(Ebook PDF) Deterministic and Stochastic Modeling in Computational Electromagnetics 1st edition by Dragan Poljak, Anna Susnjara ISBN 9781119989264 1119989264 full chapters

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ISBN 10:1119989264

ISBN 13:9781119989264

Author: Dragan Poljak; Anna Susnjara

Deterministic and Stochastic Modeling in Computational Electromagnetics

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Deterministic computational models are those for which all inputs are precisely known, whereas stochastic modeling reflects uncertainty or randomness in one or more of the data inputs. Many problems in computational engineering therefore require both deterministic and stochastic modeling to be used in parallel, allowing for different degrees of confidence and incorporating datasets of different kinds. In particular, non-intrusive stochastic methods can be easily combined with widely used deterministic approaches, enabling this more robust form of data analysis to be applied to a range of computational challenges.

Deterministic and Stochastic Modeling in Computational Electromagnetics provides a rare treatment of parallel deterministic–stochastic computational modeling and its beneficial applications. Unlike other works of its kind, which generally treat deterministic and stochastic modeling in isolation from one another, it aims to demonstrate the usefulness of a combined approach and present particular use-cases in which such an approach is clearly required. It offers a non-intrusive stochastic approach which can be incorporated with minimal effort into virtually all existing computational models.

Table of Contents:

• Part I: Some Fundamental Principles in Field Theory
• 1 Least Action Principle in Electromagnetics
• 1.1 Hamilton Principle
• 1.2 Newton’s Equation of Motion from Lagrangian
• 1.3 Noether’s Theorem and Conservation Laws
• 1.4 Equation of Continuity from Lagrangian
• 1.5 Lorentz Force from Gauge Invariance
• References
• 2 Fundamental Equations of Engineering Electromagnetics
• 2.1 Derivation of Two‐Canonical Maxwell’s Equation
• 2.2 Derivation of Two‐Dynamical Maxwell’s Equation
• 2.3 Integral Form of Maxwell’s Equations, Continuity Equations, and Lorentz Force
• 2.4 Phasor Form of Maxwell’s Equations
• 2.5 Continuity (Interface) Conditions
• 2.6 Poynting Theorem
• 2.7 Electromagnetic Wave Equations
• 2.8 Plane Wave Propagation
• 2.9 Hertz Dipole as a Simple Radiation Source
• 2.10 Wire Antennas of Finite Length
• References
• 3 Variational Methods in Electromagnetics
• 3.1 Analytical Methods
• 3.2 Variational Basis for Numerical Methods
• References
• 4 Outline of Numerical Methods
• 4.1 Variational Basis for Numerical Methods
• 4.2 The Finite Element Method
• 4.3 The Boundary Element Method
• References
• Part II: Deterministic Modeling
• 5 Wire Configurations – Frequency Domain Analysis
• 5.1 Single Wire in the Presence of a Lossy Half‐Space
• 5.2 Horizontal Dipole Above a Multi‐layered Lossy Half‐Space
• 5.3 Wire Array Above a Multilayer
• 5.4 Wires of Arbitrary Shape Radiating Over a Layered Medium
• 5.5 Complex Power of Arbitrarily Shaped Thin Wire Radiating Above a Lossy Half‐Space
• References
• 6 Wire Configurations – Time Domain Analysis
• 6.1 Single Wire Above a Lossy Ground
• 6.2 Numerical Solution of Hallen Equation via the Galerkin–Bubnov Indirect Boundary Element Method (GB‐IBEM)
• 6.3 Application to Ground‐Penetrating Radar
• 6.4 Simplified Calculation of Specific Absorption in Human Tissue
• 6.5 Time Domain Energy Measures
• 6.6 Time Domain Analysis of Multiple Straight Wires above a Half‐Space by Means of Various Time Domain Measures
• References
• 7 Bioelectromagnetics – Exposure of Humans in GHz Frequency Range
• 7.1 Assessment of Sab in a Planar Single Layer Tissue
• 7.2 Assessment of Transmitted Power Density in a Single Layer Tissue
• 7.3 Assessment of Sab in a Multilayer Tissue Model
• 7.4 Assessment of Transmitted Power Density in the Planar Multilayer Tissue Model
• References
• 8 Multiphysics Phenomena
• 8.1 Electromagnetic‐Thermal Modeling of Human Exposure to HF Radiation
• 8.2 Magnetohydrodynamics (MHD) Models for Plasma Confinement
• 8.3 Modeling of the Schrodinger Equation
• References
• Part III: Stochastic Modeling
• 9 Methods for Stochastic Analysis
• 9.1 Uncertainty Quantification Framework
• 9.2 Stochastic Collocation Method
• 9.3 Sensitivity Analysis
• References
• 10 Stochastic–Deterministic Electromagnetic Dosimetry
• 10.1 Internal Stochastic Dosimetry for a Simple Body Model Exposed to Low‐Frequency Field
• 10.2 Internal Stochastic Dosimetry for a Simple Body Model Exposed to Electromagnetic Pulse
• 10.3 Internal Stochastic Dosimetry for a Realistic Three‐Compartment Human Head Exposed to High‐Frequency Plane Wave
• 10.4 Incident Field Stochastic Dosimetry for Base Station Antenna Radiation
• References
• 11 Stochastic–Deterministic Thermal Dosimetry
• 11.1 Stochastic Sensitivity Analysis of Bioheat Transfer Equation
• 11.2 Stochastic Thermal Dosimetry for Homogeneous Human Brain
• 11.3 Stochastic Thermal Dosimetry for Three‐Compartment Human Head
• 11.4 Stochastic Thermal Dosimetry below 6 GHz for 5G Mobile Communication Systems
• References
• 12 Stochastic–Deterministic Modeling in Biomedical Applications of Electromagnetic Fields
• 12.1 Transcranial Magnetic Stimulation
• 12.2 Transcranial Electric Stimulation
• 12.3 Neuron’s Action Potential Dynamics
• 12.4 Radiation Efficiency of Implantable Antennas
• References
• 13 Stochastic–Deterministic Modeling of Wire Configurations in Frequency and Time Domain
• 13.1 Ground‐Penetrating Radar
• 13.2 Grounding Systems
• 13.3 Air Traffic Control Systems
• References
• 14 A Note on Stochastic Modeling of Plasma Physics Phenomena
• 14.1 Tokamak Current Diffusion Equation

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Dragan Poljak,Anna Susnjara,Computational Electromagnetics,Deterministic,Stochastic Modeling