Generators for backflow light energy

Significance 

In continuum mechanics, an energy cascade involves the transfer of energy from large scales of motion to the small scales. Inverse energy cascade in three-dimensional isotropic turbulence. Currently, numerous applications have been based on the inverse energy flux phenomena. Ideally, inverse energy flux can be observed when an azimuthally polarized beam with vortical phase is sharply focused with a high numerical aperture lens. In the past, it has been shown that inverse energy flux could be obtained by the sharp focusing of higher order radially polarized laser beams. Furthermore, the integrated inverse energy flow increases with increase in the topological order of incident radially polarized laser beams. Hence, it is relevant to generate cylindrical vector beams of higher orders. Presently, there are a few methods for the creation of cylindrical vector beams where each of the available approaches has its pros and cons. Consequently, there is need to develop a novel approach that circumvents the various challenges experienced in the available techniques.

In a recent publication, Russian scientists at Samara National Research University from the Department of Technical Cybernetics and IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS: Dr. Sergey Degtyarev, Dr. Dmitry Savelyev, Professor Svetlana Khonina and Professor Nikolay Kazanskiy, developed a novel approach to construct meta-surfaces for the generation of inverse energy flux near the optical axis. Specifically, in contrast to sectorial subwavelength gratings, they applied the continuous shape of ridges that provide a more homogeneous transformed polarization. Their work is currently published in the research journal, Optics Express.

The research team derived novel equations intended to create continuous subwavelength relief for transformation of a linearly polarized input field into a radially polarized beam with an arbitrary order. In other words, for them to create continuous subwavelength relief, they had to derive new phase functions equations. All in all, the curves of the slow and fast axes of the proposed photonic-crystal subwavelength gratings were plotted.

The authors observed that by combining the two functions of polarization and phase transformations in one element, they were able to decrease the number of elements in an arrangement. In addition, results from the numerical simulations demonstrated the formation of the inverse energy flux in the focal region. Further, the integrated inverse energy flux that was achieved with the third order meta-surface was 2.8 times higher than the integrated inverse energy flux achieved with the second-order meta-surface.

In summary, the study demonstrated successfully a family of optical elements for the formation of an inverse energy flux in a focal region. Technically, the aforementioned elements take the form of subwavelength gratings with curved ridges. Remarkably, new expressions were obtained for the phase functions of the polarizing subwavelength gratings, which convert a linearly polarized beam into a radially polarized beam of arbitrary order. Overall, in an interview with Advances in Engineering, Dr. Dmitry Savelyev highlighted that the usefulness of the element was the continuous relief that provides more efficient polarization transformation especially in adjacent thin annular zones of high numerical aperture focusing phase. Polarization transformation control allows creating light fields with new properties for using laser beams that can change the nature of the impact on the object. It is very important in tasks such as laser cutting and engraving in processing materials.

Generators for backflow light energy - Advances in Engineering

About the author

Sergey Alexandrovich Degtyarev

works as a research fellow of the Image Processing System Institute of the Russian Academy of Science, lecturer of Samara National Research University. Master’s degree in applied mathematics (2012). Candidate of Physical and Mathematical Sciences (2017). Works as an expert in computer simulation of optical devices and light-matter interaction. Research interests: the wave and singular optics, wave processes, photonics devices, numerical methods.

E-mail: [email protected]. 

Web of Science ResearcherID: A-8426-2014

SCOPUS Author ID: 56370597200

ORCID: 0000-0002-0874-005X

AWARDS

  • Winner of the regional competition for young scientists and designers 2016, 2018 working in the Samara region and performing research and development work in priority areas for the development of science and technology for the Samara region

About the author

Dmitry A. Savelyev

Graduated with honors (2011) S.P. Korolyov Samara State Aerospace University, presently, Samara National Research University (Samara University), Applied Mathematics and Computer Science (Faculty of Computer Science) – Master of Applied Mathematics and Computer Science.

He received his Candidate in Physics & Maths (2015) degrees from Samara University.

Hi is the associate professor of Samara University (Department of Technical Cybernetics), senior scientist of Science and Research Laboratory of Automated Systems of Science Researches (Samara University), junior researcher at the Laboratory of laser measurements of the IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS.

He is co-author of 52 scientific papers and 3 certificates of state registration of computer programs.

