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Related Concept Videos

Active Filters01:25

Active Filters

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:
Passive Filters01:27

Passive Filters

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 frequency...
Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

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:
Parallel Resonance01:23

Parallel Resonance

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:
Series Resonance01:17

Series Resonance

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...
Resonance in an AC Circuit01:26

Resonance in an AC Circuit

The property of an inductor makes it resist any change in the current passing through it, while the property of a capacitor is to build up the charge across its terminals. Hence, if an inductor and capacitor are connected in series, they have opposite effects on the relative phase between current and voltage. The current through the circuit undergoes forced oscillation at the frequency of the source. The resistance term in an R-L-C circuit acts as a damping term because power is dissipated...

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Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
15:25

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Published on: February 4, 2018

Guided-mode resonance filter with high-index substrate.

Wenxing Liu1, Hong Chen, Zhenquan Lai

  • 1Pohl Institute of Solid State Physics, Tongji University, Shanghai 200092, China.

Optics Letters
|November 21, 2012
PubMed
Summary
This summary is machine-generated.

A novel guided-mode resonance (GMR) filter design enhances performance using an added layer on a high-index substrate. This advancement improves fabrication tolerances, paving the way for practical GMR filter applications.

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Area of Science:

  • Photonics and Optical Engineering
  • Materials Science

Background:

  • Guided-mode resonance (GMR) filters offer unique optical properties.
  • Achieving narrow GMR filters typically requires precise control over fabrication parameters.

Purpose of the Study:

  • To develop a narrow GMR filter with improved performance and fabrication tolerance.
  • To investigate the impact of an added layer on GMR filter characteristics.

Main Methods:

  • Theoretical design and simulation of a GMR filter structure.
  • Incorporation of an additional layer onto a high-index substrate.
  • Analysis of critical parameters like refractive index and thickness of the added layer.

Main Results:

  • Demonstrated achievement of a narrow GMR filter by adding a layer to a high-index substrate.
  • Identified refractive index and thickness of the added layer as critical for the GMR effect.
  • Showcased good fabrication tolerances for grating thickness and fill factor.

Conclusions:

  • The proposed GMR filter design enhances performance and robustness.
  • The added layer approach offers a practical pathway for GMR filter development.
  • This work facilitates the broader application of GMR filters in various fields.