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Related Concept Videos

Forced Oscillations01:06

Forced Oscillations

When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
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.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
One-Degree-of-Freedom System01:24

One-Degree-of-Freedom System

In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
Node Analysis for AC Circuits01:14

Node Analysis for AC Circuits

Consider an angioplasty system featuring a catheter equipped with a turbine, a critical tool for removing plaque deposits from coronary arteries. This intricate medical device operates using a circuit model reminiscent of a dual-node RLC circuit powered by a current-controlled voltage source.
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Circular Shaft - Stresses in Linear Range01:13

Circular Shaft - Stresses in Linear Range

Consider a scenario where a circular shaft is subject to torque that remains within the boundaries of Hooke's Law, avoiding any permanent deformation. So, the formula for shearing strain is revisited. This formula is multiplied by the modulus of rigidity, and then Hooke's Law for the shearing stress and strain is applied. As a result, the equation for shearing stress in a shaft can be derived.
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...

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Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
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Published on: December 15, 2021

Annular symmetry nonlinear frequency converters.

Dror Kasimov, Ady Arie, Emil Winebrand

    Optics Express
    |June 17, 2009
    PubMed
    Summary

    Researchers developed a novel 2D nonlinear structure with continuous rotational symmetry for quasi-phase matching. This structure enables simultaneous multi-directional frequency doubling and offers wide phase-mismatch tolerance, advancing nonlinear optics applications.

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    Area of Science:

    • Nonlinear Optics
    • Materials Science

    Background:

    • Quasi-phase matching (QPM) is crucial for efficient nonlinear optical frequency conversion.
    • Traditional QPM structures rely on periodic lattices, limiting certain functionalities.

    Purpose of the Study:

    • To introduce and characterize a novel two-dimensional nonlinear structure with continuous rotational symmetry for quasi-phase matching.
    • To explore its unique phase-matching attributes compared to periodic structures.

    Main Methods:

    • Fabrication of annular symmetry structures in LiNbO(3) and stoichiometric LiTaO(3) using indirect e-beam and electric field poling methods.
    • Characterization of second harmonic generation (SHG) to evaluate conversion efficiencies and angular/thermal dependencies.

    Main Results:

    • The annular symmetry structure enables simultaneous phase-matched frequency doubling into multiple directions.
    • Demonstrated significantly wide phase-mismatch tolerance, where power is maintained but direction changes.

    Conclusions:

    • The developed annular symmetry structure offers distinct advantages over periodic QPM structures.
    • This new design opens possibilities for advanced nonlinear optical devices with enhanced functionalities and robustness.