Skip to main content
SpringerLink
Log in

Scattering of Electromagnetic Waves by a Coated Nihility Cylinder

  • Published:
Journal of Infrared, Millimeter, and Terahertz Waves Aims and scope Submit manuscript

Abstract

An analytical solution for the scattering of electromagnetic plane waves from an infinitely long nihility cylinder, coated with a double positive (DPS), double negative (DNG), epsilon negative (ENG), or mu negative (MNG) layer of uniform thickness is presented. The solution is determined by solving the scalar wave equation in the cylindrical coordinates, for different regions and applying the appropriate boundary conditions at the interfaces. Both TM and TE polarizations as incident plane have been considered in the analysis. Comparison of behaviors of a coated nihility cylinder with a coated PEC cylinder has been made. It is noted that two situations are more closer for DNG coating as compared to DPS coating.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. A. Lakhtakia, “An electromagnetic trinity from “negative permittivity” and “negative permeability”,” International Journal of Infrared and Millimeter Waves 22, 1731–1734 (2001).

    Article  Google Scholar 

  2. A. Lakhtakia, “An electromagnetic trinity from “negative permittivity” and “negative permeability”,” International Journal of Infrared and Millimeter Waves 23, 813–818 (2002).

    Article  Google Scholar 

  3. A. Lakhtakia and J. B. Goddes, “Scattering by nihility cylinder,” International Journal of Electronics Communications (AEÜ) 61, 62–65 (2007).

    Article  Google Scholar 

  4. A. Lakhtakia, M. W. McCall, W. S. Weiglhofer, “Brief overview of recent developments on negative phase-velocity mediums (alias left-handed materials),” AEÜ International Journal of Electronics Communications 56, 407–410 (2002).

    Article  Google Scholar 

  5. S. A. Ramakrishna, “Physics of negative refractive index materials,” Reports on Progress in Physics 68, 449–521 (2005).

    Article  Google Scholar 

  6. A. Lakhtakia, “On perfect lenses and nihility,” International Journal of Infrared and Millimeter Waves 23, 339–343 (2002).

    Article  Google Scholar 

  7. A. Lakhtakia and J. A. Sherwin, “Orthorhombic materials and perfect lenses,” International Journal of Infrared and Millimeter Waves 24, 19–23 (2003).

    Article  Google Scholar 

  8. R. W. Ziolkowski, “Propagation in and scattering from a matched metamaterial having a zero index of refraction,” Physical Review E 70, 046608 (2004).

    Article  Google Scholar 

  9. A. Lakhtakia and T. G. Mackay, “Fresnel coefficients for a permittivity-permeability phase space encompassing vacuum, anti-vacuum, and nihility,” Microwave and Optical Technology Letters 48, 265–270 (2006).

    Article  Google Scholar 

  10. S. Tretyakov, I. Nefedov, A. Sihvola, S. Maslovski, and C. Simovski, “Waves and energy in chiral nihility,” Journal of Electromagnetic Waves and Applications 17, 695–706 (2003).

    Article  Google Scholar 

  11. C. Zhang and T. J. Cui, “Negative reflections of electromagnetic waves in chiral media,” Applied Physics Letters 91, 194101 (2007). arXiv:physics/0610172.

    Article  Google Scholar 

  12. Q. Cheng, T. J. Cui, and C. Zhang, “Waves in planar waveguide containing chiral nihility metamaterial,” Optics Communications 276, 317–321 (2007).

    Article  Google Scholar 

  13. Naqvi Q. A., “Planer slab of chiral nihility metamaterial backed by fractional dual/PEMC interface,” Progress in Electromagnetics Research PIER 85, 381–391 (2008).

    Article  Google Scholar 

  14. Q. A. Naqvi, “Fractional dual solutions to Maxwell equations in chiral nihility medium,” Optics Communications 282(10), 2016–2018 (2009). doi:10.1016/j.optcom.2009.02.022.

