- E -- 4.3.1 Most relevant deep learning architecture in NDT& -- E -- 4.4 Application of deep learning to electromagnetic NDT& -- E -- 4.4.1 Deep learning in electromagnetic NDT& -- E applied to the energy sector -- 4.4.2 Applications to the transportation and civil infrastructures sectors -- 4.4.3 Applications to the manufacturing and agri-food sectors -- 4.5 Applications to higher frequency NDT& -- E methods -- 4.5.1 Infrared thermography testing and terahertz wave testing -- 4.5.2 Radiographic testing -- 4.6 Future trends and open issues for deep learning algorithms as applied to electromagnetic NDT& -- E -- 4.7 Conclusion and remarks -- 4.8 Acknowledgments -- References -- 5 Deep learning techniques for subsurface imaging -- 5.1 Introduction -- 5.2 Purely data-driven approach -- 5.2.1 Convolutional neural network -- 5.2.2 Recurrent neural network -- 5.2.3 Generative adversarial network -- 5.3 Physics embedded data-driven approach -- 5.3.1 Supervised descent method -- 5.3.2 Physics embedded deep neural network -- 5.4 Learning-assisted physics-driven approach -- 5.5 Deep learning in seismic data inversion -- 5.5.1 Inversion with unsupervised RNN -- 5.5.2 Low-frequency data prediction -- 5.5.3 Physically realistic dataset construction -- 5.5.4 Learning the optimization -- 5.5.5 Deep learning constrained traveltime tomography -- 5.6 Deep learning in multi-physics joint inversion -- 5.7 Construction of the training dataset -- 5.8 Conclusions and outlooks -- References -- 6 Deep learning techniques for biomedical imaging -- 6.1 Introduction -- 6.2 Physics of medical imaging -- 6.2.1 Maxwell's equations -- 6.2.2 Formulations of EIT -- 6.2.3 Formulations of MWI -- 6.2.4 Inverse methods for EIT and MWI -- 6.3 Deep-learning in medical imaging. 6.3.1 Machine learning -- 6.3.2 Deep learning neural networks -- 6.3.3 DNN in medical imaging -- 6.4 Hybrid physics-based learning-assisted medical imaging: example studies -- 6.4.1 Example 1: EIT-based SDL-assisted imaging -- 6.4.2 Example 2: MWI(CSI)-based UNet-assisted imaging -- 6.4.3 Example 3: MWI(BIM)-based CNN-assisted imaging -- 6.5 Summary -- References -- 7 Deep learning techniques for direction of arrival estimation -- 7.1 Introduction -- 7.2 Problem formulation -- 7.2.1 Conventional observation model -- 7.2.2 Overcomplete formulation of array outputs -- 7.2.3 Array imperfections -- 7.3 Deep learning framework for DOA estimation -- 7.3.1 Data pre-processing -- 7.3.2 Deep learning model -- 7.3.3 Post-processing for DOA refinement -- 7.4 A hybrid DNN architecture for DOA estimation -- 7.4.1 The hierarchical DNN structure -- 7.4.2 Training strategy of the hybrid DNN model -- 7.4.3 Simulations and analyses -- 7.5 Concluding remarks and future trends -- References -- 8 Deep learning techniques for remote sensing -- 8.1 Target recognition -- 8.1.1 Ship detection -- 8.1.2 Aircraft recognition -- 8.1.3 Footprint extraction -- 8.1.4 Few-shot recognition of SAR targets -- 8.2 Land use and land classification -- 8.2.1 Local climate zone classification -- 8.2.2 Crop-type classification -- 8.2.3 SAR-optical fusion for land segmentation -- 8.3 Disaster monitoring -- 8.3.1 Flood detection -- 8.3.2 Storm nowcasting -- 8.3.3 Lightning nowcasting -- 8.4 Forest applications -- 8.4.1 Tree species classification -- 8.4.2 Deforestation mapping -- 8.4.3 Fire monitoring -- 8.5 Conclusions -- References -- 9 Deep learning techniques for digital satellite communications -- 9.1 Introduction -- 9.2 Machine learning for SatCom -- 9.2.1 Deep learning -- 9.3 Digital satellite communication systems -- 9.3.1 Uplink segment -- 9.3.2 Space segment -- 9.3.3 Downlink segment. 