Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

State Space Representation01:27

State Space Representation

206
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
206
Small-signal Diode Model01:18

Small-signal Diode Model

816
In analyzing the behavior of diodes in circuits, the relationship between the current through a diode and the voltage across it is of particular interest, especially when considering the effect of a direct current (DC) bias voltage. When applied, this DC bias influences the diode's operating point, known as the Q point, around which the current-voltage (I-V) characteristic of the diode exhibits exponential behavior. Introducing a small, time-varying signal on top of this bias aids in...
816
Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

2.3K
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
2.3K
Transfer Function to State Space01:23

Transfer Function to State Space

249
State-space representation is a powerful tool for simulating physical systems on digital computers, necessitating the conversion of the transfer function into state-space form. Consider an nth-order linear differential equation with constant coefficients, like those encountered in an RLC circuit. The state variables are selected as the output and its n−1 derivatives. Differentiating these variables and substituting them back into the original equation produces the state equations.
In an...
249
Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

288
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.
Starting with a fixed...
288
RLC Circuit as a Damped Oscillator01:30

RLC Circuit as a Damped Oscillator

973
An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
973

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Spatial transcriptome revealed associated biomarkers for endocrine therapy response in HR-positive/HER2-negative early breast cancer.

Chinese journal of cancer research = Chung-kuo yen cheng yen chiu·2026
Same author

Biomarkers for Pediatric Acute Respiratory Distress Syndrome: A Systematic Review.

Journal of inflammation research·2026
Same author

Capillary ratchets activated by interfacial flows for versatile torque generation and microassembly.

Science advances·2026
Same author

Real-World Analysis of Organ Transplantation-Specific Agent Based on Large Language Model in Post-Transplant Self-Management During Off-Hours: A Mixed-Methods Study.

Current medical science·2026
Same author

Gradient-guided layerwise adaptive noise injection for pre-trained language model fine-tuning.

Scientific reports·2026
Same author

Toward the Era of Precision Immunotherapy: The Clinical Landscape and Future Directions of mRNA Vaccines for the Treatment of Hepatocellular Carcinoma.

Journal of gastroenterology and hepatology·2026

Related Experiment Video

Updated: Jun 29, 2025

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
12:19

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Published on: April 4, 2017

8.4K

Virtual-State Model for Analyzing Electro-Optical Modulation in Ring Resonators.

Zhengyi Wan1, Qizhuang Cen2,3,4, Yuedi Ding5

  • 1State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China.

Physical Review Letters
|April 5, 2024
PubMed
Summary
This summary is machine-generated.

Researchers developed a new theoretical model for electro-optic ring modulators. This "virtual state" model simplifies analyzing intertwined optical processes in dynamic ring resonators.

More Related Videos

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

14.5K
Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.8K

Related Experiment Videos

Last Updated: Jun 29, 2025

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
12:19

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Published on: April 4, 2017

8.4K
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

14.5K
Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.8K

Area of Science:

  • Photonics and Optical Engineering
  • Quantum Technologies
  • Optical Communications

Background:

  • Ring resonators are vital components in optical communication and quantum technology.
  • Existing theoretical models struggle to describe electro-optical modulation in dynamic ring resonators due to intertwined filtering and modulation effects.
  • Rapid modulation of resonance frequency complicates the analysis of physical processes within these devices.

Purpose of the Study:

  • To propose a simplified analytical solution for electro-optic ring modulators.
  • To provide an intuitive theoretical framework for understanding dynamic ring resonator behavior.
  • To enable independent analysis of complex physical processes in modulated ring resonators.

Main Methods:

  • Introduction of a 'virtual state' concept for theoretical modeling.
  • Equating lightwave propagation through a dynamic modulator to excitation to a virtual state and return to a real state.
  • Validation through numerical simulations and experimental results (resonant and detuning modulation).

Main Results:

  • The proposed 'virtual state' model successfully simplifies the analysis of electro-optic modulation.
  • The model demonstrates versatility in analyzing diverse incident signals and modulation formats.
  • Experimental and simulation results show strong agreement, validating the analytical approach.

Conclusions:

  • The 'virtual state' model offers an intuitive and effective theoretical tool for electro-optic ring modulators.
  • This approach facilitates a deeper understanding of dynamic modulation in ring resonators.
  • Dynamic modulation under detuning driving conditions approximates phase modulation.