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Radiation of scalar waves by the discontinuities in the antenna geometries

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Abstract

The electrical scalar potential satisfies the Helmholtz equation for time-harmonic waves and Aharonov-Bohm showed that the electromagnetic potentials have physical reality. For these reasons, the scalar potential represents scalar wave propagation in space. The gradient of the scalar wave leads to the electric field intensity, but it does not create the magnetic field. The criteria for the radiation of the scalar waves are studied on various linear antennas. The radiation integrals of the antennas are evaluated asymptotically by taking into account the edge effects. The radiation diagrams are plotted numerically and the phase velocities of the scalar waves are investigated in the near field.

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References

  1. J.C. Maxwell, Philos. Trans. R. Soc. Lond. 155, 459 (1865)

    Article  Google Scholar 

  2. J.C. Maxwell, A Treatise on Electricity and Magnetism (Clarendon, London, 1873)

    Google Scholar 

  3. W. Ehrenberg, R.E. Siday, Proc. Phys. Soc. B 62, 8 (1949)

    Article  ADS  Google Scholar 

  4. Y. Aharonov, D. Bohm, Phys. Rev. 115, 485 (1959)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  5. R.G. Chambers, Phys. Rev. Lett. 5, 3 (1960)

    Article  ADS  Google Scholar 

  6. D.M. Greenberger, Phys. Rev. D 23, 1460 (1981)

    Article  ADS  Google Scholar 

  7. Y. Imry, R.A. Webb, Sci. Am. 260, 56 (1989)

    Article  Google Scholar 

  8. C. Monstein, J.P. Wesley, Europhys. Lett. 59, 514 (2002)

    Article  ADS  Google Scholar 

  9. Y.Z. Umul, J. Opt. Soc. Am. A 24, 3226 (2007)

    Article  ADS  Google Scholar 

  10. C.A. Balanis, Antenna Theory and Design (Wiley, New York, 2005)

    Google Scholar 

  11. W.D. Walker, in Gravitation and Cosmology: From the Hubble Radius to the Planck Scale, ed. by R.L. Amoroso et al. (Kluwer, New York, 2002), pp. 189–196

    Google Scholar 

  12. C.A. Balanis, Advanced Engineering Electromagnetics (Wiley, New York, 1989)

    Google Scholar 

  13. Y.Z. Umul, Opt. Express 13, 8469 (2005)

    Article  ADS  Google Scholar 

  14. S. Silver, Microwave Antenna Theory and Design (McGraw-Hill, New York, 1949)

    Google Scholar 

  15. R.E. Collin, Antennas and Radiowave Propagation (McGraw-Hill, New York, 1985)

    Google Scholar 

  16. Y.Z. Umul, J. Opt. Soc. Am. A 25, 1850 (2008)

    Article  MathSciNet  Google Scholar 

  17. Y.Z. Umul, J. Opt. Soc. Am. A 26, 1799 (2009)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Electronic and Communication Department, Cankaya University, Öğretmenler Cad., No:14, Yüzüncü Yıl, Balgat, Ankara, 06530, Turkey

    Y. Z. Umul

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  1. Y. Z. Umul
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Correspondence to Y. Z. Umul.

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Umul, Y.Z. Radiation of scalar waves by the discontinuities in the antenna geometries. Appl. Phys. B 101, 347–352 (2010). https://doi.org/10.1007/s00340-010-4009-7

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  • DOI: https://doi.org/10.1007/s00340-010-4009-7

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