9.4 SatCom systems modelling -- 9.4.1 High-power amplifier modelling -- 9.5 SNR estimation -- 9.5.1 Autoencoders -- 9.5.2 SNR estimation methodology -- 9.5.3 Metrics -- 9.5.4 Application example -- 9.5.5 Metrics tuning and consistency analysis -- 9.5.6 Results and discussion -- 9.6 Input back-off estimation -- 9.6.1 Deep learning model for IBO estimation -- 9.6.2 Performance metric -- 9.6.3 Data generation -- 9.6.4 Results and discussion -- 9.7 Conclusion -- References -- 10 Deep learning techniques for imaging and gesture recognition -- 10.1 Introduction -- 10.2 Design of reprogrammable metasurface -- 10.3 Intelligent metasurface imager -- 10.3.1 System configuration -- 10.3.2 Results -- 10.4 VAE-based intelligent integrated metasurface sensor -- 10.4.1 System configuration -- 10.4.2 Variational auto-encoder (VAE) principle -- 10.4.3 Results -- 10.5 Free-energy-based intelligent integrated metasurface sensor -- 10.5.1 System configuration -- 10.5.2 Free-energy minimization principle -- 10.5.3 Results -- References -- 11 Deep learning techniques for metamaterials and metasurfaces design -- 11.1 Introduction -- 11.2 Discriminative learning approach -- 11.3 Generative learning approach -- 11.4 Reinforcement learning approach -- 11.5 Deep learning and optimization hybrid approach -- 11.6 Summary -- References -- 12 Deep learning techniques for microwave circuit modeling -- 12.1 Introduction -- 12.2 Feedforward deep neural network for microwave circuit modeling -- 12.2.1 Feedforward deep neural network and the vanishing gradient problem -- 12.2.2 A hybrid feedforward deep neural network -- 12.3 Recurrent neural networks for microwave circuit modeling -- 12.3.1 Global-feedback recurrent neural network -- 12.3.2 Adjoint recurrent neural network -- 12.3.3 Global-feedback deep recurrent neural network -- 12.3.4 Local-feedback deep recurrent neural network. 12.3.5 Long short-term memory neural network -- 12.4 Application examples of deep neural network for microwave modeling -- 12.4.1 High-dimensional parameter-extraction modeling using the hybrid feedforward deep neural network -- 12.4.2 Macromodeling of audio amplifier using long short-term memory neural network -- 12.5 Discussion -- 12.6 Conclusion -- References -- 13 Concluding remarks, open challenges, and future trends -- 13.1 Introduction -- 13.2 Pros and cons of DL -- 13.2.1 High computational efficiency and accuracy -- 13.2.2 Bypassing feature engineering -- 13.2.3 Large amounts of training data -- 13.2.4 High computational burden -- 13.2.5 Deep architectures, not learning -- 13.2.6 Lack of transparency -- 13.3 Open challenges -- 13.3.1 The need for less data and higher efficiency -- 13.3.2 Handling data outside the training distribution -- 13.3.3 Improving flexibility and enabling multi-tasking -- 13.3.4 Counteracting over-fitting -- 13.4 Future trends -- 13.4.1 Few shot, one shot, and zero shot learning -- 13.4.2 Foundation models -- 13.4.3 Attention schemes and transformers -- 13.4.4 Deep symbolic reinforcement learning -- 13.5 Conclusions -- References -- Index. |
| Record Nr. | UNINA-9911006703903321 |
Li Maokun
|
||
| Stevenage : , : Institution of Engineering & Technology, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equations / / Moshé Flato, Jacques C.H. Simon, Erik Taflin
| Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equations / / Moshé Flato, Jacques C.H. Simon, Erik Taflin |
| Autore | Flato M (Moshé), <1937-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (328 p.) |
| Disciplina |
510 s
537.6/7/01515353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Quantum electrodynamics - Mathematics
Evolution equations - Asymptotic theory Maxwell equations Dirac equation |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0191-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480934103321 |
|
Flato M (Moshé), <1937->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equations / / Moshé Flato, Jacques C.H. Simon, Erik Taflin
| Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equations / / Moshé Flato, Jacques C.H. Simon, Erik Taflin |
