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Related Concept Videos

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...
Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
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:
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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Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
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Nonpolarizing guided-mode resonance filter.

Xiaoyong Fu1, Kui Yi, Jianda Shao

  • 1Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai, China. masfxy@163.com

Optics Letters
|January 17, 2009
PubMed
Summary
This summary is machine-generated.

This study presents a novel guided-mode resonance filter achieving over 99.9% reflection at 500 nm. The design ensures identical resonance wavelengths for TE and TM polarizations, enhancing optical filter performance.

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Area of Science:

  • Photonics and Optical Engineering
  • Materials Science

Background:

  • Guided-mode resonance (GMR) filters offer wavelength-selective optical filtering.
  • Achieving polarization-independent performance in GMR filters is a significant challenge.

Purpose of the Study:

  • To design a normal-incidence, nonpolarizing GMR filter.
  • To achieve high reflection and narrow spectral bandwidth for both TE and TM polarizations.

Main Methods:

  • A three-layer structure comprising two waveguide layers and one grating layer was designed.
  • The distance between waveguide layers was optimized for polarization independence.
  • An antireflection method was incorporated to minimize sideband reflections.

Main Results:

  • The designed filter exhibits high reflection (>99.9%) at 500 nm.
  • Achieved Full Width at Half Maximum (FWHM) values of 2.16 nm for TE and 0.15 nm for TM polarization.
  • Demonstrated identical resonance wavelengths for both polarizations through structural adjustment.

Conclusions:

  • The proposed GMR filter design successfully achieves nonpolarizing, high-reflection spectral filtering.
  • The design offers a promising solution for applications requiring precise wavelength selection for different polarizations.