Title :
Green´s function asymptotic in periodic medium
Author :
Starkov, Ivan ; Starkov, Alexander
Author_Institution :
SIX Res. Centre, Brno Univ. of Technol., Brno, Czech Republic
Abstract :
Green´s function asymptotic properties of the wave field in a periodic medium is analytically examined. The solution is constructed by the stationary phase method. It is shown that some singularities occur in this approach. Therefore, we focus on the description of the vicinity of a singular cone where the usual stationary phase method fails and determine a smooth transition from the standard asymptotic form to the new one. A detailed analysis of the obtained results is given.
Keywords :
Green´s function methods; wave propagation; Green´s function asymptotic properties; periodic medium; singular cone; singularities; smooth transition; standard asymptotic form; stationary phase method; wave field; Diffraction; Educational institutions; Equations; Green´s function methods; Mathematical model; Periodic structures; Standards;
Conference_Titel :
Days on Diffraction (DD), 2014
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-7331-6
DOI :
10.1109/DD.2014.7036454