Time-domain approach to the forward scattering sum rule

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 466, Issue 2124, 2010, Pages 3579-3592

  Gustafsson, Mats ^a  

^a LUND UNIVERSITY   (Sweden)

Author keywords

Dispersion; Forward scattering; Physical bounds; Sum rule

Indexed keywords

ANTENNAS; DISPERSION (WAVES); ELECTROMAGNETIC FIELDS; FOURIER TRANSFORMS; HIGH ENERGY PHYSICS; IMPULSE RESPONSE; LIGHT SCATTERING;

ANTENNA BANDWIDTH; CONVOLUTION OPERATORS; DIRECTIVITY; ENERGY TRANSMISSION; EXTINCTION CROSS SECTION; FREE SPACE; INTEGRAL IDENTITIES; LINEARLY POLARIZED; PHYSICAL BOUNDS; POLARIZABILITIES; SCATTERED FIELD; SCATTERING OBJECTS; SUBWAVELENGTH APERTURES; SUM RULE; TIME DOMAIN; TIME-DOMAIN APPROACH;

FORWARD SCATTERING;

EID: 78649933381     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2009.0680     Document Type: Conference Paper

References (31)

1. Alù, A. & Engheta, N. 2008 Theory and potentials of multi-layered plasmonic covers for multifrequency cloaking. New J. Phys. 10, 115036. (doi:10.1088/1367-2630%2F10%2F11%2F115036)
2. Bernland, A., Luger, A. & Gustafsson, M. 2010 Sum rules and constraints on passive systems. Technical Report LUTEDX/(TEAT-7193)/1-28/(2010), Lund University, Department of Electrical and Information Technology, Lund, Sweden. See http://www.eit.lth.se.
3. de Hoop, A. T. 1984 A time domain energy theorem for scattering of plane electromagnetic waves. Radio Sci. 19, 1179-1184. (doi:10.1029/RS019i005p01179)
4. Derneryd, A., Gustafsson, M., Kristensson, G. & Sohl, C. 2009 Application of gain-bandwidth bounds on loaded dipoles. IET Microwaves Antennas Propag. 3, 959-966.
5. Donoghue Jr, W. F. 1969 Distributions and Fourier transforms. New York, NY: Academic Press.
6. Evans, L. C. 1998 Partial differential equations. Providence, RI: American Mathematical Society.
7. Fano, R. M. 1950 Theoretical limitations on the broadband matching of arbitrary impedances. J. Franklin Inst. 249, 57-83 and 139-154. (doi:10.1016/0016-0032%2850%2990006-8)
8. Guillemin, E. A. 1949 The mathematics of circuit analysis. Cambridge, MA: MIT Press.
9. Gustafsson, M. 2003 On the non-uniqueness of the electromagnetic instantaneous response. J. Phys. A 36, 1743-1758. (doi:10.1088/0305- 4470%2F36%2F6%2F317)
10. Gustafsson, M. 2009 Sum rule for the transmission cross section of apertures in thin opaque screens. Opt. Lett. 34, 2003-2005. (doi:10.1364/OL.34. 002003)
11. Gustafsson, M., Sohl, C. & Kristensson, G. 2007 Physical limitations on antennas of arbitrary shape. Proc. R. Soc. A 463, 2589-2607. (doi:10.1098/rspa.2007.1893)
12. Gustafsson, M., Sohl, C. & Kristensson, G. 2009 Illustrations of new physical bounds on linearly polarized antennas. IEEE Trans. Antennas Propag. 57, 1319-1327. (doi:10.1109/TAP. 2009.2016683)
13. Jackson, J. D. 1975 Classical electrodynamics, 2nd edn. New York, NY: Wiley.
14. Jones, D. S. 1985 Scattering by inhomogeneous dielectric particles. Q. J. Mech. Appl. Math. 38, 135-155. (doi:10.1093/qjmam%2F38.1.135)
15. Karlsson, A. 2000 On the time domain version of the optical theorem. Am. J. Phys. 68, 344-349. (doi:10.1119/1.19437)
16. King, F. W. 2009 Hilbert transforms, vol. 2. Cambridge, MA: Cambridge University Press.
17. Kleinman, R. E. & Senior, T. B. A. 1986 Rayleigh scattering. In Low and high frequency asymptotics, Handbook on acoustic, electromagnetic and elastic wave scattering, ch. 1, vol. 2 (eds V. V. Varadan & V. K. Varadan), pp. 1-70. Amsterdam, The Netherlands: Elsevier Science Publishers.
18. Kreiss, H.-O. & Lorenz, J. 1989 Initial-boundary value problems and the Navier-Stokes equations. San Diego, CA: Academic Press.
19. Newton, R. G. 2002 Scattering theory of waves and particles, 2nd edn. New York, NY: Dover Publications.
20. Nussenzveig, H. M. 1972 Causality and dispersion relations. London, UK: Academic Press.
21. Panofsky, W. K. & Phillips, M. 1962 Classical electricity and magnetism, 2nd edn. Reading, MA: Addison-Wesley.
22. Purcell, E. M. 1969 On the absorption and emission of light by interstellar grains. J. Astrophys. 158, 433-440. (doi:10.1086/150207)
23. Reed, M. & Simon, B. 1975 Methods of modern mathematical physics, volume II: Fourier analysis, self-adjointness. New York, NY: Academic Press.
24. Sjöberg, D. 2009 Variational principles for the static electric and magnetic polarizabilities of anisotropic media with perfect electric conductor inclusions. J. Phys. A 42, 335403. (doi:10.1088/1751-8113%2F42%2F33%2F335403)
25. Sohl, C. & Gustafsson, M. 2008 A priori estimates on the partial realized gain of Ultra-Wideband (UWB) antennas. Q. J. Mech. Appl. Math. 61, 415-430. (doi:10.1093/qjmam/hbn008)
26. Sohl, C., Gustafsson, M. & Kristensson, G. 2007a Physical limitations on broadband scattering by heterogeneous obstacles. J. Phys. A 40, 11 165-11 182. (doi:10.1088/1751-8113%2F40%2F36%2F015)
27. Sohl, C., Gustafsson, M. & Kristensson, G. 2007b Physical limitations on metamaterials: Restrictions on scattering and absorption over a frequency interval. J. Phys. D: Appl. Phys. 40, 7146-7151. (doi:10.1088/0022-3727/40/22/ 042) (Pubitemid 350163964)
28. Sohl, C., Larsson, C., Gustafsson, M. & Kristensson, G. 2008 A scattering and absorption identity for metamaterials: experimental results and comparison with theory. J. Appl. Phys. 103, 054906. (doi:10.1063/1.2875727) (Pubitemid 351394149)
29. Ung, B. & Sheng, Y. 2007 Interference of surface waves in a metallic nanoslit. Opt. Express 15, 1182-1190. (doi:10.1364/OE.15.001182) (Pubitemid 46220497)
30. van Bladel, J. 2007 Electromagnetic fields, 2nd edn. Piscataway, NJ: IEEE Press.
31. Zemanian, A. H. 1996 Realizability theory for continuous linear systems. New York, NY: Dover Publications.