Vol. 06
Latest Volume
All Volumes
PIER 185 [2026] PIER 184 [2025] PIER 183 [2025] PIER 182 [2025] PIER 181 [2024] PIER 180 [2024] PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
Mixture Laws and Microwave-Material Interactions
By
, Vol. 06, 1-40, 1992
Abstract
Citation
W. R. Tinga, "Mixture Laws and Microwave-Material Interactions," , Vol. 06, 1-40, 1992.
doi:10.2528/PIER90010300
References

1. Maxwell, J. C., A Treatise on Electricity and Magnetism, 1, 2 3rd ed. 1891, Dover Publication Inc., 1954.

2. Van Beek, L. K. H., "Dielectric behavior of heterogeneous systems," Progress in Dielectrics, Vol. 7, 69-114, Heywood and Company Ltd., London, 1967.        Google Scholar

3. Tinga, W. R., "Multiphase Dielectric Theory-Applied to Cellulose Mixtures,", Ph.D. Thesis, University of Alberta, Edmonton, Alberta, Canada, 1969.        Google Scholar

4. Tinga, W. R., W. A. G. Voss, and D. F. Blossey, "Generalized approach to multiphase dielectric mixture theory," J. of Appl. Phys., Vol. 44, No. 9, 3897-3902, 1973.        Google Scholar

5. Sihvola, A., "Analysis of Microwave Structures and Mixing Formulae with Application to Remote Sensing Measurements,", Ph.D. Thesis, Helsinki University of Technology, 1986.        Google Scholar

6. Sihvola, A. and J. A. Kong, "Effective permittivity of dielectric mixtures," IEEE Trans. GE, Vol. 26, No. 4, 420-429, 1988.        Google Scholar

7. De Loor, G. P., "Dielectric Properties of Heterogeneous Mixtures,", Ph.D. Thesis, Leiden, The Netherlands, 1956.        Google Scholar

8. Kraszewski, A., "Prediction of the dielectric properties of two-phase mixtures," J. Microwave Power, Vol. 12, 215-222, 1977.        Google Scholar

9. Sihvola, A., , see elsewhere in this book.

10. Varadan, V. K., Y. Ma, A. Lahktakia, and V. V. Varadan, "Microwave sintering of ceramics," Mat. Res. Soc. Symp. Proc., Vol. 124, 45-57, 1988.        Google Scholar

11. Böttcher, C. J. F., Theory of Electric PoIarisation, Elsevier Publishing Co., New York, 1952.

12. Yaghjian, A. D., "Electric dyadic Green's Functions in the source region," Proc. IEEE, Vol. 68, No. 2, 248-263, 1980.        Google Scholar

13. Lord Rayleigh "On the influence of obstacles arranged in rectangular order upon the properties of a medium," Philosophical Magazine, Vol. 32, 481-502, 1892.        Google Scholar

14. Cohen, R. W., G. D. Cody, M. D. Coutts, and B. Abele, "Optical properties of granular silver and gold films," Phys. Rev. B, Vol. 8, No. 8, 3689-3701, 1973.        Google Scholar

15. Wiener, O., Abh. Math. Phys. Kl. Sachs Akad. Wiss., Leipzig, 32, 509, 1912.

16. Bruggeman, D. A. G., "Berechnung Verschiedener Physikalischer Konstanten von Heterogenen Substanzen," Annalen der Physik, Vol. 24, 636-644, 1935.        Google Scholar

17. Niesel, W., Ann. Phys., (Leipz.) 10, 336, 1952.

18. Looyenga, H., "Dielectric constants of mixtures," Physica, Vol. 321, 401-406, 1965.        Google Scholar

19. Wait, J. R., Electromagnetic Wave Theory, Harper and Row, Ch. 2, 54-75, 1985.

20. Stroud, D., "Generalized effective-medium approach to the conductivity of an inhomogeneous material," Phys. Rev. B, Vol. 12, No. 8, 3368-3373, 1975.        Google Scholar

21. Brown, W. F., Jr., "Solid mixture permittivities," J. of Chemical Physics, Vol. 23, No. 8, 1514-1517, 1955.        Google Scholar

2. Nelson, S. O., "Method for determining dielectric properties of solids from measurements on pulverized materials," 1987 IEEE MTT-S Int. Microwave Symp. Digest, Vol. 1, 461-463, 1987.        Google Scholar

23. Nelson, S. O., , see chapter in this book.

24. Lewin, L., "The electrical constants of a material loaded with spherical particles," Proc. IEE, Vol. 94, Part 3, 65-68, 1947.        Google Scholar

25. Lichtenecker, K., Kolloid-Beih., Vol. 23, 285, 1926.

26. Onsager, L., J., Amer. Chem. Soc., Vol. 58, 1486, 1936.        Google Scholar

27. Polder, D. and J. H. van Santen, "The effective permeability of mixtures and solids," Physica XII, Vol. 5, 257-271, 1946.        Google Scholar

28. Taylor, L. S., "Dielectrics loaded with anisotropic materials," IEEE Trans. AP, Vol. 14, 669-670, 1966.        Google Scholar

29. Korneenko, I. A., "Mean values of the parameters in inhomogeneous media," Soviet Physics --- Technical Physics, Vol. 5, 40, 1960.        Google Scholar

30. Frandck, V., "On the penetration of a static homogeneous field in an anisotropic medium into an ellipsoidal inclusion consisting of another anisotropic medium," Symp. on Electromagnetic Theory and Antennas, 615-623, Oxford Pergamon, London, 1962.        Google Scholar