| Autore | Flato M (Moshé), <1937-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (328 p.) |
| Disciplina |
510 s
537.6/7/01515353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Quantum electrodynamics - Mathematics
Evolution equations - Asymptotic theory Maxwell equations Dirac equation |
| ISBN | 1-4704-0191-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910788731903321 |
|
Flato M (Moshé), <1937->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equations / / Moshé Flato, Jacques C.H. Simon, Erik Taflin
| Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equations / / Moshé Flato, Jacques C.H. Simon, Erik Taflin |
| Autore | Flato M (Moshé), <1937-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (328 p.) |
| Disciplina |
510 s
537.6/7/01515353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Quantum electrodynamics - Mathematics
Evolution equations - Asymptotic theory Maxwell equations Dirac equation |
| ISBN | 1-4704-0191-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910812407903321 |
|
Flato M (Moshé), <1937->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Discontinuities in the electromagnetic field / / M. Mithat Idemen
| Discontinuities in the electromagnetic field / / M. Mithat Idemen |
| Autore | Idemen M. Mithat |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley-IEEE Press, , c2011 |
| Descrizione fisica | 1 online resource (240 p.) |
| Disciplina |
530.14/1
621.3 |
| Collana | IEEE Press series on electromagnetic wave theory |
| Soggetto topico |
Electromagnetic fields - Mathematics
Maxwell equations Electromagnetic waves |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-17590-8
9786613175908 1-118-05791-0 1-118-05790-2 |
| Classificazione | SCI022000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface ix -- 1. Introduction 1 -- 2. Distributions and Derivatives in the Sense of Distribution 7 -- 2.1 Functions and Distributions, 7 -- 2.2 Test Functions. The Space C∞ 0 , 9 -- 2.3 Convergence in D, 14 -- 2.4 Distribution, 16 -- 2.5 Some Simple Operations in D, 21 -- 2.5.1 Multiplication by a Real Number or a Function, 21 -- 2.5.2 Translation and Rescaling, 21 -- 2.5.3 Derivation of a Distribution, 22 -- 2.6 Order of a Distribution, 26 -- 2.7 The Support of a Distribution, 31 -- 2.8 Some Generalizations, 33 -- 2.8.1 Distributions on Multidimensional Spaces, 33 -- 2.8.2 Vector-Valued Distributions, 38 -- 3. Maxwell Equations in the Sense of Distribution 49 -- 3.1 Maxwell Equations Reduced into the Vacuum, 49 -- 3.1.1 Some Simple Examples, 53 -- 3.2 Universal Boundary Conditions and Compatibility Relations, 54 -- 3.2.1 An Example. Discontinuities on a Combined Sheet, 57 -- 3.3 The Concept of Material Sheet, 59 -- 3.4 The Case of Monochromatic Fields, 62 -- 3.4.1 Discontinuities on the Interface Between Two -- Simple Media that Are at Rest, 64 -- 4. Boundary Conditions on Material Sheets at Rest 67 -- 4.1 Universal Boundary Conditions and Compatibility Relations for a Fixed Material Sheet, 67 -- 4.2 Some General Results, 69 -- 4.3 Some Particular Cases, 70 -- 4.3.1 Planar Material Sheet Between Two Simple Media, 70 -- 4.3.2 Cylindrically or Spherically Curved Material Sheet Located Between Two Simple Media, 91 -- 4.3.3 Conical Material Sheet Located Between Two Simple Media, 93 -- 5. Discontinuities on a Moving Sheet 109 -- 5.1 Special Theory of Relativity, 110 -- 5.1.1 The Field Created by a Uniformly Moving Point Charge, 112 -- 5.1.2 The Expressions of the Field in a Reference System Attached to the Charged Particle, 114 -- 5.1.3 Lorentz Transformation Formulas, 115 -- 5.1.4 Transformation of the Electromagnetic Field, 118 -- 5.2 Discontinuities on a Uniformly Moving Surface, 120 -- 5.2.1 Transformation of the Universal Boundary Conditions, 123 -- 5.2.2 Transformation of the Compatibility Relations, 126.
