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Related Concept Videos

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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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...
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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
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Characteristics of Series Resonant Circuit01:24

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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:
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Parallel Resonance01:23

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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:
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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
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Coupling between waveguides and microresonators: the local approach.

Dashiell L P Vitullo, Sajid Zaki, D E Jones

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    Researchers developed a new method to understand the complex coupling between optical microresonators and waveguides. This technique simplifies the analysis of light interaction in photonic devices, improving their design and performance.

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    Area of Science:

    • Photonics and Optical Engineering
    • Materials Science

    Background:

    • Coupling between optical microresonators and waveguides is crucial for resonant photonic devices.
    • The complex behavior of this coupling is not fully understood.
    • Simplified descriptions are needed for device analysis.

    Purpose of the Study:

    • To develop a robust methodology for experimentally determining local coupling parameters.
    • To simplify the description of coupling behavior in optical microresonators and waveguides.
    • To characterize coupling in a microfiber waveguide coupled to a bottle microresonator.

    Main Methods:

    • Numerical-fitting-based methodology for parameter determination.
    • Experimental characterization of coupling regimes.
    • Utilizing a microfiber waveguide and an elongated bottle microresonator.

    Main Results:

    • A robust method for determining local coupling parameters was developed.
    • The method is applicable across all coupling regimes.
    • Local coupling parameters were successfully characterized for the microfiber-bottle microresonator system.

    Conclusions:

    • The developed methodology provides a simplified and accurate description of coupling behavior.
    • This work advances the understanding and design of resonant photonic devices.
    • The local coupling parameters are independent of resonator mode distributions when variation length exceeds waveguide width.