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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:

Series Resonance

Series Resonance

The RLC circuit impedance is defined as the ratio of the supply voltage to the circuit current. Resonance in such a circuit occurs when the imaginary part of this impedance equals zero. This specific condition means that the inductive reactance is exactly equal to the capacitive reactance. The frequency at which this happens is known as the resonant frequency. Mathematically, the resonant frequency is inversely proportional to the square root of the product of the inductance (L) and capacitance...

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Related Experiment Video

Updated: Mar 8, 2026

Fabrication of Silica Ultra High Quality Factor Microresonators

Fabrication of Silica Ultra High Quality Factor Microresonators

Published on: July 2, 2012

Microfiber knot resonator with 10⁷ Q-factor record.

Xinxin Zhou¹, Zixuan Ding¹, Fei Xu^2,3

¹National Laboratory of Solid-State Microstructures and College of Engineering and Applied Sciences, Nanjing University, Nanjing, 210023, China.

Light, Science & Applications

|March 6, 2026

Summary

Researchers developed an ultra-high-quality-factor (UHQ) microfiber knot resonator (MKR) with a record Q-factor of 3.9 × 10⁷. This breakthrough enables advanced all-fiber photonic devices and lasers with unprecedented precision.

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Last Updated: Mar 8, 2026

Fabrication of Silica Ultra High Quality Factor Microresonators

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Published on: July 2, 2012

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

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Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

Published on: April 4, 2016

Area of Science:

Photonics
Materials Science
Optical Engineering

Background:

Ultra-high-quality-factor (UHQ) resonators are crucial for advanced photonic applications.
Existing UHQ resonators are not compatible with all-fiber systems.
Microfiber resonators face challenges in achieving UHQ due to mechanical properties and coupling issues.

Purpose of the Study:

To fabricate an UHQ microfiber knot resonator (MKR) compatible with all-fiber frameworks.
To overcome the Q-factor limitations in microfiber resonators.
To demonstrate the application of UHQ-MKR in all-fiber lasers.

Main Methods:

Developed a fabrication model for UHQ microfiber knot resonators (MKRs).
Controlled environmental parameters to produce high-quality microfibers with uniform stress and low loss.
Investigated coupling mechanisms experimentally and theoretically.

Main Results:

Achieved a record Q-factor of 3.9 × 10⁷, an improvement of three orders of magnitude.
Demonstrated stable and reproducible fabrication of UHQ-MKRs.
Successfully applied the UHQ-MKR in an all-fiber laser to achieve narrow-linewidth single-frequency operation.

Conclusions:

The developed UHQ-MKR fabrication model addresses the Q-factor bottleneck in microfiber resonators.
This research opens a new era for UHQ microfiber resonators exceeding the 10⁷ level.
The UHQ-MKR shows significant potential for precision and efficiency in microfiber guiding-wave photonics.