Hafta | Konular | Ön Hazırlık |
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1 | Üç Boyutlu sürekli fonksiyonlar uzayında vektör operatörler ve fiziksel yorumları. | Schaum’s Outline Series, Vector Analysis, McGraw Hill 2nd Ed. 1974. Burak POLAT, “Remarks on Standard Textbook Definitions of Vector Operators”, Beykent University, Journal of Science and Engineering (BUJSE), Vol. 7 No.2 83-104 (2014). B. Polat, ”Vector Calculus for Classical Electromagnetism”, Nobel Akademik Yayıncılık, 2022. ISBN 978-625-427-199-1 |
2 | Düzlem ve eğri üzerinde diferansiyel geometri ve vektör cebri | Differential Geometry of Curves and Surfaces, Dover Publications; Updated, Revised edition (December 14, 2016) C.E. Weatherburn, Differential Geometry of Three Dimensions. Vol.1 Cambridge University Press 1927. Jean G. Van Bladel, Electromagnetic Fields, Wiley-IEEE Press; 2nd Ed. 2007. B. Polat, ”Vector Calculus for Classical Electromagnetism”, Nobel Akademik Yayıncılık, 2022. ISBN 978-625-427-199-1 |
3 | Schwartz-Sobolev Uzaylarına giriş: Dirac-delta dizileri ve test fonksiyonları | R.P. Kanwal, Generalized Functions: Theory and Technique, Birkhauser Boston 3rd Ed. 2004. B. Polat, ”Vector Calculus for Classical Electromagnetism”, Nobel Akademik Yayıncılık, 2022. ISBN 978-625-427-199-1 |
4 | Schwartz-Sobolev Uzaylarına giriş: Dirac-delta distribüsyonlarının cebirsel özellikleri | R.P. Kanwal, Generalized Functions: Theory and Technique, Birkhauser Boston 3rd Ed. 2004. B. Polat, ”Vector Calculus for Classical Electromagnetism”, Nobel Akademik Yayıncılık, 2022. ISBN 978-625-427-199-1 |
5 | Nokta, Yüzey ve Uzay Eğrisi türü distribüsyonlar | R.P. Kanwal, Generalized Functions: Theory and Technique, Birkhauser Boston 3rd Ed. 2004. Burak POLAT, "Distributional Derivatives on a Regular Open Surface with Physical Applications", TWMS J. App. & Eng. Math. Vol.1 No.2 (2011) 203-222. Burak POLAT, “Space Curve Type Distributions and Sources”, IEEE Antennas and Propagation Magazine, 54 (2012) No.3 68-85. B. Polat, ”Vector Calculus for Classical Electromagnetism”, Nobel Akademik Yayıncılık, 2022. ISBN 978-625-427-199-1 |
6 | Noktasal elektromanyetik kaynaklar | 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. B. Polat, ”Vector Calculus for Classical Electromagnetism”, Nobel Akademik Yayıncılık, 2022. ISBN 978-625-427-199-1 |
7 | Maddesel olmayan yüzey tekillikleri. Tek ve çift tabakalar | Burak POLAT, "Distributional Derivatives on a Regular Open Surface with Physical Applications", TWMS J. App. & Eng. Math. Vol.1 No.2 (2011) 203-222. Burak POLAT, “Approximate Boundary Relations on Anisotropic Sheets”, Progress in Electromagnetics Research-B, Vol. 29, 355-392, (2011). 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 200 |
8 | Ara Sınav 1 | |
9 | Anizotropik tabakalar üzerinde yaklaşık sınır koşulları. Rezistif, kondüktif ve empedans tipi sınır koşulu özel durumları. (8. hafta işlenecek) Yüzey süreksizlikleri durumunda integral yapıdaki ilkeler: Poynting teoremi ve karşıtlık (resiprosite) bağıntıları (9. hafta işlenecek) | Burak POLAT, “Approximate Boundary Relations on Anisotropic Sheets”, Progress in Electromagnetics Research-B, Vol. 29, 355-392, (2011). T.B.A. Senior and J.L. Volakis, “Approximate Boundary Conditions in Electromagnetics”, IEE Electromagnetic Wave Series 41, 1995. Burak POLAT, “On Poynting's Theorem and Reciprocity Relations for Discontinuous Fields”, IEEE Antennas and Propagation Magazine, 49 (2007) No.4, 74-83. B. Polat, ”Vector Calculus for Classical Electromagnetism”, Nobel Akademik Yayın |
10 | Uzay eğrisi türü kaynaklar | Burak POLAT, “Space Curve Type Distributions and Sources”, IEEE Antennas and Propagation Magazine, 54 (2012) No.3 68-85. B. Polat, ”Vector Calculus for Classical Electromagnetism”, Nobel Akademik Yayıncılık, 2022. ISBN 978-625-427-199-1 |
11 | İmpuls Işıyan Kaynaklar | 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. B. Polat, ”Vector Calculus for Classical Electromagnetism”, Nobel Akademik Yayıncılık, 2022. ISBN 978-625-427-199-1 |
12 | Çok-kutup (İng. multipole) açılımları | Jackson, John D. 1999). Classical Electrodynamics (3rd ed.). New York: John Wiley & Sons Jean G. Van Bladel, Electromagnetic Fields, Wiley-IEEE Press; 2nd Ed. 2007 B. Polat, ”Vector Calculus for Classical Electromagnetism”, Nobel Akademik Yayıncılık, 2022. ISBN 978-625-427-199-1 |
13 | Kama Tipi ve Düzlemsel Ayrıt Koşulları | M. Mithat Idemen, Discontinuities in the Electromagnetic Field, Sep 2011, Wiley-IEEE Press Raj Mittra and S. W. Lee, Analytical techniques in the theory of guided waves (Macmillan series in electrical science) 1971 |
14 | Konik tekillikler, Dönem Sonu Sunumları | M. Mithat Idemen, Discontinuities in the Electromagnetic Field, Sep 2011, Wiley-IEEE Press |
15 | Final | |