A unified theory for the characteristics of dual modes in a circular resonator is elucidated in simple analytical expressions. First, a circular resonator is considered as a ring transmission line which allows two oppositely traveling waves. The essential quantities that characterize a transmission line, i. e. , the propagation constant and characteristic impedance are obtained theoretically and/or experimentally. Secondly, any circular resonator is described by a ring resonator model which can be treated analytically, and the resonant frequencies are obtained when perturbations are added along the periphery of a circular resonator. A two stage BPF is created by adding I/O ports to the perturbed circular resonator. Its center frequency and bandwidth is calculated based on the ring resonator model. The circuit condition for obtaining two attenuation poles at both sides of the passband is given together with the method for their control.
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Ikuo AWAI, "General Theory of a Circular Dual-Mode Resonator and Filter" in IEICE TRANSACTIONS on Electronics,
vol. E81-C, no. 11, pp. 1757-1763, November 1998, doi: .
Abstract: A unified theory for the characteristics of dual modes in a circular resonator is elucidated in simple analytical expressions. First, a circular resonator is considered as a ring transmission line which allows two oppositely traveling waves. The essential quantities that characterize a transmission line, i. e. , the propagation constant and characteristic impedance are obtained theoretically and/or experimentally. Secondly, any circular resonator is described by a ring resonator model which can be treated analytically, and the resonant frequencies are obtained when perturbations are added along the periphery of a circular resonator. A two stage BPF is created by adding I/O ports to the perturbed circular resonator. Its center frequency and bandwidth is calculated based on the ring resonator model. The circuit condition for obtaining two attenuation poles at both sides of the passband is given together with the method for their control.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e81-c_11_1757/_p
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@ARTICLE{e81-c_11_1757,
author={Ikuo AWAI, },
journal={IEICE TRANSACTIONS on Electronics},
title={General Theory of a Circular Dual-Mode Resonator and Filter},
year={1998},
volume={E81-C},
number={11},
pages={1757-1763},
abstract={A unified theory for the characteristics of dual modes in a circular resonator is elucidated in simple analytical expressions. First, a circular resonator is considered as a ring transmission line which allows two oppositely traveling waves. The essential quantities that characterize a transmission line, i. e. , the propagation constant and characteristic impedance are obtained theoretically and/or experimentally. Secondly, any circular resonator is described by a ring resonator model which can be treated analytically, and the resonant frequencies are obtained when perturbations are added along the periphery of a circular resonator. A two stage BPF is created by adding I/O ports to the perturbed circular resonator. Its center frequency and bandwidth is calculated based on the ring resonator model. The circuit condition for obtaining two attenuation poles at both sides of the passband is given together with the method for their control.},
keywords={},
doi={},
ISSN={},
month={November},}
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TY - JOUR
TI - General Theory of a Circular Dual-Mode Resonator and Filter
T2 - IEICE TRANSACTIONS on Electronics
SP - 1757
EP - 1763
AU - Ikuo AWAI
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E81-C
IS - 11
JA - IEICE TRANSACTIONS on Electronics
Y1 - November 1998
AB - A unified theory for the characteristics of dual modes in a circular resonator is elucidated in simple analytical expressions. First, a circular resonator is considered as a ring transmission line which allows two oppositely traveling waves. The essential quantities that characterize a transmission line, i. e. , the propagation constant and characteristic impedance are obtained theoretically and/or experimentally. Secondly, any circular resonator is described by a ring resonator model which can be treated analytically, and the resonant frequencies are obtained when perturbations are added along the periphery of a circular resonator. A two stage BPF is created by adding I/O ports to the perturbed circular resonator. Its center frequency and bandwidth is calculated based on the ring resonator model. The circuit condition for obtaining two attenuation poles at both sides of the passband is given together with the method for their control.
ER -