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Related Concept Videos

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:
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...
Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
Starting with a fixed...
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:
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...

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Related Experiment Video

Updated: Jul 6, 2026

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

Low sideband guided-mode resonant filter.

Z Hegedus1, R Netterfield

  • 1Telecommunications and Industrial Physics, Commonwealth Scientific and Industrial Scientific Organisation, PO Box 218, Lindfield, Australia.

Applied Optics
|March 18, 2008
PubMed
Summary

This study introduces a novel guided-mode resonant filter. The filter achieves ultra-low out-of-band reflectance, significantly below 10(-4), using precise control over waveguide thickness for reliable manufacturing.

Area of Science:

  • Photonics
  • Optical Engineering
  • Materials Science

Background:

  • Guided-mode resonant filters (GMRFs) are crucial optical components.
  • Conventional antireflective designs are insufficient for achieving ultra-low sideband reflections in GMRFs.
  • Precise control over optical layer thicknesses is vital for filter performance.

Purpose of the Study:

  • To propose a novel guided-mode resonant filter design.
  • To demonstrate a method for achieving ultra-low out-of-band reflectance.
  • To ensure the manufacturability of the proposed filter design.

Main Methods:

  • Utilizing a waveguide-grating filter design approach.
  • Implementing independent control of various layer thicknesses.
  • Designing the filter for a specific illumination angle and waveguide thickness.

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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

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Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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Main Results:

  • Achieved out-of-band reflectance well below 10(-4) on both sides of the resonant peak.
  • Maintained out-of-band reflectance below 10(-3) even 50 nm away from the peak.
  • Demonstrated filter performance is robust against variations in key manufacturing parameters.

Conclusions:

  • Independent control of layer thicknesses is necessary for symmetrical low sideband reflectances.
  • The proposed GMRF design offers superior out-of-band rejection compared to conventional methods.
  • The filter design is compatible with current manufacturing technologies, ensuring practical viability.