Title : 
A study of numerical reflections caused by FDTD mesh refinements in 1D and 2D
         
        
            Author : 
Celuch-Marcysiak, Matgorzata ; Rudnicki, Janusz
         
        
            Author_Institution : 
Inst. Radioelektroniki, Politech. Warszawska, Warsaw, Poland
         
        
        
        
        
        
            Abstract : 
A study of FDTD solutions on variable and subgridded meshes is presented. The effect of numerical reflections previously known from simulation practice is mathematically confirmed. It is shown that the magnitude of reflections can be accurately predicted by combining the numerical dispersion relations in the two mesh subregions, Snell´s law, and electric field continuity condition. The theory is validated for the 2D TE modes at normal and oblique incidence.
         
        
            Keywords : 
electromagnetic wave reflection; finite difference time-domain analysis; mesh generation; microwave devices; microwave propagation; waveguide theory; 2D TE mode; FDTD mesh refinement; FDTD solution; Snell law; electric field continuity condition; mesh subregion; normal oblique incidence; numerical dispersion relation; numerical reflection; variable subgridded mesh; Dispersion; Finite difference methods; Interpolation; Microwave devices; Microwave theory and techniques; Polarization; Reflection; Spline; Tellurium; Time domain analysis;
         
        
        
        
            Conference_Titel : 
Microwaves, Radar and Wireless Communications, 2004. MIKON-2004. 15th International Conference on
         
        
            Print_ISBN : 
83-906662-7-8
         
        
        
            DOI : 
10.1109/MIKON.2004.1357108