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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:
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.
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
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...
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...

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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

Mode coupling between first- and second-order whispering-gallery modes in coupled microdisks.

Jun-Jie Li1, Jia-Xian Wang, Yong-Zhen Huang

  • 1College of Information Science and Engineering, Huaqiao University, Quanzhou, Fujian, China.

Optics Letters
|June 5, 2007
PubMed
Summary

Mode coupling in two microdisks causes split wavelengths. Anticrossing coupling can occur, reducing the quality factor of whispering-gallery modes (WGMs).

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Area of Science:

  • Optics and Photonics
  • Nanotechnology
  • Computational Physics

Background:

  • Whispering-gallery modes (WGMs) are crucial for microdisk resonators.
  • Coupled microdisk systems exhibit complex mode interactions.
  • Understanding mode coupling is essential for optical device design.

Purpose of the Study:

  • To investigate the mode characteristics of two coupled microdisks.
  • To analyze the phenomenon of mode coupling and its impact on WGM properties.
  • To explore the conditions leading to anticrossing behavior and Q factor reduction.

Main Methods:

  • Utilized the finite-difference time-domain (FDTD) technique for numerical simulations.
  • Analyzed mode coupling between same-order WGMs in coupled microdisks.
  • Examined the time variation of mode field patterns.

Main Results:

  • Mode coupling between same-order WGMs leads to split mode wavelengths.
  • A crossing point in split mode wavelengths can induce anticrossing mode coupling.
  • Anticrossing coupling significantly reduces the mode Q factor of first-order WGMs.
  • Observed mode field transformations between coupled first- and second-order WGMs.

Conclusions:

  • The study elucidates the intricate mode coupling dynamics in dual microdisk systems.
  • Anticrossing coupling is identified as a critical factor affecting resonator performance.
  • Findings provide insights for designing advanced microphotonic devices with tailored Q factors.