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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:
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...
Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
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...
Parallel Resonance01:23

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:
Resonance and Hybrid Structures02:16

Resonance and Hybrid Structures

According to the theory of resonance, if two or more Lewis structures with the same arrangement of atoms can be written for a molecule, ion, or radical, the actual distribution of electrons is an average of that shown by the various Lewis structures.
Resonance Structures and Resonance Hybrids
The Lewis structure of a nitrite anion (NO2−) may actually be drawn in two different ways, distinguished by the locations of the N–O and N=O bonds.

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Updated: Jun 2, 2026

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

Guided-mode resonance in curved grating structures.

Yasuo Ohtera1, Shohei Iijima, Hirohito Yamada

  • 1Graduate School of Engineering, Tohoku University, Sendai 980-8579 Japan. ohtera@ecei.tohoku.ac.jp

Optics Letters
|May 5, 2011
PubMed
Summary
This summary is machine-generated.

Guided-mode resonance in curved gratings shows similar performance to flat gratings within a specific curvature range. This study clarifies key factors affecting reflection performance in these optical structures.

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Area of Science:

  • Optics and Photonics
  • Nanophotonics
  • Wave Phenomena

Background:

  • Guided-mode resonance (GMR) is a phenomenon utilized in various optical devices.
  • Curved grating structures offer potential advantages in optical system design.
  • Understanding GMR in non-planar geometries is crucial for advanced applications.

Purpose of the Study:

  • To investigate the guided-mode resonance phenomenon in curved grating structures.
  • To analyze the impact of curvature radius on resonance characteristics.
  • To identify critical factors influencing reflection performance.

Main Methods:

  • Utilized finite-difference time-domain (FDTD) simulation.
  • Employed a cylindrical coordinate system for accurate modeling.
  • Investigated the dependence of peak reflectivity and bandwidth on curvature radius.

Main Results:

  • Resonance characteristics (peak reflectivity and bandwidth) were found to be comparable to flat gratings within a finite curvature range.
  • The study identified specific curvature ranges where performance is maintained.
  • Key factors governing the reflection performance were elucidated.

Conclusions:

  • Curved grating structures can effectively support guided-mode resonance with performance similar to planar structures under certain conditions.
  • The curvature radius is a critical parameter influencing GMR performance.
  • This research provides insights for designing curved optical elements utilizing GMR.