Abstract
The analysis of the radiation patterns of three-dimensional arrays has, up to the present time, been limited to a few well-known structures which were introduced as natural extensions of simple geometric shapes, such as spheres or cylinders, etc. At the present time no systematic procedure exists for choosing the proper three-dimensional arrangement of radiators in space. New geometrical concepts are needed to enrich the presently available techniques of analysis of antenna theory. An area where similar geometrical concepts have been developed with great succes is crystallography. In this area, using group theory as the underlined mathematical structure, a large class of crystal lattices in space were studied and a very elegant and systematic formalism was developed for the classification of crystal structures.
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References
G. Liubarskii, The Application of Group Theory in Physics, Pergamon Press, Oxford.
M. Tinkham (1964), Group Theory and Quantum Mechanics, McGraw-Hill, New York.
N. Gelfand et al. (1963), Representation of the Rotation and Lorentz Group and Their Applications. Macmillan, New York.
M. Naimark (1964), Linear Representation of the Lorentz Group, Pergamon Press, Oxford.
M. Rose (1955), Multipole Fields, Wiley, New York.
H. Kritikos (1973), Radiation symmetries of antenna arrays J. Franklin Inst., 295, 4, 283.
H.N. Kritikos (1983), Rotational symmetries of the electromagnetic radiation fields. IEEE Trans. Antennas and Propagation, AP-31, 2.
Richie an H.N. Kritikos, An Application of Group Theory to Arrays, to be published.
G.F. Koster (1957), Space Groups and Their Representations, Academic Press, New York.
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© 1990 Springer-Verlag New York, Inc.
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Kritikos, H.N. (1990). Group Symmetries of Antenna Arrays. In: Kritikos, H.N., Jaggard, D.L. (eds) Recent Advances in Electromagnetic Theory. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3330-5_9
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DOI: https://doi.org/10.1007/978-1-4612-3330-5_9
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