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Related Concept Videos

Parallel Resonance01:23

Parallel Resonance

433
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:
433
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

1.3K
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:
1.3K
Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

478
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:
478

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Related Experiment Video

Updated: Dec 18, 2025

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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Resonant waveguide grating reflection filter with a quasi-rectangular spectrum under fully conical incidence.

Lina Fan, Kehui Jia, Junshan Ma

    Applied Optics
    |June 17, 2020
    PubMed
    Summary
    This summary is machine-generated.

    We designed an optical filter with a quasi-rectangular spectrum by adjusting the incident angle. This filter exhibits stable performance over a range of angles, offering potential for advanced optical device applications.

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    Area of Science:

    • Optics and Photonics
    • Optical Filter Design
    • Spectroscopy

    Background:

    • Traditional optical filters often struggle to achieve sharp spectral cutoffs.
    • Achieving specific spectral shapes like quasi-rectangular profiles is challenging.
    • Conical incidence offers unique possibilities for manipulating light-matter interactions.

    Purpose of the Study:

    • To design and characterize an optical filter with a quasi-rectangular spectrum.
    • To investigate the effect of incident angle on spectral features under conical incidence.
    • To demonstrate a method for achieving stable quasi-rectangular spectral filtering.

    Main Methods:

    • Design and simulation of an optical filter structure.
    • Analysis of spectral response under varying incident angles (fully conical incidence).
    • Experimental characterization of the filter's spectral properties, including bandwidth and rejection ratio.

    Main Results:

    • A quasi-rectangular spectrum was achieved at a central wavelength of 475 nm with a 75° incident angle.
    • The filter demonstrated a bandwidth of 7.3 nm (reflectance R>90%) and a relative bandwidth (Δλ/λ) of approximately 1.5%.
    • The quasi-rectangular spectral feature remained stable for incident angles between 75° and 85°, with a rejection ratio >10 dB.

    Conclusions:

    • The study successfully demonstrates a method to obtain quasi-rectangular spectral filtering using conical incidence.
    • The merger of double resonance peaks under conical incidence is identified as the mechanism for the quasi-rectangular spectrum.
    • The proposed approach provides a viable route for developing novel optical filter devices with tailored spectral characteristics.