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Related Concept Videos

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...
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Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...
Modes of Standing Waves: II01:04

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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.
Standing Waves in a Cavity01:28

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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:
Standing Electromagnetic Waves01:15

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Electromagnetic waves can be reflected; the surface of a conductor or a dielectric can act as a reflector. As electric and magnetic fields obey the superposition principle, so do electromagnetic waves. The superposition of an incident wave and a reflected electromagnetic wave produces a standing wave analogous to the standing waves created on a stretched string.
Suppose a sheet of a perfect conductor is placed in the yz-plane, and a linearly polarized electromagnetic wave traveling in the...
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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...

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Harmonic Nanoparticles for Regenerative Research
09:23

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Published on: May 1, 2014

Bound and free waves in non-collinear second harmonic generation.

M C Larciprete1, F A Bovino, A Belardini

  • 1Dipartimento di Energetica, Università di Roma La sapienza, Via A.Scarpa 16 00161 Roma, Italy. mariacristina.larciprete@uniroma1.it

Optics Express
|September 23, 2009
PubMed
Summary

This study explores bound and free waves in noncollinear second-harmonic generation (SHG). Polarization mapping reveals wave interference and absorption effects in thin samples.

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Area of Science:

  • Nonlinear Optics
  • Solid-State Physics

Background:

  • Second-harmonic generation (SHG) is a key nonlinear optical process.
  • Understanding wave interactions, including bound and free waves, is crucial for material characterization.

Purpose of the Study:

  • To analyze the relationship between bound and free waves in noncollinear SHG.
  • To investigate the influence of polarization and absorption on generated power.
  • To demonstrate the utility of polarization mapping for studying wave interference.

Main Methods:

  • Theoretical analysis of vectorial conservation laws for two-pump beam incidence.
  • Systematic investigation of generated power by varying fundamental beam polarization.
  • Inclusion of absorption using Herman and Hayden correction terms.
  • Theoretical simulations for thin samples (coherence length thickness).

Main Results:

  • Polarization mapping effectively visualizes interference between bound and free waves.
  • Absorption significantly affects the interference patterns observed.
  • The study quantifies the generated power based on polarization states.

Conclusions:

  • Polarization mapping is a valuable tool for probing bound-free wave interference in SHG.
  • Accurate modeling requires accounting for absorption effects.
  • The noncollinear SHG scheme provides insights into material properties.