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Published: 6 September 2023

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1

Fushchich, Vilʹgelʹm Ilʹich. Symmetries of Maxwell's equations. Dordrecht [Netherlands]: D. Reidel, 1987.

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2

Tsutomu, Kitoh, ed. Introduction to optical waveguide analysis: Solving Maxwell's equations and the Schrödinger equation. New York: J. Wiley, 2001.

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3

Bécherrawy, Tamer. Electromagnetism: Maxwell equations, wave propagation, and emission. London, UK: Hoboken, NJ : John Wiley & Sons, Inc., 2012.

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4

Kawano, Kenji. Introduction to Optical Waveguide Analysis. New York: John Wiley & Sons, Ltd., 2004.

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5

Quesada-Pérez, Manuel. From Maxwell's equations to free and guided electromagnetic waves: An introduction for first-year undergraduates. New York: Novinka, 2014.

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6

Idemen, M. Mithat. Discontinuities in the electromagnetic field. Hoboken, N.J: Wiley-IEEE Press, 2011.

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7

Haq, Qureshi A., and United States. National Aeronautics and Space Administration., eds. Simulation of tunneLadder traveling-wave tube input/output coupler characteristics using MAFIA. [Washington, D.C.]: National Aeronautics and Space Administration, 1996.

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8

Harmuth, Henning F. Electromagnetic Signals: Reflection, Focusing, Distortion, and Their Practical Applications. Boston, MA: Springer US, 1999.

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9

N, Boules Raouf, and Hussain Malek G. M, eds. Electromagnetic signals: Reflection, focusing, distortion, and their practical applications. New York: Kluwer Academic/Plenum Publishers, 1999.

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10

Feynman, Richard Phillips. Quantum electrodynamics. New York: Perseus Books, 1998.

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11

Feynman, Richard Phillips. Quantum electrodynamics. Reading, MA: Addison-Wesley, 1998.

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12

John, McCormick, Parini Clive, and Institution of Engineering and Technology, eds. Principles of planar near-field antenna measurements. London: Institution of Engineering and Technology, 2007.

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13

Elements of engineering electromagnetics. 5th ed. Upper Saddle River, N.J: Prentice Hall, 2000.

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14

Rao, Nannapaneni Narayana. Elements of engineering electromagnetics. 4th ed. Englewood Cliffs, N.J: Prentice Hall, 1994.

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15

Elements of engineering electromagnetics. 6th ed. Upper Saddle River, N.J: Pearson Prentice Hall, 2004.

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16

Elements of engineering electromagnetics. 2nd ed. Englewood Cliffs: Prentice-Hall, 1987.

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17

Rao, Nannapaneni Narayana. Elements of engineering electromagnetics. 3rd ed. Englewood Cliffs, N.J: Prentice Hall, 1991.

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18

Favennec, Pierre-No¿l. Electromagnetic Waves 1: Maxwell's Equations, Wave Propagation. Wiley & Sons, Incorporated, John, 2021.

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19

Favennec, Pierre-No¿l. Electromagnetic Waves 1: Maxwell's Equations, Wave Propagation. Wiley & Sons, Incorporated, John, 2021.

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20

Favennec, Pierre-No¿l. Electromagnetic Waves 1: Maxwell's Equations, Wave Propagation. Wiley & Sons, Incorporated, John, 2021.

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21

Favennec, Pierre-No¿l. Electromagnetic Waves 1: Maxwell's Equations, Wave Propagation. Wiley & Sons, Incorporated, John, 2021.

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22

Deruelle, Nathalie, and Jean-Philippe Uzan. Electromagnetic waves. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0033.

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This chapter examines solutions to the Maxwell equations in a vacuum: monochromatic plane waves and their polarizations, plane waves, and the motion of a charge in the field of a wave (which is the principle upon which particle detection is based). A plane wave is a solution of the vacuum Maxwell equations which depends on only one of the Cartesian spatial coordinates. The monochromatic plane waves form a basis (in the sense of distributions, because they are not square-integrable) in which any solution of the vacuum Maxwell equations can be expanded. The chapter concludes by giving the conditions for the geometrical optics limit. It also establishes the connection between electromagnetic waves and the kinematic description of light discussed in Book 1.

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23

Fushchich, W. I., and A. G. Nikitin. Symmetries of Maxwell's Equations. Springer, 2011.

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24

Fleisch, Daniel. Student's Guide to Maxwell's Equations. Cambridge University Press, 2012.

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25

Fleisch, Daniel. Student's Guide to Maxwell's Equations. Cambridge University Press, 2008.

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26

Mann, Peter. Hamiltonian Field Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0026.

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This chapter discusses classical electromagnetism. As an example of a classical field theory, electrodynamics is framed using a Lagrangian density. Until pioneers such as Faraday and Maxwell, electric vector fields and magnetic vector fields were regarded as separate phenomena entirely and it was only in the late nineteenth century that scientists saw them as components of a larger concept, the electromagnetic field. Maxwell’s equations are derived and the wave equations are revisited. The chapter discusses gauge fixing, the Hodge star, the Lorentz force law and molecular multipole moments and closes by defining the electromagnetic tensor and the Minkowski metric tensor.

