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Related Concept Videos

Active Filters01:25

Active Filters

1.4K
Active filters are electronic circuits that use operational amplifiers (op-amps), resistors, and capacitors to filter out unwanted frequency components from a signal. A first-order low-pass active filter is designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate frequencies higher than that cutoff frequency. The transfer function for a first-order low-pass active filter is:
1.4K
Passive Filters01:27

Passive Filters

1.1K
Passive filters are utilized to shape the frequency spectrum of signals across a diverse array of applications. These filters, using only passive elements like resistors (R), inductors (L), and capacitors (C), are capable of selectively allowing or blocking certain frequency ranges without the need for external power sources.
Low-Pass Filters
Low-pass filters are designed to transmit signals with frequencies lower than the cutoff frequency, ωc, and attenuate those above it. The cutoff...
1.1K
Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

718
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:
718
Series Resonance01:17

Series Resonance

930
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...
930
Parallel Resonance01:23

Parallel Resonance

654
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:
654
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

1.5K
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:
1.5K

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Related Experiment Video

Updated: Feb 25, 2026

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
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Tunable graded cavity resonator integrated grating filters.

S Augé, A Monmayrant, S Pelloquin

    Optics Express
    |August 9, 2017
    PubMed
    Summary

    We developed tunable spectral reflectors called Graded Cavity Resonator Integrated Grating Filters (G-CRIGFs). These filters can be tuned over 40 nm around 850 nm, offering a new method for spectral control.

    Area of Science:

    • Photonics and Optical Engineering
    • Materials Science

    Background:

    • Cavity Resonator Integrated Grating Filters (CRIGFs) are essential for optical signal processing.
    • Achieving tunable spectral selectivity in narrowband reflectors remains a challenge.

    Purpose of the Study:

    • To introduce and demonstrate Graded Cavity Resonator Integrated Grating Filters (G-CRIGFs).
    • To achieve spectrally tunable narrowband reflection around 850 nm.
    • To develop a model for predicting G-CRIGF spectral performance.

    Main Methods:

    • Fabrication of G-CRIGFs utilizing a spatial gradient.
    • Experimental characterization of the spectral reflectance of G-CRIGFs.
    • Development and validation of an analytical model based on standard CRIGF properties.

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    Main Results:

    • Demonstrated G-CRIGFs as narrowband spectral reflectors.
    • Achieved spectral tunability exceeding 40 nm around 850 nm.
    • Validated the analytical model against experimental data for G-CRIGF spectral performance.

    Conclusions:

    • G-CRIGFs offer a novel approach for spectrally tunable optical filtering.
    • The developed analytical model accurately predicts G-CRIGF spectral behavior.
    • This technology has potential applications in optical communication and sensing systems.