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Related Concept Videos

Sound Waves: Resonance01:14

Sound Waves: Resonance

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...
The de Broglie Wavelength02:32

The de Broglie Wavelength

In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:
Parallel Resonance01:23

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
Raman Spectroscopy: Overview01:20

Raman Spectroscopy: Overview

The underlying principle of Raman spectroscopy is based on the interaction between light and matter, specifically molecules' inelastic scattering of photons. When a monochromatic beam of light, typically from a laser source, interacts with a sample, most scattered light has the same frequency as the incident light. This is known as Rayleigh scattering.
However, a small fraction of the scattered light exhibits a frequency shift due to the exchange of energy between the incident photons and the...
IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration01:16

IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration

A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
According to Hooke's law, the vibrational frequency is directly proportional to the...

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Updated: Jun 14, 2026

Fabrication and Testing of Microfluidic Optomechanical Oscillators
09:10

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

Spectral approach to optical resonator theory.

M D Feit, J A Fleck

    Applied Optics
    |March 25, 2010
    PubMed
    Summary

    A novel computational method uses discrete Fourier analysis to characterize optical resonator modes. This technique accurately identifies and analyzes the full spectrum of transverse resonator modes.

    Area of Science:

    • Optics and Photonics
    • Computational Physics

    Background:

    • Accurate characterization of optical resonator modes is crucial for designing advanced photonic devices.
    • Existing methods for analyzing optical resonators can be complex and may not capture the full modal spectrum.

    Purpose of the Study:

    • To develop a new, efficient computational method for analyzing unloaded optical resonators.
    • To enable unambiguous identification and accurate characterization of all transverse resonator modes.

    Main Methods:

    • The method employs discrete Fourier analysis of optical field iterations between reflectors.
    • It extends the propagating beam method (PBM) used for optical fibers.
    • A field correlation function is computed, and its Fourier transform reveals eigenmodes as resonant peaks.

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    Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
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    Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

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    Fabrication and Testing of Microfluidic Optomechanical Oscillators
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    Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators
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    Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators

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    Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
    12:21

    Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

    Published on: April 4, 2016

    Main Results:

    • Resonator eigenvalues are determined by analyzing the location and breadth of resonant peaks.
    • Mode eigenfunctions are generated using discrete Fourier transforms of the field once eigenvalues are known.
    • The method allows for the complete characterization of the entire spectrum of transverse resonator modes.

    Conclusions:

    • This new computational approach provides a robust and accurate means for analyzing optical resonators.
    • It facilitates a deeper understanding of modal properties, essential for optical engineering and device development.