5.2.3 Some Simple Examples, 126 -- 5.3 Discontinuities on a Nonuniformly Moving Sheet, 138 -- 5.3.1 Boundary Conditions on a Plane that Moves in a Direction Normal to Itself, 139 -- 5.3.2 Boundary Conditions on the Interface of Two Simple Media, 143 -- 6. Edge Singularities on Material Wedges Bounded by Plane Boundaries 149 -- 6.1 Introduction, 149 -- 6.2 Singularities at the Edges of Material Wedges, 153 -- 6.3 The Wedge with Penetrable Boundaries, 154 -- 6.3.1 The H Case, 156 -- 6.3.2 The E Case, 171 -- 6.4 The Wedge with Impenetrable Boundaries, 174 -- 6.5 Examples. Application to Half-Planes, 175 -- 6.6 Edge Conditions for the Induced Surface Currents, 176 -- 7. Tip Singularities at the Apex of a Material Cone 179 -- 7.1 Introduction, 179 -- 7.2 Algebraic Singularities of an H-Type Field, 185 -- 7.2.1 Contribution of the Energy Restriction, 185 -- 7.2.2 Contribution of the Boundary Conditions, 186 -- 7.3 Algebraic Singularities of an E-Type Field, 191 -- 7.4 The Case of Impenetrable Cones, 193 -- 7.5 Confluence and Logarithmic Singularities, 195 -- 7.6 Application to some Widely used Actual Boundary Conditions, 197 -- 7.7 Numerical Solutions of the Transcendental Equations Satisfied by the Minimal Index, 200 -- 7.7.1 The Case of Very Sharp Tip, 200 -- 7.7.2 The Case of Real-Valued Minimal v, 201 -- 7.7.3 A Function-Theoretic Method to Determine Numerically the Minimal v, 203 -- 8. Temporal Discontinuities 209 -- 8.1 Universal Initial Conditions, 209 -- 8.2 Linear Mediums in the Generalized Sense, 211 -- 8.3 An Illustrative Example, 212 -- References 215 -- Index 219 -- IEEE Press Series on Electromagnetic Wave Theory. |
| Record Nr. | UNINA-9910139627403321 |
|
Idemen M. Mithat
|
||
| Hoboken, New Jersey : , : Wiley-IEEE Press, , c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Discontinuities in the electromagnetic field / / M. Mithat Idemen
| Discontinuities in the electromagnetic field / / M. Mithat Idemen |
| Autore | Idemen M. Mithat |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley-IEEE Press, , c2011 |
| Descrizione fisica | 1 online resource (240 p.) |
| Disciplina |
530.14/1
621.3 |
| Collana | IEEE Press series on electromagnetic wave theory |
| Soggetto topico |
Electromagnetic fields - Mathematics
Maxwell equations Electromagnetic waves |
| ISBN |
1-283-17590-8
9786613175908 1-118-05791-0 1-118-05790-2 |
| Classificazione | SCI022000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface ix -- 1. Introduction 1 -- 2. Distributions and Derivatives in the Sense of Distribution 7 -- 2.1 Functions and Distributions, 7 -- 2.2 Test Functions. The Space C∞ 0 , 9 -- 2.3 Convergence in D, 14 -- 2.4 Distribution, 16 -- 2.5 Some Simple Operations in D, 21 -- 2.5.1 Multiplication by a Real Number or a Function, 21 -- 2.5.2 Translation and Rescaling, 21 -- 2.5.3 Derivation of a Distribution, 22 -- 2.6 Order of a Distribution, 26 -- 2.7 The Support of a Distribution, 31 -- 2.8 Some Generalizations, 33 -- 2.8.1 Distributions on Multidimensional Spaces, 33 -- 2.8.2 Vector-Valued Distributions, 38 -- 3. Maxwell Equations in the Sense of Distribution 49 -- 3.1 Maxwell Equations Reduced into the Vacuum, 49 -- 3.1.1 Some Simple Examples, 53 -- 3.2 Universal Boundary Conditions and Compatibility Relations, 54 -- 3.2.1 An Example. Discontinuities on a Combined Sheet, 57 -- 3.3 The Concept of Material Sheet, 59 -- 3.4 The Case of Monochromatic Fields, 62 -- 3.4.1 Discontinuities on the Interface Between Two -- Simple Media that Are at Rest, 64 -- 4. Boundary Conditions on Material Sheets at Rest 67 -- 4.1 Universal Boundary Conditions and Compatibility Relations for a Fixed Material Sheet, 67 -- 4.2 Some General Results, 69 -- 4.3 Some Particular Cases, 70 -- 4.3.1 Planar Material Sheet Between Two Simple Media, 70 -- 4.3.2 Cylindrically or Spherically Curved Material Sheet Located Between Two Simple Media, 91 -- 4.3.3 Conical Material Sheet Located Between Two Simple Media, 93 -- 5. Discontinuities on a Moving Sheet 109 -- 5.1 Special Theory of Relativity, 110 -- 5.1.1 The Field Created by a Uniformly Moving Point Charge, 112 -- 5.1.2 The Expressions of the Field in a Reference System Attached to the Charged Particle, 114 -- 5.1.3 Lorentz Transformation Formulas, 115 -- 5.1.4 Transformation of the Electromagnetic Field, 118 -- 5.2 Discontinuities on a Uniformly Moving Surface, 120 -- 5.2.1 Transformation of the Universal Boundary Conditions, 123 -- 5.2.2 Transformation of the Compatibility Relations, 126.
