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

Sound Waves: Resonance01:14

Sound Waves: Resonance

Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
Design Example: Underdamped Parallel RLC Circuit01:17

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.
Starting with a fixed...
Concept of Resonance and its Characteristics01:19

Concept of Resonance and its Characteristics

If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not immune...
Oscillations about an Equilibrium Position01:04

Oscillations about an Equilibrium Position

Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so because...
Stability of structures01:14

Stability of structures

In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

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

You might also read

Related Articles

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

Sort by
Same author

Unstable resonator alignment using off-axis Gaussian beam propagation.

Applied optics·1984
See all related articles

Related Experiment Video

Updated: Jul 8, 2026

Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators
09:46

Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators

Published on: August 8, 2025

Unstable resonator misalignment in ring and linear toroidal resonators.

A D Schnurr1

  • 1TRW Defense & Space Systems Group, Laser Engineering Department, Redondo Beach, California 90278, USA.

Applied Optics
|January 15, 1983
PubMed
Summary

Investigating optical axis motion in ring resonators reveals how mirror misalignment impacts performance. This study provides new analytical expressions for misalignment in complex linear resonators and toroidal mirrors.

More Related Videos

Fabrication and Characterization of Superconducting Resonators
10:26

Fabrication and Characterization of Superconducting Resonators

Published on: May 21, 2016

Fabrication and Testing of Microfluidic Optomechanical Oscillators
09:10

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

Related Experiment Videos

Last Updated: Jul 8, 2026

Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators
09:46

Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators

Published on: August 8, 2025

Fabrication and Characterization of Superconducting Resonators
10:26

Fabrication and Characterization of Superconducting Resonators

Published on: May 21, 2016

Fabrication and Testing of Microfluidic Optomechanical Oscillators
09:10

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

Area of Science:

  • Optics and Photonics
  • Laser Physics

Background:

  • Ring resonators are critical optical components.
  • Mirror misalignment can degrade resonator performance.
  • Understanding misalignment effects is essential for laser design.

Purpose of the Study:

  • To investigate optical axis motion in ring resonators due to mirror misalignment.
  • To develop analytical expressions for misalignment in various resonator types.
  • To establish quality specifications for toroidal mirrors based on misalignment tolerance.

Main Methods:

  • Constructed an equivalent paraxial model for the ring resonator.
  • Applied the ray matrix formalism to derive analytical expressions.
  • Utilized a geometric optics code for analyzing toroidal mirror errors.

Main Results:

  • Derived analytical expressions for optical axis motion in ring resonators.
  • Demonstrated that the paraxial model simplifies to known results for linear resonators.
  • Identified uncorrectable misalignment conditions in toroidal mirrors and quantified phase front errors.

Conclusions:

  • The paraxial model provides a robust framework for analyzing resonator misalignment.
  • New misalignment expressions are applicable to complex linear resonators.
  • The study offers a basis for setting quality standards for toroidal mirrors.