Classical Electromagnetism in Schwartz-Sobolev Space

This research is focused on obtaining the behavior of macroscobic field equations of electromagnetism in presence of singularities at rest and in arbitrary motion.

Full Papers:

1 . Burak POLAT, “Remarks on the Fundamental Postulates on Field Singularities in Electromagnetic Theory”, IEEE Antennas and Propagation Magazine, 47 (2005) No.5, 47-54. + Correction at Vol.48 No.3, pg.19, June 2006. DOI: 10.1109/MAP.2005.1599165

2. Burak POLAT, “A Note Regarding “Remarks on the Fundamental Postulates on Field Singularities in Electromagnetic Theory”, IEEE Antennas and Propagation Magazine, 48 (2006) No.3, 105. DOI: 10.1109/MAP.2006.1703433

3. Burak POLAT, “On Poynting’s Theorem and Reciprocity Relations for Discontinuous Fields”, IEEE Antennas and Propagation Magazine, 49 (2007) No.4, 74-83. DOI: 10.1109/MAP.2007.4385599

4. Burak POLAT, “Approximate Boundary Relations on Anisotropic Sheets”, Progress in Electromagnetics Research-B, Vol. 29, 355-392, (2011). DOI:10.2528/PIERB10090207

5. Burak POLAT, “Space Curve Type Distributions and Sources”, IEEE Antennas and Propagation Magazine, 54 (2012) No.3 68-85. DOI: 10.1109/MAP.2012.6293953

6. Burak POLAT, “A Distributional Investigation of Point Sources in Classical Electromagnetism”, Revue Romaine des Sciences Techniques Série Electrotechnique et Energétique, 57 (2012) No.2, 123-133.

7. Burak POLAT, “Distributional Derivatives on a Regular Open Surface with Physical Applications”, TWMS J. App. & Eng. Math. Vol.1 No.2 (2011) 203-222.

8. Burak POLAT, “Distributional Relations on Impulse Radiating Surface and Point Type Sources”, Journal of Mathematics and System Science Vol.2 No.2, (2012) 72-81.

9. Burak POLAT and Ramazan DAŞBAŞI, “A Distributional Investigation of Hertz-Heaviside Field Equations”  IEEE Transactions on Antennas and Propagation (2022) DOI:10.1109/TAP.2022.3140496

Full Conference Proceedings:

1. Burak POLAT, “Spatiotemporal Coupling in Jump Conditions on a Planar Material Sheet”, IVth International Workshop on Electromagnetic Wave Scattering September 18 – 22, 2006 Gebze, Kocaeli, TURKEY. (4 pages)

2. Burak POLAT, ” Impedance Boundary Condition on a PEC Backed Uniaxially Anisotropic Sheet of Arbitrary Shape ”, XXX URSI General Assembly and Scientific Symposium of International Union of Radio Science – URSI GASS’2011, 13-20 August, 2011, Istanbul, TURKEY. (4 pages)

3. Burak POLAT, “On Equivalence of Maxwell’s Equations in Differential and Integral Forms”,  Proceedings of 2nd International Conference on Electrical, Communication and Computer Engineering, ICECCE June 12-13, 2020 Istanbul, TURKEY.  (6 pages) DOI: 10.1109/ICECCE49384.2020.9179294

Book Review:

1. “Discontinuities in the Electromagnetic Field by M İdemen, IEEE Press, 2011” TWMS Journal of Applied and Engineering Mathematics Vol.3 No.1 (2013).