5.2.3 Some Simple Examples, 126 -- 5.3 Discontinuities on a Nonuniformly Moving Sheet, 138 -- 5.3.1 Boundary Conditions on a Plane that Moves in a Direction Normal to Itself, 139 -- 5.3.2 Boundary Conditions on the Interface of Two Simple Media, 143 -- 6. Edge Singularities on Material Wedges Bounded by Plane Boundaries 149 -- 6.1 Introduction, 149 -- 6.2 Singularities at the Edges of Material Wedges, 153 -- 6.3 The Wedge with Penetrable Boundaries, 154 -- 6.3.1 The H Case, 156 -- 6.3.2 The E Case, 171 -- 6.4 The Wedge with Impenetrable Boundaries, 174 -- 6.5 Examples. Application to Half-Planes, 175 -- 6.6 Edge Conditions for the Induced Surface Currents, 176 -- 7. Tip Singularities at the Apex of a Material Cone 179 -- 7.1 Introduction, 179 -- 7.2 Algebraic Singularities of an H-Type Field, 185 -- 7.2.1 Contribution of the Energy Restriction, 185 -- 7.2.2 Contribution of the Boundary Conditions, 186 -- 7.3 Algebraic Singularities of an E-Type Field, 191 -- 7.4 The Case of Impenetrable Cones, 193 -- 7.5 Confluence and Logarithmic Singularities, 195 -- 7.6 Application to some Widely used Actual Boundary Conditions, 197 -- 7.7 Numerical Solutions of the Transcendental Equations Satisfied by the Minimal Index, 200 -- 7.7.1 The Case of Very Sharp Tip, 200 -- 7.7.2 The Case of Real-Valued Minimal v, 201 -- 7.7.3 A Function-Theoretic Method to Determine Numerically the Minimal v, 203 -- 8. Temporal Discontinuities 209 -- 8.1 Universal Initial Conditions, 209 -- 8.2 Linear Mediums in the Generalized Sense, 211 -- 8.3 An Illustrative Example, 212 -- References 215 -- Index 219 -- IEEE Press Series on Electromagnetic Wave Theory. |
| Record Nr. | UNINA-9910831058803321 |
|
Idemen M. Mithat
|
||
| Hoboken, New Jersey : , : Wiley-IEEE Press, , c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Discontinuities in the electromagnetic field / / M. Mithat Idemen
| Discontinuities in the electromagnetic field / / M. Mithat Idemen |
| Autore | Idemen M. Mithat |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-IEEE Press, 2011 |
| Descrizione fisica | 1 online resource (240 p.) |
| Disciplina | 530.14/1 |
| Collana | IEEE Press series on electromagnetic wave theory |
| Soggetto topico |
Electromagnetic fields - Mathematics
Maxwell equations Electromagnetic waves |
| ISBN |
9786613175908
9781283175906 1283175908 9781118057919 1118057910 9781118057902 1118057902 |
| Classificazione | SCI022000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Machine generated contents note : Preface -- ch. 1. Introduction -- ch. 2. Distributions and derivatives in the sense of distribution: 2.1 Functions and distributions ; 2.2 Test functions : the space C ; 2.3 Convergence in D ; 2.4 Distributions ; 2.5 Some simple operations in D ; 2.6 Order of a distribution ; 2.7 The support of a distribution ; 2.8 Some generalizations -- ch. 3. Maxwell equations in the sense of distribution: 3.1 Maxwell equations reduced into the vacuum ; 3.2 Universal boundary conditions and compatibility relations ; 3.3 The concept of material sheet ; 3.4 The case of monochromatic fields ; ch. 4. Boundary conditions on material sheets at rest: 4.1 Universal boundary conditions and compatibility relations for a fixed material sheet ; 4.2 Some general results ; 4.3 Some particular cases -- ch. 5. Discontinuities on a moving sheet: 5.1 Special theory of relativity ; 5.2 Discontinuities on a uniformly moving surface ; 5.3 Discontinuities on a nonuniformly moving sheet -- ch. 6. Edge