On superresolution in virtual image in a transparent dielectric sphere
Bekirov A. R.1
1Moscow State University, Moscow, Russia
Email: bekirovar@my.msu.ru

Micrometer-sized lenses are known to be able to resolve objects beyond the diffraction limit. In this paper, using the matrix formalism in imaging, we discuss two possible models of this phenomenon. The first model considers the transformation of the source field keeping the real image unchanged. The second model is focused on finding the scattering matrix a particle that gives super resolution in virtual image. Both approaches demonstrate the required super resolution. Disadvantages of the proposed models and possible ways to solve them are discussed. Keywords: diffraction limit, Mie theory, virtual image, superresolution, diffraction. DOI: 10.61011/EOS.2023.03.56187.4198-22
  1. Z. Wang, W. Guo, L. Li, B. Luk'yanchuk, A. Khan, Z. Liu, M. Hong. Nature communications, 2 (1), 1 (2011). DOI: 10.1038/ncomms1211
  2. L. Chen, Y. Zhou, Y. Li, M. Hong. Appl. Phys. Rev., 6 (2), 021304 (2019). DOI: 10.1063/1.5082215
  3. N.I. Zheludev, G. Yuan. Nat. Rev. Phys., 4, 16 (2022). DOI: 10.1038/s42254-021-00382-7
  4. C. Simovski, R. Heydarian. AIP Conf. Proc. 2300, 020117 (2020). DOI: 10.1063/5.0031707
  5. R. Heydarian, C. Simovski. Photonics and Nanostructures --- Fundamentals and Applications, 46, 100950 (2021). DOI: 10.1016/j.photonics.2021.100950
  6. Y. Duan, G. Barbastathis, B. Zhang. Opt. Lett., 38 (16), 2988 (2013). DOI: 10.1364/OL.38.002988
  7. A.R. Bekirov, B.S. Luk'yanchuk, Z. Wang, A.A. Fedyanin. Opt. Mater. Express, 11 (11), 3646 (2021). DOI: 10.1364/OME.437467
  8. A.R. Bekirov, B.S. Luk'yanchuk, A.A. Fedyanin. JETP Lett., 112 (6), 341 (2020). DOI: 10.1134/S0021364020180058
  9. B.S. Luk'yanchuk, R. Paniagua-Domi nguez, I. Minin, O. Minin, Z. Wang. Opt. Mater. Express, 7 (6), 1820 (2017). DOI: 10.1364/OME.7.001820
  10. A.V. Maslov, V.N. Astratov. Phys. Rev. Appl., 11 (6), 064004 (2019). DOI: 10.1103/PhysRevApplied.11.064004
  11. C.F. Bohren, D.R. Huffman. Absorption and scattering of light by small particles (John Wiley \& Sons, 2008)
  12. X. Ma, E. Li. Chin. Opt. Lett., 8 (12), 1195 (2010). DOI: 10.3788/COL20100812.1195
  13. L. Tsang, J.A. Kong, K.H. Ding. Scattering of electromagnetic waves: theories and applications (John Wiley \& Sons, 2004)
  14. B.S. Luk'yanchuk, A.R. Bekirov, Z.B. Wang, I.V. Minin, O.V. Minin, A.A. Fedyanin. Physics of Wave Phenomena, 30 (5), 283 (2022)
  15. P.A. Bobbert, J. Vlieger. Light scattering by a sphere on a substrate. Physica A: Statistical Mechanics and its Applications, 137 (1-2), 209-242 (1986). DOI: 10.1016/0378-4371(86)90072-5
  16. P.W. Barber, S.C. Hill. Light scattering by particles: computational methods. V. 2. (World Scientific,1990)
  17. Mason, V. Bradford. The Electromagnetic Radiation from Simple Sources in the Presence of a Homogenous Dielectric Sphere. (University of Michigan, Radiation Laboratory, 1972)

Подсчитывается количество просмотров абстрактов ("html" на диаграммах) и полных версий статей ("pdf"). Просмотры с одинаковых IP-адресов засчитываются, если происходят с интервалом не менее 2-х часов.

Дата начала обработки статистических данных - 27 января 2016 г.


Ioffe Institute

Institute Officers:

Director: Sergei V. Ivanov

Contact us:

26 Polytekhnicheskaya, Saint Petersburg 194021, Russian Federation
Fax: +7 (812) 297 1017
Phone: +7 (812) 297 2245
E-mail: post@mail.ioffe.ru