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Standing Waves in a Cavity01:28

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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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Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
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Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single...
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The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...
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In signal processing, bandpass sampling is an effective technique for sampling signals that have most of their energy concentrated within a narrow frequency band. This type of signal is known as a bandpass signal. The key principle of bandpass sampling involves sampling the signal at a rate that is greater than twice the signal's bandwidth to prevent aliasing.
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Related Experiment Video

Updated: Dec 5, 2025

Synthesis and Operation of Fluorescent-core Microcavities for Refractometric Sensing
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Spectral compression using time-varying cavities.

Karthik V Myilswamy, Andrew M Weiner

    Optics Letters
    |October 15, 2020
    PubMed
    Summary

    Spectral compression is achieved using a novel time-varying optical cavity. This method efficiently interfaces broadband photons with narrowband quantum memories for quantum information applications.

    Area of Science:

    • Quantum optics
    • Quantum information science
    • Integrated photonics

    Background:

    • Efficient interfacing of broadband photons with narrowband quantum memories is crucial for quantum information and networking.
    • Existing methods for time-varying cavities often rely on intracavity phase modulation.

    Purpose of the Study:

    • To propose and analyze a new method for spectral compression using a time-varying linear optical cavity.
    • To explore spectral compression via rapid switching of cavity coupling.

    Main Methods:

    • Utilizing a time-varying linear optical cavity with rapidly switched coupling.
    • Analyzing performance metrics such as mirror reflectivity, cavity loss, and switching speed.

    Main Results:

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  • Demonstrated spectral compression through controlled switching of cavity coupling.
  • Performance is analyzed as a function of key cavity parameters.

    • Conclusions:

    • The proposed method offers an alternative approach to spectral compression.
    • Potential for implementation in integrated photonics for quantum technologies.