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

Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Modes of Standing Waves: II01:04

Modes of Standing Waves: II

The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.
Modes of Standing Waves - I01:03

Modes of Standing Waves - I

A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This phenomenon...
Standing Waves01:17

Standing Waves

Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...
Effective Value of a Periodic Waveform01:07

Effective Value of a Periodic Waveform

The concept of effective value, the root mean square (RMS) value, is crucial in understanding electrical circuits and power delivery. This idea emerges from the necessity to measure the effectiveness of a voltage or current source in supplying power to a resistive load.
The effective value of a periodic current represents the direct current (DC) that conveys the same average power to a resistor as the periodic current itself. This concept is crucial when assessing AC circuits. To determine the...
Travelling Waves01:04

Travelling Waves

A wave is a disturbance that propagates from its source, repeating itself periodically, and is typically associated with simple harmonic motion. Mechanical waves are governed by Newton's laws and require a medium to travel. A medium is a substance in which a mechanical wave propagates, and the medium produces an elastic restoring force when it is deformed.
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is water;...

You might also read

Related Articles

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

Sort by
Same author

Rooting for the Future: Combating Dental Deforestation.

International dental journal·2025
Same author

Correction to: Abaloparatide effect on forearm bone mineral density and wrist fracture risk in postmenopausal women with osteoporosis.

Osteoporosis international : a journal established as result of cooperation between the European Foundation for Osteoporosis and the National Osteoporosis Foundation of the USA·2020
Same author

Correction to: Abaloparatide effect on forearm bone mineral density and wrist fracture risk in postmenopausal women with osteoporosis.

Osteoporosis international : a journal established as result of cooperation between the European Foundation for Osteoporosis and the National Osteoporosis Foundation of the USA·2020
Same author

Long-term Case Reports Demonstrating Use of Porcine Collagen Matrix to Augment Width and Thickness of Keratinized Gingiva.

Compendium of continuing education in dentistry (Jamesburg, N.J. : 1995)·2020
Same author

Efficacy and safety of denosumab vs. bisphosphonates in postmenopausal women previously treated with oral bisphosphonates.

Osteoporosis international : a journal established as result of cooperation between the European Foundation for Osteoporosis and the National Osteoporosis Foundation of the USA·2019
Same author

Long-term denosumab treatment restores cortical bone loss and reduces fracture risk at the forearm and humerus: analyses from the FREEDOM Extension cross-over group.

Osteoporosis international : a journal established as result of cooperation between the European Foundation for Osteoporosis and the National Osteoporosis Foundation of the USA·2019

Related Experiment Video

Updated: Jul 8, 2026

Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor
07:28

Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor

Published on: August 30, 2012

Modes of periodic waveguides.

J A Besley, N N Akhmediev, P D Miller

    Optics Letters
    |August 1, 1997
    PubMed
    Summary

    We precisely calculated two bound Floquet modes in a periodic waveguide created by a nonlinear Schrödinger equation soliton. These modes, degenerate at the writing frequency, show potential for spectral filtering applications.

    Area of Science:

    • Nonlinear optics
    • Waveguide theory
    • Soliton dynamics

    Background:

    • Periodic waveguides are crucial for optical signal processing.
    • Solitons in nonlinear media can induce stable waveguide structures.
    • Floquet modes describe the behavior of waves in periodic systems.

    Purpose of the Study:

    • To analytically determine the bound Floquet modes in a waveguide induced by a second-order soliton.
    • To investigate the properties of these modes, particularly their degeneracy.
    • To explore potential applications in optical filtering.

    Main Methods:

    • Exact calculation of Floquet modes.
    • Analysis of the nonlinear Schrödinger equation for soliton solutions.
    • Investigation of mode degeneracy based on quasi-propagation constants.

    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

    Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
    11:08

    Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

    Published on: November 30, 2012

    Related Experiment Videos

    Last Updated: Jul 8, 2026

    Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor
    07:28

    Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor

    Published on: August 30, 2012

    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

    Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
    11:08

    Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

    Published on: November 30, 2012

    Main Results:

    • Identified and calculated two distinct bound Floquet modes.
    • Found that the modes are degenerate at the specific writing frequency.
    • Determined that the degenerate modes share the same quasi-propagation constant.

    Conclusions:

    • The degeneracy of Floquet modes suggests a novel mechanism for spectral filtering.
    • The exact calculation provides a theoretical foundation for designing such optical devices.
    • This work opens avenues for advanced optical signal processing using soliton-induced waveguides.