Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Modes of Standing Waves: II

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 - I

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...

Standing Waves in a Cavity

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:

What is a Mode?

What is a Mode?

The mode is one of the commonly used measures of a central tendency. It is defined as the most frequent value in a data set.
There can be more than one mode in a data set if multiple values have the same highest frequency. For instance, suppose that the Statistics exam scores of 20 students are: 50; 53; 59; 59; 63; 63; 72; 72; 72; 72; 72; 76; 78; 81; 83; 84; 84; 84; 90; 93. Here, the mode is 72, as it occurs most frequently, five times.
A data set with two modes is called bimodal. For example,...

Parallel Resonance

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:

Ventilatory Modes

Ventilatory Modes

Mechanical ventilators are life-saving devices that support or replace spontaneous breathing. They deliver breaths to patients through varying methods known as ventilator modes. Understanding these modes is critical for healthcare providers managing patients with respiratory failure.
There are three ventilatory modes: full support, partial support, and spontaneous. These are described below.
Full Support Modes
Full support modes include controlled mechanical ventilation, continuous mandatory...

You might also read

Related Articles

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

Sort by

Same author

Graded Quasiperiodic Metamaterials Perform Fractal Rainbow Trapping.

Physical review letters·2023

Same author

Erratum: Elastic Orbital Angular Momentum [Phys. Rev. Lett. 128, 064301 (2022)].

Physical review letters·2022

Same author

Elastic Orbital Angular Momentum.

Physical review letters·2022

Same author

Low-frequency wave-energy amplification in graded two-dimensional resonator arrays.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2019

Same author

Tailoring drug release rates in hydrogel-based therapeutic delivery applications using graphene oxide.

Journal of the Royal Society, Interface·2018

Same author

Unveiling Extreme Anisotropy in Elastic Structured Media.

Physical review letters·2017

Same journal

Computational modelling distinguishes diverse contributors to aneurysmal progression in the Marfan aorta.

Proceedings. Mathematical, physical, and engineering sciences·2025

Same journal

Inferring the shape of data: a probabilistic framework for analysing experiments in the natural sciences.

Proceedings. Mathematical, physical, and engineering sciences·2023

Same journal

The Elbert range of magnetostrophic convection. I. Linear theory.

Proceedings. Mathematical, physical, and engineering sciences·2022

Same journal

Soft wetting with (a)symmetric Shuttleworth effect.

Proceedings. Mathematical, physical, and engineering sciences·2022

Same journal

The quantum theory of time: a calculus for q-numbers.

Proceedings. Mathematical, physical, and engineering sciences·2022

Same journal

Integrable nonlinear evolution equations in three spatial dimensions.

Proceedings. Mathematical, physical, and engineering sciences·2022

See all related articles

Search research articles

Related Experiment Video

Updated: Mar 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

Whispering Bloch modes.

B Maling¹, R V Craster¹

¹Department of Mathematics , Imperial College London , London SW7 2AZ, UK.

Proceedings. Mathematical, Physical, and Engineering Sciences

|August 6, 2016

Summary

This summary is machine-generated.

We introduce whispering Bloch modes (WBMs) for open systems with rotational symmetry, similar to whispering gallery modes but without requiring material boundaries. Perturbing symmetry can lead to field enhancement.

Keywords:

Bloch waves asymptotics plasmonics

More Related Videos

Development of Whispering Gallery Mode Polymeric Micro-optical Electric Field Sensors

Development of Whispering Gallery Mode Polymeric Micro-optical Electric Field Sensors

Published on: January 29, 2013

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

Published on: April 4, 2016

Related Experiment Videos

Last Updated: Mar 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

Development of Whispering Gallery Mode Polymeric Micro-optical Electric Field Sensors

Development of Whispering Gallery Mode Polymeric Micro-optical Electric Field Sensors

Published on: January 29, 2013

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

Published on: April 4, 2016

Area of Science:

Acoustics and Wave Phenomena
Mathematical Physics
Computational Electromagnetics

Background:

Whispering gallery modes are crucial in photonic micro-resonators, relying on material boundaries for confinement.
Open systems with rotational symmetry present unique challenges for wave confinement and analysis.
Understanding wave behavior in such systems is key to developing novel optical and acoustic devices.

Purpose of the Study:

To investigate eigenvalue problems for the planar Helmholtz equation in open systems with high rotational symmetry.
To introduce and characterize a new type of wave mode, termed whispering Bloch modes (WBMs).
To explore the effects of breaking rotational symmetry on these modes, potentially leading to field enhancement.

Main Methods:

Utilizing expansion methods to solve eigenvalue problems for the Helmholtz equation.
Applying a two-scale asymptotic scheme for detailed analysis of WBMs.
Investigating two specific geometries with high rotational symmetry.

Main Results:

Identified solutions analogous to whispering gallery modes, termed whispering Bloch modes (WBMs).
Demonstrated that confinement in WBMs arises from geometric inclusions, not material boundaries.
Observed asymmetric field patterns and potential field enhancement upon perturbation of rotational symmetry.

Conclusions:

Whispering Bloch modes represent a novel wave phenomenon in open, rotationally symmetric systems.
Geometric configurations can effectively confine waves without the need for surrounding material boundaries.
Symmetry breaking offers a pathway to control wave behavior and achieve desirable effects like field enhancement.