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Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
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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: Interference00:53

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Related Experiment Video

Updated: Jul 8, 2026

Three-dimensional Optical-resolution Photoacoustic Microscopy
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Published on: May 3, 2011

Two-dimensional control of optical spatial coherence by acoustooptic interactions.

Y Ohtsuka1, Y Nozoe

  • 1Hokkaido University, Faculty of Engineering, Department of Engineering Science, Sapporo, Hokkaido 060, Japan.

Applied Optics
|November 15, 1983
PubMed
Summary

This study introduces a novel method for controlling spatial coherence using multiple ultrasonic waves. The technique allows for precise 2-D spatial coherence modification, with results varying periodically in space but remaining uniform azimuthally.

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Area of Science:

  • Acoustics
  • Wave physics
  • Optics

Background:

  • Spatial coherence is crucial in various wave-based applications.
  • Controlling spatial coherence often requires complex setups.
  • Existing methods may lack precise 2-D control capabilities.

Purpose of the Study:

  • To present a new method for two-dimensional (2-D) control of spatial coherence.
  • To investigate the use of multiple, crossing ultrasonic waves for coherence modification.
  • To analyze the spatial and azimuthal uniformity of the coherence modification factor.

Main Methods:

  • Employing multiple ultrasonic waves with differing frequencies.
  • Arranging ultrasonic waves in orthogonal and three symmetric directions.
  • Analyzing the coherence modification factor as a product of individual factors.
  • Conducting experimental validation of the proposed arrangements.

Main Results:

  • Demonstrated 2-D spatial coherence control using intersecting ultrasonic fields.
  • The coherence modification factor exhibited periodic spatial variation.
  • Azimuthal uniformity was observed for specific two-point separations relative to wavelength.
  • The combined effect of multiple ultrasonic waves followed a multiplicative model.

Conclusions:

  • The described method offers effective 2-D spatial coherence control.
  • The arrangement of ultrasonic waves significantly influences coherence modification.
  • The findings have implications for applications requiring precise control of wave coherence.