singularities on material wedges bounded by plane boundaries: 6.1 Introduction ; 6.2 Singularities at the edges of material wedges ; 6.3 The wedge with penetrable boundaries ; 6.4 The wedge with impenetrable boundaries ; 6.5 Examples : application to half-planes ; 6.6 Edge conditions for the induced surface currents -- ch. 7. Tip singularities at the apex of a material cone: 7.1 Introduction ; 7.2 Algebraic singularities of an H-type field ; 7.3 Algebraic singularities of an E-type field ; 7.4 The case of impenetrable cones ; 7.5 Confluence and logarithmic singularities ; 7.6 Application to some widely used actual boundary conditions ; 7.7 Numerical solutions of the transcendental equations satisfied by the minimal index -- ch. 8. Temporal discontinuities: 8.1 Universal initial conditions ; 8.2 Linear mediums in the generalized sense ; 8.3 An illustrative example -- References -- Index. |
| Record Nr. | UNINA-9911020430503321 |
|
Idemen M. Mithat
|
||
| Hoboken, N.J., : Wiley-IEEE Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Electromagnetic waves 1 : Maxwell's equations, wave propagation / / editedby Pierre-Noël Favennec
| Electromagnetic waves 1 : Maxwell's equations, wave propagation / / editedby Pierre-Noël Favennec |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : John Wiley & Sons, Incorporated, , [2020] |
| Descrizione fisica | 1 online resource (301 pages) : illustrations |
| Disciplina | 530.141 |
| Soggetto topico |
Electromagnetic waves
Maxwell equations |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-119-81846-X
1-119-81848-6 1-119-81847-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Half-Title Page -- Title Page -- Copyright Page -- Contents -- Preface -- References -- 1 Maxwell's Equations -- 1.1. Maxwell's equations in a vacuum -- 1.1.1. Electrostatics1 -- 1.1.2. Magnetostatics2 -- 1.1.3. Electromagnetic induction3 -- 1.1.4. Maxwell's equations -- 1.2. Maxwell equations in material media4 -- 1.2.1. Electric field and potential in macroscopic dielectric media -- 1.2.2. Homogeneous linear dielectric media -- 1.2.3. Magnetic media -- 1.2.4. Maxwell equations in a polarized and magnetic medium -- 1.3. References -- 2 The Propagation of Optical and Radio Electromagnetic Waves -- 2.1. Introduction -- 2.2. Maxwell's equations -- 2.2.1. Maxwell-Gauss equation -- 2.2.2. Maxwell-Thompson equation -- 2.2.3. Maxwell-Faraday equation -- 2.2.4. Maxwell-Ampère equation -- 2.3. Solving Maxwell's equations -- 2.4. Characteristics of electromagnetic waves -- 2.4.1 Propagation speed -- 2.4.2. Wavelength and/or frequency -- 2.4.3. The characteristic impedance of the propagation medium -- 2.4.4. Poynting vector -- 2.4.5. The refractive index -- 2.4.6. Polarization -- 2.4.7. Transpolarization -- 2.4.8. Different propagation paths -- 2.4.9. Fresnel zones -- 2.4.10. Fundamental properties of the propagation channel -- 2.5. Propagation modeling -- 2.5.1. Tropospheric propagation -- 2.5.2. Propagation in rural, suburban and urban areas -- 2.5.3. Propagation within buildings -- 2.5.4. Broadband propagation -- 2.5.5. Ultra-wideband propagation -- 2.6. The propagation of visible and infrared waves in the Earth's atmosphere -- 2.6.1. Introduction -- 2.6.2. The propagation of light in the atmosphere -- 2.6.3. The different models -- 2.6.4. Experimental results -- 2.6.5. Fog and mist -- 2.6.6. Sandstorms -- 2.6.7. Meteorological optical range -- 2.6.8. Applications -- 2.7. Conclusion -- 2.8. Recommendations ITU-R -- 2.9. References.
