Physical bounds and sum rules for high-impedance surfaces

IEEE Transactions on Antennas and Propagation

Volumn 59, Issue 6 PART 2, 2011, Pages 2196-2204

  Gustafsson, Mats ^a   Sjoberg, Daniel ^a  

^a LUND UNIVERSITY   (Sweden)

Author keywords

Herglotz function; High impedance surface; physical bounds; sum rule

Indexed keywords

ARTIFICIAL SURFACES; FREQUENCY INTERVALS; GROUND PLANES; HERGLOTZ FUNCTION; HIGH IMPEDANCE; HIGH IMPEDANCE SURFACE; NUMERICAL EXAMPLE; PHYSICAL BOUNDS; SHORT CIRCUIT; SUM RULE;

ELECTRIC FIELDS; HIGH ENERGY PHYSICS;

PERIODIC STRUCTURES;

EID: 79957972582     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2011.2143688     Document Type: Article

References (28)

1. D. Sievenpiper, L. Zhang, R. F. J. Broas, and N. G. Alexopolous, "High impedance electromagnetic surfaces with a forbidden frequency band", IEEE Trans. Microwave Theory Tech., vol. 47, no. 11, pp. 2059-2074, 1999.
2. D. F. Sievenpiper, "Artificial impedance surfaces for antennas", in Modern Antenna Handbook, C. A. Balanis, Ed. New York: Wiley-Interscience, 2008, pp. 737-778.
3. C. R. Simovski, M. E. Ermutlu, A. A. Sochava, and S. A. Tretyakov, "Magnetic properties of novel high impedance surfaces", IET Microw., Antennas Propag., vol. 1, no. 1, pp. 190-197, 2007.
4. A. Bernland, A. Luger, and M. Gustafsson, "Sum Rules and Constraints on Passive Systems", J. Phys. A, Math. Theor., vol. 44, no. 14, p. 145205-, 2011.
5. R. M. Fano, "Theoretical limitations on the broadband matching of arbitrary impedances", J. Franklin Inst., vol. 249, no. 1, 2, pp. 57-83 and 139-154, 1950.
6. K. N. Rozanov, "Ultimate thickness to bandwidth ratio of radar absorbers", IEEE Trans. Antennas Propag., vol. 48, no. 8, pp. 1230-1234, Aug. 2000.
7. C. Sohl, M. Gustafsson, and G. Kristensson, "Physical limitations on broadband scattering by heterogeneous obstacles", J. Phys. A: Math. Theor., vol. 40, pp. 11 165-11 182, 2007.
8. M. Gustafsson, C. Sohl, and G. Kristensson, "Illustrations of new physical bounds on linearly polarized antennas", IEEE Trans. Antennas Propag., vol. 57, no. 5, pp. 1319-1327, May 2009.
9. M. Gustafsson, "Sum rules for lossless antennas", IET Microw., Antennas Propag., vol. 4, no. 4, pp. 501-511, 2010.
10. M. Gustafsson, "Sum rule for the transmission cross section of apertures in thin opaque screens", Opt. Lett., vol. 34, no. 13, pp. 2003-2005, 2009.
11. M. Gustafsson, C. Sohl, C. Larsson, and D. Sjöberg, "Physical bounds on the all-spectrum transmission through periodic arrays", EPL Europhys. Lett., vol. 87, no. 3, p. 34002, 2009, (6 pp).
12. M. Gustafsson and D. Sjöberg, "Sum rules and physical bounds on passive metamaterials", New J. Phys., vol. 12, p. 043046, 2010.
13. C. R. Brewitt-Taylor, "Limitation on the bandwidth of artificial perfect magnetic conductor surfaces", IET Microw., Antennas Propag., vol. 1, no. 1, pp. 255-260, 2007.
14. M. F. Samani and R. Safian, "On bandwidth limitation and operating frequency in artificial magnetic conductors", IEEE Antennas Wireless Propag. Lett., vol. 9, pp. 228-231, 2010.
15. M. Gustafsson, "Time-domain approach to the forward scattering sum rule", Proc. R. Soc. A, vol. 466, pp. 3579-3592, 2010.
16. C. Sohl, C. Larsson, M. Gustafsson, and G. Kristensson, "A scattering and absorption identity for metamaterials: Experimental results and comparison with theory", J. Appl. Phys., vol. 103, no. 5, p. 054906, 2008.
17. C. Kittel, Introduction to Solid State Physics, 7th ed. New York: Wiley, 1996.
18. B. Munk, Frequency Selective Surfaces: Theory and Design. New York: Wiley, 2000.
19. E. A. Guillemin, The Mathematics of Circuit Analysis. Cambridge, MA: MIT Press, 1949.
20. A. H. Zemanian, Distribution Theory and Transform Analysis: An Introduction to Generalized Functions, with Applications. New York: Dover Publications, 1987.
21. D. Sjöberg, "Low frequency scattering by passive periodic structures for oblique incidence: Low pass case", J. Phys. A: Math. Theor., vol. 42, p. 385402, 2009.
22. D. Sjöberg, "Variational principles for the static electric and magnetic polarizabilities of anisotropic media with perfect electric conductor inclusions", J. Phys. A: Math. Theor., vol. 42, p. 335403, 2009.
23. R. E. Collin, Field Theory of Guided Waves, 2nd ed. New York: IEEE Press, 1991.
24. R. E. Kleinman and T. B. A. Senior, "Rayleigh scattering", in Low and High Frequency Asymptotics, ser. Handbook on Acoustic, Electromagnetic and Elastic Wave Scattering, V. V. Varadan and V. K. Varadan, Eds. Amsterdam: Elsevier Science Publishers, 1986, vol. 2, ch. 1, pp. 1-70.
25. D. S. Jones, "Scattering by inhomogeneous dielectric particles", Quart. J. Mech. Appl. Math., vol. 38, pp. 135-155, 1985.
26. P. S. Kildal and A. Kishk, "EM modeling of surfaces with STOP or GO characteristics-Artificial magnetic conductors and soft and hard surfaces", Appl. Comput. Electromagn. Soc. J., vol. 18, no. 1, pp. 32-40, Mar. 2003.
27. K. P. Ma, K. Hirose, F. R. Yang, Y. Qian, and T. Itoh, "Realisation of magnetic conducting surface using novel photonic bandgap structure", Electron. Lett., vol. 34, no. 21, pp. 2041-2042, 1998. (Pubitemid 128561329)
28. J. van Bladel, Electromagnetic Fields, 2nd ed. Piscataway, NJ: IEEE Press, 2007.