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Electromagnetic Field of a Dipole Source above a Grounded Dielectric Slab
1.B. Van der Pol and H. Bremmer, Phil. Mag. 24, 825 (1937).
1.See also J. A. Stratton, Electromagnetic Theory (McGraw‐Hill Book Company, Inc., New York, 1941), p. 590, ex. 12,
1.or S. A. Schelkunoff, Electromagnetic Waves (D. Van Nostrand Company, Inc., New York, 1943), p. 428.
2.C. T. Tai, J. Appl. Phys. 22, 405 (1951).
3.S. S. Attwood, J. Appl. Phys. 22, 504 (1951).
4.R. M. Whitmer, Proc. Inst. Radio Engrs. 36, 1105 (1948).
5.J. A. Stratton, reference 1, Chapters 6, 7.
5.S. A. Schelkunoff, reference 1, p. 410.
6.A. Sommerfeld, Ann. Physik 28, 665 (1909).
7.J. A. Stratton, reference 1, p. 430.
8.H. Ott, Ann. Physik 41, 443 (1942);
8.H. Ott, 43, 393 (1943)., Ann. Phys.
9.B. L. Van der Waerden, Appl. Sci. Research B2, 1, 33 (1951).
10.A. Sommerfeld, Partial Differential Equations in Physics, translation by E. Straus (Academic Press, Inc., New York, 1949), p. 254.
11.For example, E. C. Jordan, Electromagnetic Waves and Radiating Systems (Prentice‐Hall, Inc., New York, 1950), p. 305. From those expressions of fields and from Eqs. (27)–(29) the following interesting relations are obtained as an extension to Sommerfeld’s formula: , , , where In the saddle‐point method, taking the value the integrals due to the reflection terms in (27)–(29) then can be evaluated by the foregoing formulas. However, the terms involving do not give a complete higher‐order solution because only the first term of ’s expansion at has been considered.
12.During the time when this paper was being prepared for publication the author was informed that extensive calculations on this problem have been done by Donald B. Brick of Cruft Laboratory in “The Radiation of a Hertzian Dipole over a Coated Conductor,” Tech. Rept. No. 172, Cruft Laboratory, Harvard University, May, 1953. The author wishes to refer the readers to this report for further information.
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