Appendix 1: Mathematical Formulae1 -- A1.1. Trigonometric transformation equations -- A1.2. Series developments -- Appendix 2: Vector Calculations -- A2.1. Vectors in coordinate systems -- A2.1.1. Cartesian coordinate systems -- A2.1.2. Cylindrical coordinate systems -- A2.1.3. Spherical coordinate systems -- A2.1.4. Laws of orientation in space -- A2.1.5. Solid angle -- A2.1.6. Scalar product of two vectors -- A2.1.7. Vector product of two vectors -- A2.1.8. Field -- A2.1.9. Circulation of a vector -- A2.1.10. Flux of a vector -- A2.2. Vector operators -- A2.2.1. Gradient operators -- A2.2.2. Divergence operator -- A2.2.3. Rotation operator -- A2.2.4. Laplacian operator -- A2.2.5. Relations in vector algebra -- A2.3. Integral transform theorems -- A2.3.1. Stokes' theorem -- A2.3.2. Ostrogradsky's theorem -- A2.4. Fundamental relations -- Appendix 3: Frequency Spectrum1 -- A3.1. Introduction -- A3.2. The different frequency ranges -- A3.2.1. ELF waves (frequency less than 3 kHz) -- A3.2.2. VLF waves (3-30 kHz) -- A3.2.3. LF waves (30-300 kHz) -- A3.2.4. MF waves (300-3,000 kHz) -- A3.2.5. HF waves (3-30 MHz) -- A3.2.6. VHF waves (30-300 MHz) -- A3.2.7. UHF waves (300-3,000 MHz) -- A3.2.8. SHF waves (3-30 GHz) -- A3.2.9. EH waves (30-300 GHz) -- A3.2.10. Sub-EHF waves (300-3,000 GHz) -- A3.2.11. Infrared waves (3-430 THz) and light waves (430-860 THz) -- Appendix 4: The Decibel -- A4.1. Introduction -- A4.2. Definition -- A4.3. The different variants -- A4.4. Decibel operations -- A4.5. Correlation table -- A4.6. Particular values -- Appendix 5: The International Visibility Code -- List of Acronyms and Constants -- List of Authors -- Index -- EULA. |
| Record Nr. | UNINA-9910555062103321 |
| Hoboken, New Jersey : , : John Wiley & Sons, Incorporated, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Electromagnetic waves 1 : Maxwell's equations, wave propagation / / editedby Pierre-Noël Favennec
| Electromagnetic waves 1 : Maxwell's equations, wave propagation / / editedby Pierre-Noël Favennec |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : John Wiley & Sons, Incorporated, , [2020] |
| Descrizione fisica | 1 online resource (301 pages) : illustrations |
| Disciplina | 530.141 |
| Soggetto topico |
Electromagnetic waves
Maxwell equations |
| ISBN |
1-119-81846-X
1-119-81848-6 1-119-81847-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Half-Title Page -- Title Page -- Copyright Page -- Contents -- Preface -- References -- 1 Maxwell's Equations -- 1.1. Maxwell's equations in a vacuum -- 1.1.1. Electrostatics1 -- 1.1.2. Magnetostatics2 -- 1.1.3. Electromagnetic induction3 -- 1.1.4. Maxwell's equations -- 1.2. Maxwell equations in material media4 -- 1.2.1. Electric field and potential in macroscopic dielectric media -- 1.2.2. Homogeneous linear dielectric media -- 1.2.3. Magnetic media -- 1.2.4. Maxwell equations in a polarized and magnetic medium -- 1.3. References -- 2 The Propagation of Optical and Radio Electromagnetic Waves -- 2.1. Introduction -- 2.2. Maxwell's equations -- 2.2.1. Maxwell-Gauss equation -- 2.2.2. Maxwell-Thompson equation -- 2.2.3. Maxwell-Faraday equation -- 2.2.4. Maxwell-Ampère equation -- 2.3. Solving Maxwell's equations -- 2.4. Characteristics of electromagnetic waves -- 2.4.1 Propagation speed -- 2.4.2. Wavelength and/or frequency -- 2.4.3. The characteristic impedance of the propagation medium -- 2.4.4. Poynting vector -- 2.4.5. The refractive index -- 2.4.6. Polarization -- 2.4.7. Transpolarization -- 2.4.8. Different propagation paths -- 2.4.9. Fresnel zones -- 2.4.10. Fundamental properties of the propagation channel -- 2.5. Propagation modeling -- 2.5.1. Tropospheric propagation -- 2.5.2. Propagation in rural, suburban and urban areas -- 2.5.3. Propagation within buildings -- 2.5.4. Broadband propagation -- 2.5.5. Ultra-wideband propagation -- 2.6. The propagation of visible and infrared waves in the Earth's atmosphere -- 2.6.1. Introduction -- 2.6.2. The propagation of light in the atmosphere -- 2.6.3. The different models -- 2.6.4. Experimental results -- 2.6.5. Fog and mist -- 2.6.6. Sandstorms -- 2.6.7. Meteorological optical range -- 2.6.8. Applications -- 2.7. Conclusion -- 2.8. Recommendations ITU-R -- 2.9. References.