    Article  Google Scholar 

  15. V. G. Veselago, “The electrodynamics of substances with simultaneously negative value of ε and μ,” Soviet Physics Uspekhi 10(4), 509–514 (1968).

    Article  Google Scholar 

  16. J. B. Pendry, “Negative refraction makes a perfect lens,” Physical Review Letters 85, 3966–3969 (2001).

    Article  Google Scholar 

  17. R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).

    Article  Google Scholar 

  18. N. Engheta, “An idea for thin subwavelength cavity resonators using metamaterial with negative permittivity and permeability,” IEEE Antenna Wireless Propagation Letter 1(1), 10–13 (2002).

    Article  Google Scholar 

  19. I. V. Lindell, S. A. Tretyakov, K. I. Nikoskinen, and S. Ilvonen, “BW media- Media with negative parameters capable of supporting backward waves,” Microwave and Optical Technology Letters 31(2), 129–133 (2001).

    Article  Google Scholar 

  20. M. W. McCall, A. Lakhtakia, and W. S. Weiglhofer, “The negative index of refraction demystified,” European Journal of Physics 23, 23, 353–359 (2002).

    Article  Google Scholar 

  21. A. Alu and N. Engheta, “Pairing an epsilon-negative slab with a mu-negative slab: resonance, tunneling and transparency,” IEEE Transactions on Antennas and Propagation 51(10), 2558–2570 (2003).

    Article  Google Scholar 

  22. C. C. H. Tang, “Backscattering from dielectrically coated infinite cylindrical obstacles,” Journal of Applied Physics 28, 628–633 (1957).

    Article  MATH  Google Scholar 

  23. H. C. Chen and D. K. Cheng, “Scattering of electromagnetic waves by an anisotropic plasma-coated conducting cylinder,” IEEE Transactions on Antennas and Propagation AP-12, 348–353 (1964).

    Article  Google Scholar 

  24. Z. X. Shen, “Electromagnetic scattering by an impedance cylinder coated eccentrically with a chiroplasma cylinder,” IEE Proceedings. Microwaves, Antennas and Propagation 141, 279–284 (1994).

    Article  Google Scholar 

  25. M. A. Mushref, “Closed solution to electromagnetic scattering of a plane wave by an eccentric cylinder coated with metamaterials,” Optics Communications 270, 441–446 (2007).

    Article  Google Scholar 

  26. Z. Shen and C. Li, “Electromagnetic scattering by a conducting cylinder coated with metamaterials,” Progress In Electromagnetics Research (PIER) 42, 91–105 (2003).

    Article  Google Scholar 

  27. E. Irci and V. B. Ertürk, “Achieving transparency and maximizing scattering with metamaterial-coated conducting cylinders,” Physical Review E 76, 056603 (2007).

    Article  Google Scholar 

  28. S. Ahmed and Q. A. Naqvi, “Electromagnetic scattering from a perfect electromagnetic conductor circular cylinder coated with a metamaterial having negative permittivity and/or permeability,” Optics Communications 281(23), 5664–5670 (2008).

    Article  Google Scholar 

  29. S. Ahmed and Q. A. Naqvi, “Directive EM radiation of a line source in the presence of a coated nihility cylinder,” Journal of Electromagnetic Waves and Applications 23, 761–771 (2009).

    Article  Google Scholar 

  30. S. Ahmed and Q. A. Naqvi, “Directive EM radiation of a line source in the presence of a coated PEMC circular cylinder,” Progress in Electromagnetics Research (PIER) 92, 91–102 (2009).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electronics, Quaid-i-Azam University, Islamabad, Pakistan

    Shakeel Ahmed & Qaisar Abbas Naqvi

Authors
  1. Shakeel Ahmed
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Qaisar Abbas Naqvi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Qaisar Abbas Naqvi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ahmed, S., Naqvi, Q.A. Scattering of Electromagnetic Waves by a Coated Nihility Cylinder. J Infrared Milli Terahz Waves 30, 1044–1052 (2009). https://doi.org/10.1007/s10762-009-9531-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10762-009-9531-5

Keywords

Search

Navigation