Incomplete Gamma Function Approximation for King's Strong-Line Transmittance Model.

Abstract

An approximation to the incomplete gamma function is presented for use with King's model for strong-line molecular transmittance through gases in the infrared. The approximating function circumvents computational problems inherent with the infinite series representation of the incomplete gamma function or of its derivations. A mean transmittance deviation from the series of 0.0002 is obtained over the range of variables of interest in atmospheric applications.

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1975
Accession Number
ADA015522

Entities

People

  • Joseph H. Pierluissi
  • Richard B. Gomez

Organizations

  • United States Army Communications-Electronics Command

Tags

DTIC Thesaurus Topics

  • Cooperation
  • Infinite Series
  • Mathematical Analysis
  • Mathematics
  • Transmittance

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Spectroscopy.