His current research interests include diffractive optics and nanophotonics, оptical and digital image processing, singular optics and polarization transformations, high-performance computing, data science and neural networks.

E-mail: [email protected]

Web of Science ResearcherID: B-3532-2018

SCOPUS Author ID: 55546118200.

ORCID: 0000-0003-2282-3895

AWARDS

  • Winner of the grant competition “Young scientist SSAU 2013”
  • Winner of the regional contest “Young Scientist” of the Samara region 2013 (graduate student) in the nomination “Computer and Mathematical Modeling. Cybernetics”
  • Winner of the regional contest “Young Scientist” of the Samara Region 2015 (Ph.D.) in the nomination “Computer and Mathematical Modeling. Cybernetics”
  • Winner of the regional competition for young scientists and designers 2015, 2016, 2017, 2018, 2019 working in the Samara region and performing research and development work in priority areas for the development of science and technology for the Samara region
  • Laureate of the scholarship of the President of the Russian Federation for 2016-2018 in the section “Strategic information technologies, including the creation of supercomputers and software development.”
  • Laureate of the scholarship of the President of the Russian Federation for 2019 – 2021 in the section “Strategic information technologies, including the creation of supercomputers and software development.”

About the author

Svetlana N. Khonina

Doctor of Physical and Mathematical Sciences; Professor of Samara National Research University. Main researcher of the IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS. Research interests: diffractive optics, singular optics, tight focusing, mode and polarization transformations.

E-mail: [email protected]

Web of Science ResearcherID: E-2467-2014

SCOPUS Author ID: 7003978930.

ORCID: 0000-0001-6765-4373

AWARDS

  • RAS scholarship for outstanding young scientists of Russia in 1997-1999 and 2000-2002.
  • A grant from the President of the Russian Federation for young doctors of science in 2003-2005.
  • Award of the provincial prize (order of the Governor of the Samara region dated 03.15.2010 No. 67-r) in the field of science and technology for 2009 in the nomination “Natural Sciences and Mathematics”
  • 2013 – Certificate of Merit (Decree of the Presidium of the Russian Academy of Sciences No. 10105-368 of April 29, 2013) for a significant contribution to the establishment and development of the Federal State Budgetary Institution of Science of the Institute of Image Processing Systems of the Russian Academy of Sciences and in connection with the 25th anniversary of its creation.
  • 2015 – Awarding of the Governor’s Prize for outstanding results in solving natural mathematical problems in 2015 (Samara Region).

About the author

Nikolay L. Kazanskiy

Graduated with honors (1981) from the S. P. Korolyov Kuibyshev Aviation Institute, presently, Samara National Research University (Samara University), majoring in Applied Mathematics.

He received his Candidate in Physics & Maths (1988) and Doctor in Physics & Maths (1996) degrees from Samara University.

He is the director of the Image Processing Systems Institute of the RAS – Branch of the Federal Scientific-Research Centre “Crystallography and Photonics” of the Russian Academy of Sciences (IPSI RAS), holding a part-time position of professor at Samara University’s Technical Cybernetics sub-department.

He is the manager of the Research & Education Center of Computer Optics established jointly by Samara Universi-ty and IPSI RAS, holding the chair of Samara University’s base sub-department of High-Performance Computing at IPSI RAS.

He is an OSA, SPIE and IAPR member. He is co-author of 240 scientific papers, 14 monographs, and 57 inventions and patents.

His current research interests include diffractive optics, mathematical modeling, image processing, computer vision and nanophotonics.

Web of Science ResearcherID: Q-2349-2015.

SCOPUS Author ID: 35581405600

ORCID: 0000-0002-0180-7522

AWARDS

  • 1998 – Provincial Award for Excellence in Science and Technology
  • 1999 – Medal of the Order of “Merit of the Fatherland” of the second degree
  • 2014 – Honored worker of science of the Samara region, Russia
  • 2016 – Samara region Governor’s award for outstanding results in solving natural and mathematical problems
  • 2016 – Scopus Award Russia 2016 for contribution to the development of science

Reference

Sergey Degtyarev, Dmitry Savelyev, Svetlana Khonina, Nikolay Kazanskiy. Metasurfaces with continuous ridges for inverse energy flux generation. Volume 27, Number 11 | 2019 | Optics Express 15129

Go To Optics Express

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