Title : 
A New Full-Vectorial Higher Order Finite-Difference Scheme for the Modal Analysis of Rectangular Dielectric Waveguides
         
        
            Author : 
Thomas, Nathan ; Sewell, Phillip ; Benson, Trevor M.
         
        
            Author_Institution : 
Syst. Eng. and Assessment, Bath
         
        
        
        
        
        
        
            Abstract : 
This paper presents a new full-vectorial higher order finite-difference scheme for rectangular dielectric waveguides. The method incorporates new difference equations for mesh points that are next to a dielectric interface and points that are near a dielectric corner. Its performance is assessed by means of a number of test problems and compared with that of an existing higher order scheme.
         
        
            Keywords : 
dielectric waveguides; finite difference methods; modal analysis; dielectric corner; dielectric interface; difference equations; full-vectorial higher order finite-difference scheme; mesh points; modal analysis; rectangular dielectric waveguides; Dielectrics; Difference equations; Electromagnetic waveguides; Finite difference methods; Finite wordlength effects; Magnetic fields; Modal analysis; Planar waveguides; Rectangular waveguides; Refractive index; Dielectric corner; dielectric interface; finite difference; higher order;
         
        
        
            Journal_Title : 
Lightwave Technology, Journal of
         
        
        
        
        
            DOI : 
10.1109/JLT.2007.903557