Appendix 1: Mathematical Formulae1 -- A1.1. Trigonometric transformation equations -- A1.2. Series developments -- Appendix 2: Vector Calculations -- A2.1. Vectors in coordinate systems -- A2.1.1. Cartesian coordinate systems -- A2.1.2. Cylindrical coordinate systems -- A2.1.3. Spherical coordinate systems -- A2.1.4. Laws of orientation in space -- A2.1.5. Solid angle -- A2.1.6. Scalar product of two vectors -- A2.1.7. Vector product of two vectors -- A2.1.8. Field -- A2.1.9. Circulation of a vector -- A2.1.10. Flux of a vector -- A2.2. Vector operators -- A2.2.1. Gradient operators -- A2.2.2. Divergence operator -- A2.2.3. Rotation operator -- A2.2.4. Laplacian operator -- A2.2.5. Relations in vector algebra -- A2.3. Integral transform theorems -- A2.3.1. Stokes' theorem -- A2.3.2. Ostrogradsky's theorem -- A2.4. Fundamental relations -- Appendix 3: Frequency Spectrum1 -- A3.1. Introduction -- A3.2. The different frequency ranges -- A3.2.1. ELF waves (frequency less than 3 kHz) -- A3.2.2. VLF waves (3-30 kHz) -- A3.2.3. LF waves (30-300 kHz) -- A3.2.4. MF waves (300-3,000 kHz) -- A3.2.5. HF waves (3-30 MHz) -- A3.2.6. VHF waves (30-300 MHz) -- A3.2.7. UHF waves (300-3,000 MHz) -- A3.2.8. SHF waves (3-30 GHz) -- A3.2.9. EH waves (30-300 GHz) -- A3.2.10. Sub-EHF waves (300-3,000 GHz) -- A3.2.11. Infrared waves (3-430 THz) and light waves (430-860 THz) -- Appendix 4: The Decibel -- A4.1. Introduction -- A4.2. Definition -- A4.3. The different variants -- A4.4. Decibel operations -- A4.5. Correlation table -- A4.6. Particular values -- Appendix 5: The International Visibility Code -- List of Acronyms and Constants -- List of Authors -- Index -- EULA. |
| Record Nr. | UNINA-9910830496503321 |
| Hoboken, New Jersey : , : John Wiley & Sons, Incorporated, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Electromagnetism : Maxwell equations, wave propagation, and emission / / Tamer Becherrawy
| Electromagnetism : Maxwell equations, wave propagation, and emission / / Tamer Becherrawy |
| Autore | Becherrawy Tamer |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | London, : ISTE Ltd. |
| Descrizione fisica | 1 online resource (562 p.) |
| Disciplina | 537 |
| Collana | ISTE |
| Soggetto topico |
Electromagnetism
Maxwell equations Electromagnetic waves Field emission |
| ISBN |
9781118562215
1118562216 9781118587775 1118587774 9781299186996 1299186998 9781118587607 111858760X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Electrostatics in vacuum -- Conductors and currents -- Dielectrics -- Special techniques and approximation methods -- Magnetic field -- Magnetism in matter -- Induction -- Maxwell's equations -- Electromagnetic waves -- Reflection, interference, diffraction and diffusion -- Guided waves -- Special relativity and electrodynamics -- Motion of charged particles in an electromagnetic field -- Emission of radiation. |
| Record Nr. | UNINA-9911019300403321 |
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Becherrawy Tamer
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| London, : ISTE Ltd. | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
