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Distributional Techniques in Classical Electrodynamics

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.
  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.
  3. Burak POLAT, “On Poynting’s Theorem and Reciprocity Relations for Discontinuous Fields”, IEEE Antennas and Propagation Magazine, 49 (2007) No.4, 74-83.
  4. Burak POLAT, “Approximate Boundary Relations on Anisotropic Sheets”, Progress in Electromagnetics Research-B, Vol. 29, 355-392, (2011).
  5. Burak POLAT, “Space Curve Type Distributions and Sources”, IEEE Antennas and Propagation Magazine, 54 (2012) No.3 68-85.
  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.

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.
  2. Burak POLAT, ” Impedance Boundary Condition on a PEC Backed Uniaxially Anisotropic Sheet of Arbitrary Shape 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)

Abstracts:

  1. Burak POLAT, “Classical Electrodynamics in the Sense of Distributions”, Abstracts of the Conference “Linear and Non-Linear Theory of Generalized Functions and its Applications”, September 2 – 8, 2007 The Banach Conference Center, Bedlewo, POLAND.
  2. Burak POLAT, “Spatial and Temporal Derivative Operators Acting on Multilayer Distributions”, Abstracts of the Workshop on Mathematical Methods in Applied Sciences”, May 22 – 23, 2008 Uludag University, Bursa, TURKEY.
  3. Burak POLAT, “On Certain Differential Geometric and Distributional Techniques for Moving Singularities in Classical Electrodynamics”, Abstracts of the VI. National Geometry Symposium, July 1-4, 2008 Bursa, TURKEY.
  4. Burak POLAT, “A Distributional Approach to Classical Electromagnetism. I: The Mathmematical Tools”, Abstracts of the 20th International Congress of Jangjeon Mathematical Society, August 21-23, Bursa, TURKEY.
  5. Burak POLAT, “A Distributional Approach to Classical Electromagnetism. II: The Physical Evidences”, Abstracts of the 20th International Congress of Jangjeon Mathematical Society, August 21-23, Bursa, TURKEY.
  6. Burak POLAT, “Spatial and Temporal Derivatives of Locally Integrable Functions with Emphasis on Applications in Field Theory”, IV. National URSI-B Scientific Congress, October 20-22, 2008 Antalya, TURKEY. (in Turkish)
  7. Burak POLAT, “On Idealized Electromagnetic Singularities in Arbitrary Nonrelativistic Motion” Abstracts of the International Conference on Mathematical Sciences, 04-10 August 2009, Maltepe University, İstanbul, TURKEY.
  8. Burak POLAT, “A Distributional Approach to Classical Electrodynamics of Bodies in Arbitrary Nonrelativistic Motion” International Conference on Generalized Functions, August 31 – September 4, 2009 Vienna, AUSTRIA.
  9. Burak POLAT, “Maxwell’s Field Theory in Presence of Singularities”, Abstracts of the Vth International Workshop on Electromagnetic Wave Scattering, October 22 – 25, 2008 Antalya, TURKEY.
  10. Burak POLAT, “A Distributional Investigation of Progressive Differential Operators”, Second Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences, Sozopol, BULGARIA, June 21-26, 2010
  11. Burak POLAT, “Electromagnetic Boundary Value Problems of Moving Media Involving the Oldroyd Derivative”, International Congress in Honour of Professor H. M. Srivastava on his 70th Birth Anniversary, Bursa, Turkey August 18-21, 2010.
  12. Burak POLAT, “Distributional derivatives of point, space curve and surface type singularities with physical applications”, The 24th Congress of the Jangjeon Mathematical Society-ICJMS’2011, July 20-23, 2011.

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).