Far-Field, Radiation Resistance and temperature of Hertzian Dipole Antenna in Lossless Medium with Momentum and Energy Flow in the Far- Zone


  • Osama M. Abo-Seida Kafr El-Sheikh University, Egypt
  • N.T.M.Eldabe Ain Shams University, Cairo, Egypt
  • Ahmed Refaie Ali Menoufia University, Egypt
  • Gamil.Ali Shalaby Menoufia University, Egypt




Hertzian dipole, Antenna temperature, Ohmic heating, Radiation resistance, Lossless media, Far field


A Far-field with calculation of intrinsic impedance, ohmic heating and antenna temperature of radiated ideal (Hertzian) dipole antenna have been discussed in free space and lossless background. Actually, there is great important to analysis the radiation resistance mechanism of a Hertzian dipole antenna in an infinite isotropic lossless medium. We also discussed the momentum and energy flow in electromagnetic fields with investigation that wavefront/phase velocity is equals to light speed in far zone. The temperature of lossless Hertzian antenna is equal to brightness temperature To.


Download data is not yet available.

Author Biographies

Osama M. Abo-Seida, Kafr El-Sheikh University, Egypt

Department of Mathematics, Faculty of Science

N.T.M.Eldabe, Ain Shams University, Cairo, Egypt

Department of Mathematics, Faculty of Education

Ahmed Refaie Ali, Menoufia University, Egypt

Assistant Lecturer, Department of Mathematics and Computer Science, Faculty of Science

Gamil.Ali Shalaby, Menoufia University, Egypt

Department of Mathematics and Computer Science, Faculty of Science


Marcano, D., Diaz, M, .: Energy Transport Velocity for Hertzian Dipole. IEEE Anten.

Propa.So.Int. Symposium. vol.10, 2017-2020(2006).

Tai, C. T., Collin, R. E.,.: Radiation of a Hertzian dipole immersed in a dissipative

medium. IEEE Trans. Antenn. Propag. vol 48, 1501-1506(2000)

Tsao, C. K. H.,.: Radiation resistance of antennas in lossy media. IEEE Trans. Antenn.

Propag. 19, 443-444(1971)

Mirmoosa, M. S., et.al.,.: Physical meaning of the dipole radiation resistance in lossless

and lossy media. .arXiv:1901.02777v1 [physics.class-ph]. (2019)

McDonald, Kirk T.: Flow of energy and momentum in the near zone of a Hertzian dipole.

NJ 08544,(2014)

Poynting, J.H.: On the transfer of energy in the electromagnetic eld, Phil. Trans. Roy.

Soc. London. 175, 343(1884)

Schantz, H. G,.: Electromagnetic energy around Hertzian dipoles. In IEEE Antennas and

Propagation Magazine. vol. 43, no. 2, 50-62 (2001)

Michalski, Krzysztof.: On the Alternative Vector Potential Formulation of the Sommer-

feld Half-Space Problem. IEEE Antennas and Wireless Propagation Letters. 1-1(2017)

Yehia, H.M.,.: Regular precession of a rigid body (gyrostat) acted upon by an irreducible

combination of three classical elds. Journal of the Egyptian Mathematical Society 25,

Issue 2, 216-219(2017)

Hayat, A., Faryad, M., On the radiation from a Hertzian dipole of a nite length in the

uniaxial dielectric medium. OSA Continuum. 2, 1411(2019)

Anyutin, N., Malay, I., Malyshev, A.: Calculation of phase center of arbitrary electronic-

genetic radiation sources in near eld zone. IEEE East-West Design and Test Symposium

(EWDTS). 1-4 (2019)

Abo-Seida, Osama M., et.al.: Far-Field Radiated From a Vertical Magnetic Dipole in

the Sea with a rough upper surface. IEEE Transactions on geoscience and remote sensing,


Chapter 11.: Common Antennas and Applications. Electromagnetics and Applications.

Spring (2009), MIT OpenCourseWarehttp://ocw.mit.edu

Senthil, R., et al.: Erect of the Phase Change Material in a Solar Receiver on Thermal

Performance of Parabolic Dish Collector. Thermal Science. 21, 2803-2812(2017)



How to Cite

Osama M. Abo-Seida, N.T.M.Eldabe, Ahmed Refaie Ali, & Gamil.Ali Shalaby. (2020). Far-Field, Radiation Resistance and temperature of Hertzian Dipole Antenna in Lossless Medium with Momentum and Energy Flow in the Far- Zone. JOURNAL OF ADVANCES IN PHYSICS, 18, 20-28. https://doi.org/10.24297/jap.v18i.8803