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Characteristics of Series Resonant Circuit

Characteristics of Series Resonant Circuit

Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:

Parallel Resonance

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:

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Updated: Jul 7, 2026

Fabrication and Characterization of Superconducting Resonators

Fabrication and Characterization of Superconducting Resonators

Published on: May 21, 2016

High performance distributed Bragg reflector microwave resonator.

C A Flory¹, R C Taber

¹Hewlett-Packard Co., Palo Alto, CA.

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

|January 1, 1997

Summary

This summary is machine-generated.

A novel microwave resonator using sapphire distributed Bragg reflectors (DBR) achieves exceptionally high Q-factors, surpassing conventional designs. This breakthrough offers superior performance for room temperature microwave applications.

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Fabrication and Characterization of Superconducting Resonators

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Area of Science:

Physics
Materials Science
Electrical Engineering

Background:

Conventional room temperature microwave structures face limitations in achievable Q-factors.
High Q-factors are crucial for enhancing the performance and efficiency of various microwave devices.

Purpose of the Study:

To introduce and analyze a novel resonator device structure utilizing distributed Bragg reflectors (DBR) for significantly improved Q-factors.
To demonstrate the theoretical and experimental validation of this new resonator design.

Main Methods:

The proposed structure employs a microwave cavity with enclosure walls made of low-loss sapphire distributed Bragg reflectors (DBR).
Theoretical analysis was performed to determine the precise dimensions and positions of the sapphire components for specific resonant frequencies.
Experimental validation was conducted on resonators designed for 9.0 GHz and 13.2 GHz.

Main Results:

The new resonator structure achieves Q-factors significantly higher than conventional room temperature microwave structures.
Experimental results show measured unloaded Q-factors exceeding 650,000 at 9.0 GHz and 450,000 at 13.2 GHz at room temperature.
Theoretical analysis accurately predicted resonator performance and elucidated the physical mechanism for high efficiency.

Conclusions:

The sapphire DBR resonator structure represents a significant advancement in microwave resonator technology.
This design offers a pathway to achieving unprecedented Q-factors at room temperature, benefiting various microwave applications.
The precise theoretical modeling and experimental validation confirm the efficacy and potential of this innovative resonator design.