Skip to main content
SpringerLink
Log in

Objective Function in the Problem of Optimal Laser-Assisted Separation of Isotopes by the Method of Selective Retardation of Condensation

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

A design of an industrial concentration plant based on the method of selective retardation of condensation in an external laser field was earlier proposed. In this paper, we review recent results on optimization criteria (objective functions) proposed for the search for optimal parameters of this scheme, related to the geometry and operational characteristics of the plant. As constraints in the optimization problem, we consider the influence of the condensation rate and the resonance and nonresonance absorption in a separation cell on its geometry. Separating cells play the role of absorbers in laser resonators.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. K. A. Lyakhov, A. N. Pechen, and H. J. Lee, “Some features of boron isotopes separation by the laser-assisted retardation of condensation method in multipass irradiation cell implemented as a resonator,” IEEE J. Quantum Electr., 52, 1400208-1-8 (2016).

  2. K. A. Lyakhov, A. N. Pechen, and H. J. Lee, “Some issues of industrial scale boron isotopes separation by the laser assisted retarded condensation (SILARC) method,” Separation Purification Technology, 176, 402–411 (2017).

    Article  Google Scholar 

  3. J. W. Eerkens, “Laser-induced migration and isotope separation of epi-thermal monomers and dimers in supercooled free jets,” Laser Particle Beams, 25, 225–253 (2005).

    Article  Google Scholar 

  4. P. Mathi, V. Parthasarathy, A. K. Nayak, J. P. Mittal, and S. K. Sarkar, “Laser isotope separation: Science and technology,” Proc. Natl. Acad. Sci. India, Sec. A: Phys. Sci., 1–16 (2015); https://doi.org/10.1007/s40010-015-0249-6

Download references

Author information

Authors and Affiliations

  1. V. A. Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia

    K. A. Lyakhov & A. N. Pechen’

  2. Cheju National University, Cheju, Jeju-si, South Korea

    K. A. Lyakhov

  3. National Research University of Science and Technology MISiS, Moscow, Russia

    A. N. Pechen’

Authors
  1. K. A. Lyakhov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. N. Pechen’
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to K. A. Lyakhov.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 151, Quantum Probability, 2018.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lyakhov, K.A., Pechen’, A.N. Objective Function in the Problem of Optimal Laser-Assisted Separation of Isotopes by the Method of Selective Retardation of Condensation. J Math Sci 252, 60–64 (2021). https://doi.org/10.1007/s10958-020-05141-0

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-020-05141-0

Keywords and phrases

AMS Subject Classification

Search

Navigation