3 years ago

Asymptotic Solutions of the Kinetic Equation of the Radiation Propagation, Asymptotic Approximation of the $n$-th Order and the Improved Boundary Conditions.

S. A. Serov, S. S. Serova

In the paper, asymptotic solutions of the kinetic equation of radiation propagation are constructed for two extreme cases: optically thin and optically thick media; in calculations for radiation propagation in optically thick media it is suggested to use asymptotic approximations of the $n$-th order. A formal solution has been obtained for the kinetic equation of radiation propagation along the line in the form of infinite series, %and it is shown, that for the optically thick medium, when the infinite series are certainly convergent, this formal solution is similar to the constructed asymptotic solution of the kinetic equation of radiation propagation. From the formal solution of the kinetic equation of radiation propagation, improved boundary conditions (for inner boundaries and outer boundaries with vacuum), essential for practical application to calculations of radiation propagation, are derived.

Publisher URL: http://arxiv.org/abs/1801.05773

DOI: arXiv:1801.05773v1

You might also like
Discover & Discuss Important Research

Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.