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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:
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Related Experiment Video

Updated: Jul 18, 2026

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
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Travelling waves in two-dimensional smectic-C domains.

J Claret1, J Crusats, R Albalat

  • 1Departament de Química Física, Universitat de Barcelona, Martí i Franqués 1, 08028, Barcelona, Catalonia, Spain.

The European Physical Journal. E, Soft Matter
|December 21, 2006
PubMed
Summary

Photosensitive Langmuir monolayers with azobenzene derivatives exhibit orientational travelling waves when irradiated. Dynamic self-assembly models explain wave generation and propagation, highlighting the role of boundary defects.

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Area of Science:

  • Materials Science
  • Soft Matter Physics
  • Chemical Physics

Background:

  • Photosensitive Langmuir monolayers are crucial for advanced material applications.
  • Azobenzene derivatives offer unique light-responsive properties.
  • Understanding dynamic self-assembly in monolayers is key to controlling material behavior.

Purpose of the Study:

  • To investigate the dynamic self-assembly of photosensitive Langmuir monolayers under continuous irradiation.
  • To characterize the nucleation and propagation of orientational travelling waves.
  • To develop a model explaining the observed wave phenomena and the role of defects.

Main Methods:

  • Brewster angle microscopy (BAM) for real-time observation of monolayer dynamics.
  • Image analysis to quantify wave generation and propagation.
  • Development of a theoretical model coupling orientational and composition fields.

Main Results:

  • Continuous irradiation induced orientational travelling waves in smectic-C-like domains.
  • BAM revealed diverse dynamical behaviors in wave formation and propagation.
  • The proposed model successfully explained observed phenomena, including the influence of boundary defects.

Conclusions:

  • Dynamic self-assembly driven by light can generate complex wave patterns in monolayers.
  • Boundary defects play a critical role in initiating and sustaining wave emission.
  • The findings provide insights into controlling self-assembly in photosensitive materials.