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Design Example: Underdamped Parallel RLC Circuit

Design Example: Underdamped Parallel RLC Circuit

Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
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Parallel Resonance

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Characteristics of Series Resonant Circuit

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Related Experiment Video

Updated: May 16, 2026

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

Kerr frequency comb generation in overmoded resonators.

A A Savchenkov¹, A B Matsko, W Liang

¹OEwaves Inc., Pasadena, CA 91107, USA.

|November 29, 2012

Summary

This summary is machine-generated.

Scattering-based optical mode interaction is key for low-threshold Kerr frequency combs, significantly altering group velocity dispersion (GVD) and enabling comb generation even in resonators with large normal GVD.

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Published on: June 8, 2018

Area of Science:

Nonlinear optics
Quantum optics
Optical resonators

Background:

Kerr frequency combs are generated in nonlinear optical resonators.
Group velocity dispersion (GVD) influences comb generation thresholds.
Understanding mode interactions is crucial for optimizing comb generation.

Purpose of the Study:

To investigate the role of scattering-based interaction among optical modes in Kerr frequency comb generation.
To understand how mode interaction affects GVD and oscillation thresholds.
To explain the prevalence of frequency combs in resonators with large normal GVD.

Main Methods:

Numerical simulations of optical mode interactions.
Analysis of experimental data from nonlinear optical resonators.
Theoretical investigation of scattering-based mode coupling.

Main Results:

Scattering-based interaction among nearly degenerate optical modes is identified as the primary factor for low-threshold Kerr frequency comb generation.
Mode interaction drastically alters local GVD, significantly reducing or increasing the oscillation threshold.
Mode interaction explains the majority of observed optical frequency combs in resonators with large normal GVD.

Conclusions:

Mode interaction is a critical mechanism for efficient Kerr frequency comb generation.
The findings provide insights into controlling GVD and optimizing comb generation in optical resonators.
This study clarifies the underlying physics of frequency comb formation across different GVD regimes.