31. Kirkwood, J. G., "On the theory of dielectric polarization," J. of Chemical Physics, Vol. 4, 592-601, 1936.        Google Scholar

32. Tsang, L. and J. A. Kong, "Scattering of electromagnetic waves from random media with strong permittivity fluctuations," Radio Science, Vol. 16, No. 3, 303-320, 1981.        Google Scholar

33. Sheng, P., Phys. Rev. Lett., Vol. 45, 60, 1980.        Google Scholar

34. Collin, R. E., Foundations of Microwave Engineering, McGraw Hill, 1966.

35. Thiebaut, J. M., J. F. Rochas, M. Manoury, and G. Roussy, "Control of the fields and hysteresis heating process in a microwave resonant applicator," J. of Microwave Power, Vol. 17, No. 3, 187-194, 1982.        Google Scholar

36. The Essentials of Heat Transfer I, Research and Education Association, New York, 1987.

37. Meek, T. T., "Proposed model for the sintering of a dielectric in a microwave field," J. Mat. Science Letters, No. 6, 638-640, 1987.        Google Scholar

38. Meek, T. T., "Ceramic-Ceramic seals by microwave heating," J. Mat. Science Letters, No. 5, 270-274, 1986.        Google Scholar

39. Palaith, D., R. Silberglitt, C. C. M. Wu, R. Kleiner, and E. L. Libelo, "Microwave joining of ceramics," Mat. Res. Soc. Symp. Proc., No. 24, 255-266, 1988.        Google Scholar

40. Watters, D. G., M. E. Brodwin, and G. A. Kriegsman, "Dynamic temperature profiles for a uniformly illuminated planar surface," Mat. Res. Soc. Symp. Proc., No. 24, 129-134, 1988.        Google Scholar

41. Bosman, A. J. and E. E. Havinga, "Temperature dependence of Dielectric constants of cubic ionic compounds," Physical Review, Vol. 129, No. 4, 1593-1600, 1963.        Google Scholar

42. Ho, W. W., "High-temperature dielectric properties of polycrystallhe ceramics," Materials Research Society, 1988 Symp. Proc. Microwave Pmessing of Materials, Vol. 124, 137-148, 1988.        Google Scholar

43. Tinga, W. R., "Microwave dielectric constants of metal oxides at high temperatures: Part I," Electromagnetic Energy Reviews, Vol. 1, No. 5, 1-6, 1988.        Google Scholar

44. Tinga, W. R., "Microwave dielectric constants of metal oxides at high temperatures: Part II," Electromagnetic Energy Reviews, Vol. 2, No. 1, 1-6, 1989.        Google Scholar

45. Westphal, W. B. and A. Sils, "Dielectric Constants and Loss Data,", Airforce Materials Laboratory, Wright Patterson Airforce Base, Ohio, Techn. Rept. AFML-TR-72-39, 1972.        Google Scholar

46. Bartnikas, R. and R. M. Eichhorn, "Engineering Dielectrics, Volume IIA, Electrical Properties of Solid Insulating Materials: Molecular Structure and Electrical Behavior," ASTM Special Techn. Publication, 783, March 1983.        Google Scholar

47. Frost, H. M., "Capability for Measuring Millimeter-Wave Dielectric Properties in Free Space and at Elevated Temperatures,", DOE DAFS/ADIP/SPM Semi-annual Progress Report on Fusion Reactor Materials, Los Alamos National Laboratory (LA-UR-86-4226), 1986.        Google Scholar

48. Frost, H. M., "Dielectric properties of ceramics," Materials Science and Technology Review, 1986.        Google Scholar

49. Bosisio, R. G., R. Dallaire, and P. Phromothansy, "A non contact temperature monitor for the automatic control of microwave ovens," J. of Microwave Power, Vol. 12, No. 4, 309-317, 1977.        Google Scholar

50. Araneta, J. C., M. Brodwin, and G. E. Kriegsmann, "High-ternperature microwave characterization of dielectric rods," IEEE Trans., Vol. 32, No. 10, 1328-1335, 1984.        Google Scholar

51. Wong, D. K., "Microwave Dielectric Constants of Metal Oxides at High Temperatures,", M.Sc. Thesis, University of Alberta, Edmonton, Canada, 1975.        Google Scholar

52. Gibson, C., I. Mathews, and A. Samuel, "Microwave enhanced diffusion in polymeric materials," J. of Microwave Power and Electromagnetic Energy, Vol. 23, No. 1, 17-28, 1988.        Google Scholar

53. Janney, M. A., H. D. Kimrey, and M. A. Schmidt, "Grain growth in microwave-annealed alumina,", American Ceramics Society, 99th Annual Meeting Symp. IX: Symp. on Microwave Processing of Ceramics, April 1989.        Google Scholar

54. McDonald, A. A., Microwave Breakdown in Gases, Wiley, 1966.

55. Johnson, D. L. and M. E. Brodwin, , EPRI Research Project 2730-01, Interim Report, March 1987.        Google Scholar

56. Ishii, T. K., "Theoretical analysis of arcing structure in microwave ovens," J. of Microwave Power, Vol. 18, No. 4, 337-344, 1983.        Google Scholar

57. Asmussen, J. and R. Garard, "Precision microwave applicators and systems for plasma and material processing," Mat. Res. Soc. Symp. Proc., Vol. 124, 347-352, 1988.        Google Scholar

58. Salsman, J. B. and R. H. Church, "The rapid formation of tungsten carbide in a microwave induced plasma,", American Ceramics Society, 99th Annual Meeting Symp. IX: Syrnp. on Microwave Processing of Ceramics, April 1989.        Google Scholar