Subwavelength optical microscopy of nanostructured objects on the surface of an optical metamaterial with a zero refractive index 

Oleg N. Gadomskiy, Doctor of physical and mathematical sciences, professor, professor of the subdepatment of radiophysics and electronics, Ulyanovsk State University (42 L’va Tolstogo street, Ulyanovsk, Russia), E-mail: gadomsky@mail.ru
Nikolay M. Ushakov, Doctor of physical and mathematical sciences, professor, principal researcher of the Laboratory of submicron electronics, Kotel’nikov Institute of Radio Engineering and Electronics of the Russian Academy of Sciences, Saratov Branch (38 Zelenaya street, Saratov, Russia), E-mail: nmu@bk.ru
Vladimir E. Katnov, Candidate of chemical sciences, associate professor, principal researcher, Institute of Geology and Petroleum Technologies, Kazan Federal University (18 Kremlevskaya street, Kazan, Russia), E-mail: vkatnov@yandex.ru
Dmitriy O. Musich, Protectorate service programmer for scientific work, Research Institute of Technology named after S. P. Kapitsa, Ulyanovsk State University (42 L’va Tolstogo street, Ulyanovsk, Russia), E-mail: zokeraf@mail.ru
Marat M. Gebeydullov, Postgraduate student, Ulyanovsk State University (42 L’va Tolstogo street, Ulyanovsk, Russia), E-mail: marat735654@gmail.com
Ali Hussein Adam, Postgraduate student, Ulyanovsk State University (42 L’va Tolstogo street, Ulyanovsk, Russia), E-mail: adamali43434@gmail.com 

It has been proven theoretically that light reflected from the surface of an optical metamaterial with a zero refractive index is focused in the area of a focal spot with a radius of λ / 16, where λ is the wavelength of light. It is shown that at a zero refractive index, the laws of refraction and reflection of light are violated, the angles of refraction and reflection become random quantities. The reflectivity of the surface in the region of the focal spot is calculated in the presence of a diatomic nanostructured object on the surface. It is shown that the size of the focal spot increases with the distance from the center of the focal spot from the surface. In this case, an image of a nanostructured object can be obtained. 

nanostructures, optical metamaterial, zero refractive index, focal spot 

Gadomsky O.N., Ushakov N.M., Katnov V.E., Musich D.O., Gebeydullov M.M., Adam A.H. Subwavelength optical microscopy of nanostructured objects on the surface of an optical metamaterial with a zero refractive index. Izvestiya vysshikh uchebnykh zavedeniy. Povolzhskiy region. Fiziko-matematicheskie nauki = University proceedings. Volga region. Physical and mathematical sciences. 2022;(2):40–53. (In Russ.). doi:10.21685/2072-3040-2022-2-4