Graduate Seminar

When

December 3, 2014    
1:10 pm - 2:00 pm

Where

3043 ECpE Building Addition
Coover Hall, Ames, Iowa, 50011

Event Type

Title: Analysis of Guided and Leaky TM0n and TE0n Modes in Circular Dielectric Waveguide

Speaker: Siming Yang, ECpE Graduate Student

Advisor: Jiming Song, Associate Professor

Abstract: Geometrical configurations based on circular rod are very popular. The investigation related to guided and leaky modes of dielectric rod have been established in earlier 1960s. However, there are still many ambiguous parts left unsolved. In this work, we are trying to analyze the guided and leaky modes by starting from the perspective of special functions to find the solutions supported by the circular structure, which are not emphasized adequately in the previous work. By considering the field distributions, these modes are well defined and classified. The relations for the mode solutions using different types of special functions and Riemann sheets are figured out. Further, completed forms of characteristic equations can be used to solve different modes are presented explicitly. Asymptotic expansion method and Lambert W function are employed to derive the initial guesses around cutoff frequency, low frequency limit and high frequency limit for both TM and TE cases. The behaviors of transverse complex propagation constants for proper and two types of improper modes with different cases are presented with some modes not shown in literatures.

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