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Related Concept Videos

Propagation of Waves01:07

Propagation of Waves

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.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
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:
Interference and Diffraction02:18

Interference and Diffraction

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.
Interference: Path Lengths01:10

Interference: Path Lengths

Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
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Sound Waves: Interference00:53

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Sound waves can be modeled either as longitudinal waves, wherein the molecules of the medium oscillate around an equilibrium position, or as pressure waves. When two identical waves from the same source superimpose on each other, the combination of two crests or two troughs results in amplitude reinforcement known as constructive interference. If two identical waves, that are initially in phase, become out of phase because of different path lengths, the combination of crests with troughs...

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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

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Published on: November 30, 2012

Optimal waveguide dimensions for nonlinear interactions.

M Foster, K Moll, Alexander Gaeta

    Optics Express
    |June 2, 2009
    PubMed
    Summary
    This summary is machine-generated.

    Researchers found optimal core sizes in high-index contrast waveguides to maximize nonlinearity for all-optical devices. These designs enable ultra-low threshold nonlinear frequency generation, like supercontinuum generation.

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    Area of Science:

    • Optics and Photonics
    • Materials Science

    Background:

    • High core-cladding index contrast waveguides enable strong light confinement.
    • Waveguide dimensions near or below the wavelength of light are crucial for enhanced nonlinear effects.

    Purpose of the Study:

    • To investigate strong light confinement in high index contrast waveguides.
    • To determine optimal waveguide dimensions and cross-sections for maximizing effective nonlinearity.
    • To explore potential applications in low-power all-optical devices and nonlinear frequency generation.

    Main Methods:

    • Numerical simulations of light confinement in waveguides with oval and rectangular cross-sections.
    • Analysis of effective nonlinearity as a function of core size and shape.
    • Calculation of group-velocity dispersion for optimal waveguide designs.

    Main Results:

    • An optimal core size exists that maximizes effective nonlinearity for both oval and rectangular waveguides.
    • Asymmetrical cross-sections offer a slight improvement in nonlinearity over symmetric ones.
    • Maximum nonlinearity occurs at similar core areas across different waveguide shapes.
    • Optimal waveguides exhibit normal group-velocity dispersion.

    Conclusions:

    • Waveguide designs with optimized dimensions and cross-sections can significantly enhance nonlinearity.
    • These findings pave the way for developing efficient low-power all-optical devices.
    • The study provides a pathway for creating waveguides for ultra-low threshold nonlinear frequency generation, including supercontinuum generation.