Title : 
Wave-Interference Explanation of Group-Delay Dispersion in Resonators [Education Column]
         
        
            Author : 
Qingfeng Zhang ; Sounas, D.L. ; Gupta, Swastik ; Caloz, C.
         
        
            Author_Institution : 
Dept. of Electr. Eng., Poly-Grames Res. Center, Montréal, QC, Canada
         
        
        
        
        
        
        
        
            Abstract : 
This paper presents a rigorous and intuitive wave-interference explanation of group-delay dispersion in resonators. It considers both one-port and two-port lossless and lossy resonators under the complementary frequency-domain and time-domain perspectives. The reasons for the group-delay dispersive nature of a resonator and for the phenomenon of negative group delay (superluminality) in a lossy resonator are clearly explained in terms of the constructive and destructive interferences of multiply reflected pulses.
         
        
            Keywords : 
delays; dispersion (wave); electromagnetic interference; electromagnetic pulse; frequency-domain analysis; resonators; time-domain analysis; complementary frequency-domain perspective; lossy resonator; negative group delay dispersion; one-port lossless resonator; resonator; superluminality; time-domain perspective; two-port lossless resonator; wave-interference explanation; Apertures; Cavity resonators; Delays; Dispersion; Lamination; Mathematical model; Pulse propagation; Resonant frequency; Resonators; dispersion; group delay; interference; pulse propagation; superluminality;
         
        
        
            Journal_Title : 
Antennas and Propagation Magazine, IEEE
         
        
        
        
        
            DOI : 
10.1109/MAP.2013.6529352