Abstract
AbstractWith a view to application to millimeter wave integrated circuits, we analyze theoretically resonance characteristics of a whispering gallery mode (W.G. mode) propagating along a circumference of an elliptical dielectric cylinder. A wave equation is derived in an elliptic coordinate system and an eigenvalue equation includes Mathieu functions with a large order is obtained. Since this eigenvalue equation is an infinite dimensional determinant, we introduce a new technique to solve the eigenvalue equation. In this determinant, we pay our attention to diagonal elements that affect mainly resonance order. By means of this approach, it becomes possible to estimate a number of approximate terms of the eigenvalue equation to keep an accuracy of a resonance frequency constant even if an eccentricity of the ellipse is increased, namely the ellipse is flatter. It is also possible to find numerically the resonance frequency and electric field distribution of the W.G. mode for the elliptical cylinders with various eccentricity.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Electronics and Communications in Japan (Part II: Electronics)
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
