electromagnetic theory

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1: 6.17 Physical Applications

§6.17 Physical Applications

… ►Lebedev (1965) gives an application to electromagnetic theory (radiation of a linear half-wave oscillator), in which sine and cosine integrals are used.

2: 9.16 Physical Applications

… ►Extensive use is made of Airy functions in investigations in the theory of electromagnetic diffraction and radiowave propagation (Fock (1965)). …

3: Bibliography J

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The Theory of Electromagnetism. International Series of Monographs on Pure and Applied Mathematics, Vol. 47. A Pergamon Press Book, The Macmillan Co., New York.

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External Links:

MathReview (W. E. Williams), ZentralBlatt

Referenced by:

§23.21(iii).

Encodings:

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4: Bibliography B

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Electromagnetic Fields and Interactions. Vol. I, Blaisdell, New York.

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Notes:

Replaces Abraham & Becker, Classical Theory of Electricity and Magnetism.

Referenced by:

§19.33(iii), §19.34.

Encodings:

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Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light. 7th edition, Cambridge University Press, Cambridge.

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External Links:

ISBN 0-521-64222-1

Referenced by:

§7.21.

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5: Bibliography C

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Inverse Acoustic and Electromagnetic Scattering Theory. 2nd edition, Applied Mathematical Sciences, Vol. 93, Springer-Verlag, Berlin.

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External Links:

ISBN 3-540-62838-X, MathReview, ZentralBlatt

Referenced by:

§10.73(i).

Encodings:

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6: 25.17 Physical Applications

… ►Quantum field theory often encounters formally divergent sums that need to be evaluated by a process of regularization: for example, the energy of the electromagnetic vacuum in a confined space (Casimir–Polder effect). …

7: 10.73 Physical Applications

… ►This equation governs problems in acoustic and electromagnetic wave propagation. …It is fundamental in the study of electromagnetic wave transmission. … ► … ►

§10.73(ii) Spherical Bessel Functions

… ►Accordingly, the spherical Bessel functions appear in all problems in three dimensions with spherical symmetry involving the scattering of electromagnetic radiation. …

8: Bibliography K

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Replica field theories, Painlevé transcendents, and exact correlation functions. Phys. Rev. Lett. 89 (25), pp. (250201–1)–(250201–4).

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External Links:

ISSN 0031-9007, Document, MathReview, ZentralBlatt

Referenced by:

§32.16.

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The Scattering of Light and Other Electromagnetic Radiation. Academic Press, New York.

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External Links:

ISBN 0-12-404550-2

Referenced by:

§10.73(i).

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Neue Untersuchungen einer Reihe aus der Theorie der elliptischen Funktionen. Journal für die Reine und Angenwandte Mathematik 158, pp. 209–218 (German).

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External Links:

ZentralBlatt

Referenced by:

§19.5.

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Electromagnetic eigenfrequencies in a spheroidal cavity (calculation by spheroidal eigenvectors). J. Electromagn. Waves Appl. 12 (12), pp. 1601–1624.

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External Links:

ISSN 0920-5071, Document, MathReview, ZentralBlatt

Referenced by:

§30.14(v).

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Electromagnetic Fields and Relativistic Particles. International Series in Pure and Applied Physics, McGraw-Hill Book Co., New York.

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External Links:

ISBN 0-07-035264-X, MathReview (George Zipfel, Jr.)

Referenced by:

§1.17(ii), §10.73(ii).

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9: 28.33 Physical Applications

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McLachlan (1947, Chapters XVI–XIX) for applications of the wave equation to vibrational systems, electrical and thermal diffusion, electromagnetic wave guides, elliptical cylinders in viscous fluids, and diffraction of sound and electromagnetic waves.

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Meixner and Schäfke (1954, §§4.3, 4.4) for elliptic membranes and electromagnetic waves.

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Alhargan and Judah (1992), Germey (1964), Ragheb et al. (1991), and Sips (1967) for electromagnetic waves.

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Aly et al. (1975) for scattering theory.

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Fukui and Horiguchi (1992) for quantum theory.

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10: Bibliography S

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The Laplace Transform: Theory and Applications. Undergraduate Texts in Mathematics, Springer-Verlag, New York.

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External Links:

ISBN 0-387-98698-7, MathReview (Philip Heywood), ZentralBlatt

Referenced by:

§1.14(iii), §1.14(vii).

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Quantum defect theory. Rep. Prog. Phys. 46 (2), pp. 167–257.

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External Links:

Document

Referenced by:

§33.14(i), §33.22(ii).

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Practical Extrapolation Methods: Theory and Applications. Cambridge Monographs on Applied and Computational Mathematics, Vol. 10, Cambridge University Press, Cambridge.

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External Links:

ISBN 0-521-66159-5, MathReview (Thomas A. Atchison), ZentralBlatt

Referenced by:

§3.9(vi).

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Über die analytische Theorie der quadratischen Formen. Ann. of Math. (2) 36 (3), pp. 527–606.

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External Links:

ISSN 0003-486X, FullText, MathReview Entry, ZentralBlatt

Referenced by:

§35.2.

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An Introduction to Classical Electromagnetic Radiation. Cambridge University Press, Cambridge-New York.

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External Links:

ISBN 0-521-58093-5;0-521-58698-4

Referenced by:

§10.73(i).

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