Skip to main content
SpringerLink
Log in

Interaction of electromagnetic waves with a resistive half-plane

  • Published:
Annals of Telecommunications Aims and scope Submit manuscript

Abstract

The interaction process of electromagnetic waves by a resistive half-plane is investigated. The scattered geometrical optics fields are obtained by subtracting the incident field from the total geometrical optics waves. The physical optics integral of the scattered waves is derived with the aid of the scattered geometrical optics fields. The edge diffracted waves are derived from the physical optics integral by the edge point technique. A correction field is added to the diffracted fields in order to obtain a solution that satisfies the resistive boundary conditions on the surface of the half-screen. The uniform diffracted fields are expressed in terms of the Fresnel function and the resultant field representations are compared with the literature numerically.

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. Senior TBA (1975) Half plane edge diffraction. Radio Sci 10(6):645–650

    Article  Google Scholar 

  2. Senior TBA, Volakis JL (1995) Approximate boundary conditions in electromagnetics. IEE, London

    Book  MATH  Google Scholar 

  3. Uzgören G, Büyükaksoy A, Serbest AH (1990) Plane wave diffraction by the discontinuity formed by resistive and impedance half-planes: oblique incidence case. Ann Telecommun 45(7–8):410–418

    Google Scholar 

  4. Serbest AH, Uzgören G, Büyükaksoy A (1991) Diffraction of plane waves by a resistive strip residing between two impedance half-planes. Ann Telecommun 46(7–8):359–366

    Google Scholar 

  5. Klionovski K (2013) Theoretical and experimental research of diffraction on round semitransparent ground plane. IEEE Trans Antennas Propag 61(6):3207–3215

    Article  MathSciNet  Google Scholar 

  6. Senior TBA (1991) Diffraction by a resistive half plane. Electromagnetics 11(2):183–192

    Article  Google Scholar 

  7. Maliuzhinets GD (1960) Das sommerfeldsche integral und die lösung von beugungsaufgaben in winkelgebieten. Ann Phys 461(1–2):107–112

    Google Scholar 

  8. Umul YZ, Yalcin U (2010) Diffraction theory of waves by resistive surfaces. Prog in Electromagn Res B 23:1–13

    Article  Google Scholar 

  9. Umul YZ (2012) Extension of the maliuzhinets solution for the resistive half-plane. Microw Opt Technol Lett 54(3):777–780

    Article  Google Scholar 

  10. Umul YZ (2013) Diffraction of waves by an impedance half-plane. Opt Commun 298–299:13–17

    Article  Google Scholar 

  11. Umul YZ (2014) Diffraction of waves by a resistive half-plane. Opt Commun 323:6–12

    Article  Google Scholar 

  12. Koprivica M, Neskovic A, Neskovic N (2015) Conversion from mono-axial to isotropic measurements for assessing human exposure to electromagnetic fields of GSM/DCS/UMTS base stations. Ann Telecommun 70(9):407–414

    Article  Google Scholar 

  13. Lee S-W (1977) Comparison of uniform asymptotic theory and Ufimtsev’s theory of electromagnetic edge diffraction. IEEE Trans Antennas Propag 25(2):162–170

    Article  Google Scholar 

  14. Umul YZ (2011) Physical optics theory for the diffraction of waves by impedance surfaces. J Opt Soc Am A 28(2):255–262

    Article  MathSciNet  Google Scholar 

  15. Umul YZ (2014) Modified theory of physical optics. Opt Express 12(20):4959–4972

    Article  Google Scholar 

  16. Umul YZ (2008) MTPO based potential function of the boundary diffraction wave theory. Opt Laser Technol 40(6):769–774

    Article  Google Scholar 

  17. Rubinowicz A (1917) Die beugungswelle in der Kirchhoffschen theorie der beugungserscheinungen. Ann Phys 358(12):257–278

    Article  Google Scholar 

  18. Rubinowicz A (1957) Thomas Young and the theory of diffraction. Nature 180(4578):160–162

    Article  MATH  Google Scholar 

  19. Umul YZ (2005) Diffraction by a black half plane: modified theory of physical optics approach. Opt Express 13(19):7276–7287

    Article  Google Scholar 

  20. Umul YZ (2007) Diffraction of evanescent plane waves by a resistive half-plane. J Opt Soc Am A 24(10):3226–3232

    Article  Google Scholar 

  21. Kouyoumjian RG, Pathak PH (1974) A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface. Proc IEEE 62(11):1448–1461

    Article  Google Scholar 

  22. Umul YZ (2005) Equivalent functions for the Fresnel integral. Opt Express 13(21):8469–8482

    Article  Google Scholar 

  23. Sommerfeld A (1896) Mathematische theorie der diffraction. Math Ann 47(2–3):317–374

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Electronic and Communication Department, Cankaya University, Eskisehir, yolu 29. km., Yenimahalle, Ankara, 06810, Turkiye

    Yusuf Z. Umul

Authors
  1. Yusuf Z. Umul
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yusuf Z. Umul.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Umul, Y.Z. Interaction of electromagnetic waves with a resistive half-plane. Ann. Telecommun. 71, 201–209 (2016). https://doi.org/10.1007/s12243-015-0490-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12243-015-0490-7

Keywords

Search

Navigation