Abstract
Monochromatic electromagnetic fields are considered inside an arbitrarily chosen volume both in homogeneous and inhomogeneous media. Formulas for the fields in the selected volume are obtained using the vector Green’s function of the medium. Two forms of the vector Green’s function are found for homogeneous media. The Kirchhoff and Kirchhoff–Kottler vector formulas for the problem of diffraction by an aperture in an opaque screen are obtained. Because of the use of the vector Green’s function, the Kirchhoff–Kottler formula is obtained directly, without using additional assumptions.
This is a preview of subscription content, log in via an institution to check access.
REFERENCES
Balyan, M.K., J. Contemp. Phys., 2022, vol. 57, p. 331.
Balyan, M.K., J. Contemp. Phys., 2023, vol. 58, p. 92.
Balyan, M.K., J. Contemp. Phys., 2023, vol. 58 (accessed for publication).
Jackson, J.D., Classical Electrodynamics. New York: Wiley, 1998.
Landau, L.D. and Lifshits, E.M., Course of Theoretical Physics, vol. 2. The Classical Theory of Fields. London: Athenaum Press, 1996.
Born, M. and Wolf, E., Principles of Optics. Oxford: Pergamon Press, 1980.
Stratton, J.A., Electromagnetic Theory. New York: McGraw-Hill, 1941.
Levich, B.G., Theoretical Physics, An advanced text, vol. 1, Theory of the Electromagnetic field, Theory of Relativity. Amsterdam, London: North-Holland Publishing Company, 1970.
Solimeno, S., Crosignani, B., and DiPorto, P., Guiding, Diffraction and Confinement of Optical Radiation. New York: Academic Press, 1986.
Kottler, F., Ann. Phys. (Leipzig), 1923, vol. 71, p. 457.
Franz, W., Z. Naturforschg, 1948, vol. 3a, p. 500.
Sommerfeld, A., Optics. New York: Academic Press, 1954.
Ter Mikaelyan, M.L. and Khachatryan, B.V., Rep. Natl. Acad. Sci. Armen. Phys., 1965, vol. XL, p. 13 [Russian].
Khachatryan, B.V., Proc. Natl. Acad. Sci. Armen. Phys., 1965, p. 133 [Russian].
Bolotovskii, B.M. and Voskresenskii, G.V., Sov. Phys. Usp., 1966, vol. 9, p. 73.
Bolotovskii, B.M. and Galst’yan, E.A., Phys. Usp., 2000, vol. 43, p. 755.
Funding
This work was supported by ongoing institutional funding. No additional grants to carry out or direct thisparticular research were obtained.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The author of this work declares that he has no conflicts of interest.
Additional information
Translated by V. Musakhanyan
Publisher’s Note.
Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
About this article
Cite this article
Balyan, M.K. Electromagnetic Vector Monochromatic Diffraction Fields and Fields of Charges in Media. J. Contemp. Phys. 58, 251–256 (2023). https://doi.org/10.1134/S1068337223030076
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1068337223030076