An analytic continuation method for the analysis and design of dispersive materials

IEEE Transactions on Antennas and Propagation

Volumn 45, Issue 11, 1997, Pages 1602-1610

  Díaz, Rodolfo E ^a,b   Alexopoulos, Nicolaos G ^c  

^a Hexcel APD   (United States)

^b NORTHROP GRUMMAN CORPORATION   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Dispersive media

Indexed keywords

DIELECTRIC MATERIALS; ELECTROMAGNETIC WAVE POLARIZATION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PERMITTIVITY;

DEBYE RELAXATION MODELS; DISPERSIVE MATERIALS; HILBERT TRANSFORM; LORENTZ RESONANCE MODELS;

ELECTROMAGNETIC DISPERSION;

EID: 0031274468     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/8.650071     Document Type: Article

References (26)

1. E. T. Whittaker, A History of the Theories of Aether and Electricity. New York: Dover, 1989.
2. A. Von Hippel, Dielectrics and Waves. New York: Wiley, 1954, p. 178.
3. J. B. Hasted, Aqueous Dielectrics. London, U.K.: Chapman and Hall, 1973, p. 61.
4. J. S. TollCausality and the dispersion relation: Logical foundations Phys. Rev., vol. 104, pp. 1760-1770, 1956.
5. E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals. Oxford, U.K.: Clarendon, 1967, p. 128.
6. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media. New York: Pergamon, 1960, pp. 249-268.
7. , Statistical Physics. New York: Pergamon, 1977, sect. 125, pp. 387-389.
8. J. D. Jackson, Classical Electrodynamics. New York: Wiley, 1975, p. 311.
9. K. E. Oughston, J. E. K. Laurens, and C. M. BalictsisAsymptotic description of electromagnetic pulse propagation in a linear dispersive medium H. L. Bertoni, L. Carin, L. B. Felsen, Eds., Ultra-Wideband Short-Pulse Electromagnetics. New York: Plenum, 1993, pp. 223-240.
10. L. Brillouin, Wave Propagation and Group Velocity. New York: Aca-demic, 1960.
11. F. A. GrantUse of complex conductivity in the representation of dielectric phenomena J. Appl. Phys., vol. 29, pp. 76-80, 1958.
12. T. T. WuSome properties of impedance as a causal operator J. Math. Phys., vol. 3, no. 2, pp. 262-271, Mar./Apr. 1962.
13. J. M. Ziman, Principles of the Theory of Solids. Cambridge, U.K.: Cambridge Univ. Press, 1972, pp. 260-266.
14. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles. New York: Wiley, 1983, ch. 9.
15. M. Altarelli, D. L. Dexter, H. M. Nussenzveig, and D. Y. SmithSuperconvergence and sum rules for the optical constants Phys. Rev. B, vol. 6, no. 12, pp. 4502509, 1972.
16. E. C. Titchmarsh, The Theory of Functions. London, U.K.: Oxford Univ. Press, 1964, sect. 2.71-2.72, pp. 91-94.
17. R. E. Di'azThe analytic continuation method for the analysis and design of dispersive materials Univ. California, Los Angeles, Ph.D. dissertation, 1992.
18. N. G. Alexopoulos and R. E. Di'azToward a unified analytic model of dispersive materials in Int. Radio Sei. Union Meet. Abstracts, Ann Arbor, MI, June 28-July 2, 1993, p. 318.
19. A procedure for developing compact models of materials for numerical electromagnetics in Int. Radio Sei. Union Meet. Abstracts, Ann Arbor, MI, June 28-July 2, 1993, p. 264.
20. On the use of synthetic dielectrics in electromagnetic engineering applications in Proc. 3rd Int. Conf. Electromagn. Aerosp. Applicat., Torino, Italy, Oct. 1993, pp. 275-278.
21. R. E. Di'az and N. G. AlexopoulosThe application of the analytic continuation model of dispersive materials to electromagnetic engineering Electromagn., to be published.
22. L. H. Dawson and E. O. HulburtThe absorption of ultraviolet and visible light by water J. Opt. Soc. Amer., vol. 24, pp. 175-177, 1934.
23. J. G. Bayly, V. B. Kartha, and W. H. StevensThe absorption spectra of liquid phase H2O, HDO, and D2O from 0.7-10 mm Infrared Phys., vol. 3, pp. 211-222, 1963.
24. N. E. Dorsey, Properties of Ordinary Water-Substance. New York: Hafner, 1968, pp. 124-149, 278-289, 324-331, 350-373.
25. S. Desgreniers, Y. Vohra, and A. RuoffOptical response of very high density solid oxygen to 132 GPa J. Phys. Chem., vol. 94, pp. 1117-1122, 1990.
26. A. P. Vinogradov, A. A. Kalachev, A. N. Lagarkov, V. A. Romanenko, and G. V. KazantsevaSpatial dispersion effects in composite materials for microwaves Rep. l (2176V0005-35), Scientific Ctr. Appl. Problems Electrodynam., SA IVTAN, Russian Acad. Sei., Izhorskaja, Moscow, Russia, 1995.