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Related Concept Videos

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:
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...
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:
Resonance in an AC Circuit01:26

Resonance in an AC Circuit

The property of an inductor makes it resist any change in the current passing through it, while the property of a capacitor is to build up the charge across its terminals. Hence, if an inductor and capacitor are connected in series, they have opposite effects on the relative phase between current and voltage. The current through the circuit undergoes forced oscillation at the frequency of the source. The resistance term in an R-L-C circuit acts as a damping term because power is dissipated...
Series Resonance01:17

Series Resonance

The RLC circuit impedance is defined as the ratio of the supply voltage to the circuit current. Resonance in such a circuit occurs when the imaginary part of this impedance equals zero. This specific condition means that the inductive reactance is exactly equal to the capacitive reactance. The frequency at which this happens is known as the resonant frequency. Mathematically, the resonant frequency is inversely proportional to the square root of the product of the inductance (L) and capacitance...

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Updated: Jun 16, 2026

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

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Published on: November 30, 2012

Nonresonant cavity as a long path absorption cell.

H A Gebbie, R A Bohlander

    Applied Optics
    |February 2, 2010
    PubMed
    Summary

    Researchers developed spherical nonresonant cavities for far infrared spectroscopy. These absorption cells provide long pathlengths and high energy throughput, improving water vapor analysis.

    Area of Science:

    • Spectroscopy
    • Optical Physics
    • Physical Chemistry

    Background:

    • Far infrared (FIR) spectroscopy is crucial for analyzing molecular vibrations.
    • Traditional absorption cells can limit pathlength and energy throughput.
    • Development of advanced optical cavities is needed to enhance FIR spectroscopic capabilities.

    Purpose of the Study:

    • To construct and characterize novel spherical specularly reflecting nonresonant cavities.
    • To evaluate the performance of these cavities as absorption cells in FIR spectroscopy.
    • To demonstrate their application in analyzing the composition of water vapor.

    Main Methods:

    • Fabrication of spherical nonresonant cavities with specularly reflecting surfaces.
    • Development of a theoretical model to describe cavity performance.

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  • Experimental validation of the theoretical model.
  • Application of the cavities in a research program for water vapor analysis.

    • Main Results:

    • Successful construction of spherical nonresonant cavities.
    • Theoretical predictions of cavity performance were in agreement with experimental results.
    • Demonstrated the utility of the cavities for long pathlength absorption measurements.
    • Achieved high energy throughput, enhancing spectral acquisition.

    Conclusions:

    • Spherical specularly reflecting nonresonant cavities are effective absorption cells for FIR spectroscopy.
    • These cavities offer significant advantages in terms of pathlength and energy throughput.
    • The developed cavities represent a valuable tool for precise analysis of gas compositions, such as water vapor.