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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:
Two-Dimensional (2D) NMR: Overview01:12

Two-Dimensional (2D) NMR: Overview

The 1D NMR spectrum of large and complex molecules like natural products has complicated splitting patterns and overlapping signals, which can be easily interpreted using 2-dimensional (2D) NMR. Unlike 1D NMR, 2D NMR has two frequency axes that provide the coupling information between the nucleus A and nucleus B in a molecule. The process from which 2D spectra are obtained has four steps.
The first step is the preparation period, during which nucleus A is excited with a radiofrequency pulse.

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Related Experiment Video

Updated: May 27, 2026

Three-Dimensional Ultrasonic Needle Tip Tracking with a Fiber-Optic Ultrasound Receiver
04:33

Three-Dimensional Ultrasonic Needle Tip Tracking with a Fiber-Optic Ultrasound Receiver

Published on: August 21, 2018

Two-dimensional virtual array for ultrasonic nondestructive evaluation using a time-reversal chaotic cavity.

Youngsoo Choi1, Hunki Lee, Hyun Hong

  • 1School of Mechanical Engineering, Yonsei University, Seoul 120-749, Korea.

The Journal of the Acoustical Society of America
|November 18, 2011
PubMed
Summary
This summary is machine-generated.

A novel two-dimensional virtual array simplifies ultrasonic nondestructive evaluation. This cost-effective system uses minimal transducers for detailed 3D imaging of materials.

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Area of Science:

  • Materials Science
  • Nondestructive Testing
  • Ultrasonic Imaging

Background:

  • Two-dimensional ultrasonic arrays are complex and costly for nondestructive evaluation.
  • Existing technologies limit widespread adoption due to fabrication and operational challenges.

Purpose of the Study:

  • To develop a cost-effective and simplified two-dimensional virtual ultrasonic array.
  • To demonstrate the feasibility of this virtual array for 3D material imaging.

Main Methods:

  • Constructed a virtual array using two transducers and a chaotic cavity with a 10x10 rod matrix.
  • Utilized reciprocal time reversal to calibrate each rod for collimated 2.5 MHz sound beams.
  • Employed pulse-echo interrogation for 10x10 scan lines on solid samples.

Main Results:

  • Successfully created a functional two-dimensional virtual ultrasonic array.
  • Achieved 3D imaging of a 1 cm thick aluminum test piece.
  • Demonstrated pulse-echo interrogation capabilities along 10x10 scan lines.

Conclusions:

  • The developed two-dimensional virtual array offers a practical solution to the complexity and cost issues of traditional arrays.
  • This technology enables effective 3D imaging in nondestructive evaluation applications.