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Three designs are described for small-sized unsuperdirective antennas in whose near zone there is an area with a small field. This area is formed as a result of mutual suppression of various sections of the antenna radiation. Antennas with a "dark spot" in the near zone are necessary for electromagnetic compatibility maintenance and for the development of mobile telephones, which do not create large fields in the user's head, i.e. ecologically harmless. The formation of a "dark spot" in the near zone does not distort the antenna pattern.