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Related Concept Videos

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.
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Modes of Standing Waves - I

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A common physical example of wave propagation with radial symmetry is the ripple formed when a stone is dropped into a still pond. The disturbance originates at a central point and travels outward as a circular wave. As the radius of the wavefront increases, the same initial energy is distributed along a progressively larger circumference. Consequently, the amplitude, or height, of the wave decreases with distance from the center. This decay behavior cannot be captured by simple sine or cosine...
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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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When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
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The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.

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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

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Published on: August 12, 2013

Tunable Bessel light modes: engineering the axial propagation.

Tomás Cizmár1, Kishan Dholakia

  • 1SUPA, School of Physics & Astronomy, University of St Andrews, North Haugh, St Andrews, Fife KY169SS, Scotland. tc51@st-andrews.ac.uk

Optics Express
|September 3, 2009
PubMed
Summary
This summary is machine-generated.

Researchers developed a new method to control Bessel beams, overcoming intensity variations for better applications. This technique allows for tunable axial intensity and scaling of beam cross-sections.

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Area of Science:

  • Optics and Photonics
  • Laser Physics

Background:

  • Bessel light modes offer diffraction-free propagation, beneficial for applications.
  • Axial intensity variations in Bessel beams limit their practical use.

Purpose of the Study:

  • To present a technique for generating Bessel beams with tunable axial intensity.
  • To engineer Bessel beams with constant axial intensity.
  • To demonstrate Bessel beams with controllable propagation constants for tunable scaling.

Main Methods:

  • Utilizing spatial frequencies to control beam generation.
  • Engineering beam properties through a novel technique.

Main Results:

  • Achieved Bessel beams with tunable axial intensity profiles.
  • Demonstrated Bessel beams with constant intensity along propagation.
  • Created Bessel beams with varying propagation constants, enabling tunable lateral scaling.

Conclusions:

  • The presented technique effectively addresses the limitations of Bessel beam intensity variations.
  • This method enhances the applicability of Bessel beams in various scientific and technological fields.
  • Tunable Bessel beams offer new possibilities for optical manipulation and imaging.