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27

Becherrawy, Tamer. Electromagnetism: Maxwell Equations, Wave Propagation and Emission. Wiley & Sons, Incorporated, John, 2013.

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28

Becherrawy, Tamer. Electromagnetism: Maxwell Equations, Wave Propagation and Emission. Wiley & Sons, Incorporated, John, 2012.

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29

Becherrawy, Tamer. Electromagnetism: Maxwell Equations, Wave Propagation and Emission. Wiley & Sons, Incorporated, John, 2012.

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30

Becherrawy, Tamer. Electromagnetism: Maxwell Equations, Wave Propagation and Emission. Wiley & Sons, Incorporated, John, 2012.

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31

Becherrawy, Tamer. Electromagnetism: Maxwell Equations, Wave Propagation and Emission. Wiley & Sons, Incorporated, John, 2012.

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32

Fleisch, Daniel. A Student's Guide to Maxwell's Equations. Cambridge University Press, 2008.

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33

A Student's Guide to Maxwell's Equations. Cambridge University Press, 2008.

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34

A Student's Guide to Maxwell's Equations. Cambridge University Press, 2008.

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35

Bounded error schemes for the wave equation on complex domains. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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36

Fushchich, W. I., and A. G. Nikitin. Symmetries of Maxwell's Equations (Mathematics and its Applications). Springer, 1987.

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37

Kawano, Kenji, and Tsutomu Kitoh. Introduction to Optical Waveguide Analysis: Solving Maxwell's Equation and the Schrdinger Equation. Wiley-Interscience, 2001.

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38

Kawano, Kenji, and Tsutomu Kitoh. Introduction to Optical Waveguide Analysis: Solving Maxwell's Equation and the Schrödinger Equation. Wiley & Sons, Limited, John, 2002.

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39

Kawano, Kenji, and Tsutomu Kitoh. Introduction to Optical Waveguide Analysis: Solving Maxwell's Equation and the Schrödinger Equation. Wiley & Sons, Incorporated, John, 2007.

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40

Ergul, Ozgur. Introduction to Electromagnetic Waves with Maxwell's Equations. Wiley & Sons, Incorporated, John, 2021.

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41

Ergul, Ozgur. Introduction to Electromagnetic Waves with Maxwell's Equations. Wiley & Sons, Limited, John, 2021.

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42

Ergul, Ozgur. Introduction to Electromagnetic Waves with Maxwell's Equations. Wiley & Sons, Limited, John, 2021.

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43

Ergul, Ozgur. Introduction to Electromagnetic Waves with Maxwell's Equations. Wiley & Sons, Incorporated, John, 2021.

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44

Bateman, H. Mathematical Analysis of Electrical and Optical Wave-Motion: On the Basis of Maxwell's Equations. Cambridge University Press, 2016.

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45

Acoustic and Electromagnetic Equations. Springer, 2001.

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46

Nedelec, Jean-Claude. Acoustic and Electromagnetic Equations: Integral Representations For Harmonic Problems. Springer, 2010.

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47

Nedelec, Jean-Claude. Acoustic and Electromagnetic Equations: Integral Representations for Harmonic Problems. Springer London, Limited, 2013.

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48

Oscillations and Waves: Versatility of Maxwell Equations (Series on Optimization). World Scientific Publishing Company, 2008.

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49

Wolf, E. L. Solar Radiation through the Atmosphere. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198769804.003.0003.

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Maxwell’s equations describe radiated power from the Sun through space and the atmosphere to the Earth. Black-body radiation arises from matter in thermal equilibrium, as is derived in this chapter. The Stefan–Boltzmann power law is derived, and its consequences are discussed. Basics of the atmosphere are discussed, including kinetic energy arising from the condensation of water vapor to liquid water. The temperatures in the atmosphere are discussed in a layered model. The Sun’s light arrives at Earth through vacuum and the Earth’s atmosphere as electromagnetic waves described by Maxwell’s equations. In contemporary electrical engineering jargon, this is “wireless”, that connects cellphones.

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50

Deruelle, Nathalie, and Jean-Philippe Uzan. Waves in a medium. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0034.

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This chapter uses a phenomenological approach to obtain a ‘mean’ or macroscopic description of electromagnetic phenomena inside matter. The electromagnetic field inside a medium induces charge and current distributions called polarization. These are the response of the matter to the field. The charge and current densities can be decomposed into the sum of free densities (that is, imposed from outside the medium, and which create the field) and induced densities. The matching conditions on the electromagnetic field at the interface between two different media (for example, a pair of lenses) can be obtained from the macroscopic Maxwell equations with the use of the Gauss and Stokes theorems.

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