Application and Error Analysis of Narrow-angle Parabolic Equation Method in Electromagnetic Wave Propagation at Troposphere

摘要

Parabolic Equation (PE) is one of the effective methods used to study electromagnetic wave propagation at the troposphere. Especially, at an elevation angle between 0-15°, Narrow-angle Parabolic Equation is an efficient method. Firstly, the Narrow-angle Parabolic Equation is derived step by step from wave equation. Secondly, the main errors from narrow-angle parabolic equation derivation are discussed respectively; and the quantitative expressions between relative errors and different factors are established. Thirdly, in order to guarantee the calculation precision of electromagnetic wave propagation at troposphere, the chosen rule of the calculation step length at different frequencies is also studied. Finally, the propagation losses of electromagnetic wave distribution in evaporation duct and hybrid duct are calculated and imaged by Narrow-angle Parabolic Equation respectively.