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

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
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...
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration01:16

IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration

A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
According to Hooke's law, the vibrational frequency is directly proportional to the...

You might also read

Related Articles

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

Sort by
Same author

Analysis of laser beam quality degradation caused by quartic phase aberrations.

Applied optics·2010
Same author

Single-pulse laser beam quality measurements using a CCD camera system.

Applied optics·2010
Same author

Orthogonality properties of phase conjugate optical resonators.

Applied optics·2010
Same author

Colliding pulse mode locking of a Nd:YAG laser with an antiresonant ring structure.

Applied optics·2010
Same author

Photoacoustic cell using elliptical acoustic focusing.

Applied optics·2010
Same author

Resonant modes of optical cavities with phase conjugate mirrors: higher-order modes.

Applied optics·2010

Related Experiment Video

Updated: Jun 16, 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 optical resonator loss calculations using the prony method.

A E Siegman, H Y Miller

    Applied Optics
    |January 23, 2010
    PubMed
    Summary

    Researchers computed resonant modes for unstable optical resonators using the Prony method. An equivalence relation simplifies designing practical single-ended resonators from symmetric resonator data.

    Area of Science:

    • Optics and Photonics
    • Laser Physics
    • Computational Physics

    Background:

    • Unstable optical resonators are crucial components in high-power laser systems.
    • Understanding resonant modes is essential for optimizing laser performance and stability.
    • Designing practical single-ended unstable resonators often relies on data from simpler symmetric configurations.

    Purpose of the Study:

    • To compute eigenvalues for significant low-order resonant modes in unstable optical resonators with circular mirrors.
    • To establish a general equivalence relation for resonator design.
    • To facilitate the design of practical single-ended unstable resonators.

    Main Methods:

    • Utilized the Prony eigenvalue method for accurate computation of resonant mode eigenvalues.

    More Related Videos

    Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
    12:18

    Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

    Published on: August 5, 2013

    Related Experiment Videos

    Last Updated: Jun 16, 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

    Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
    12:18

    Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

    Published on: August 5, 2013

  • Developed a general equivalence relation connecting different unstable resonator configurations.
  • Applied computational techniques to analyze optical resonator properties.

    • Main Results:

    • Successfully computed eigenvalues for significant low-order resonant modes of unstable optical resonators.
    • Established a general equivalence relation enabling parameter derivation.
    • Provided a method to obtain design parameters for single-ended resonators from symmetric resonator data.

    Conclusions:

    • The Prony method is effective for analyzing unstable optical resonator modes.
    • The derived equivalence relation simplifies the design process for practical laser resonators.
    • This work offers a valuable tool for optical engineers and laser designers.