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Related Concept Videos

Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

806
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:
806
Parallel Resonance01:23

Parallel Resonance

743
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:
743

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High-order micro-ring resonator with perfect transmission using symmetrical Fibonacci structures.

C W Tsao, Y H Cheng, W J Hsueh

    Optics Letters
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    A novel symmetrical Fibonacci micro-ring resonator (SFMR) enhances optical filter quality by eliminating the coupled resonator optical waveguide (CROW) bottle, leading to sharper resonances and perfect transmission peaks.

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    Area of Science:

    • Photonics
    • Optical Engineering
    • Materials Science

    Background:

    • Traditional periodic micro-ring resonators suffer from the coupled resonator optical waveguide (CROW) bottle effect, causing undesirable bottle-shaped distributions in high-order transmission spectra.
    • This effect degrades the quality of optical filtering, particularly in the mini and major band regions, limiting device performance.

    Purpose of the Study:

    • To introduce a symmetrical Fibonacci micro-ring resonator (SFMR) as an alternative to traditional designs.
    • To demonstrate the SFMR's ability to overcome the limitations imposed by the CROW bottle.
    • To enhance the filtering quality of micro-ring resonators.

    Main Methods:

    • Theoretical presentation and analysis of the symmetrical Fibonacci micro-ring resonator (SFMR) design.
    • Comparison of SFMR transmission spectra with those of traditional periodic micro-ring resonators.
    • Investigation of resonance sharpness, transmission peak quality, and band-edge peak width variations.

    Main Results:

    • The SFMR design successfully eliminates the CROW bottle, resulting in significantly sharper resonances.
    • Perfect transmission peaks are consistently achieved in both mini-band and major-band regions without radius or coupling modulation.
    • The full width at half-maximum of the band-edge peak demonstrates a decreasing trend with increasing generation order.

    Conclusions:

    • The SFMR offers superior filtering quality compared to traditional periodic micro-ring resonators.
    • The elimination of the CROW bottle and achievement of perfect transmission highlight the SFMR's potential for advanced optical filtering applications.
    • The observed relationship between band-edge peak width and generation order provides a tunable characteristic for device design.