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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:
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

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:
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:
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:
Design Example01:23

Design Example

The innovation of touch-tone telephony revolutionized the telecommunications industry by replacing the traditional rotary dial with a dual-tone multi-frequency (DTMF) signaling system. This system uses a matrix-style keypad with buttons arranged in four rows and three columns, creating 12 distinct signals each assigned to a pair of frequencies. Each button press results in a simultaneous generation of two sinusoidal tones – one from a low-frequency group (697 to 941 Hz) and one from a...

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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
12:18

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Published on: August 5, 2013

Waveguide self-coupling based reconfigurable resonance structure for optical filtering and delay.

Linjie Zhou1, Tong Ye, Jianping Chen

  • 1State Key Laboratory of Advanced Optical Communication Systems and Networks, Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China. ljzhou@sjtu.edu.cn

Optics Express
|June 7, 2011
PubMed
Summary
This summary is machine-generated.

We developed a compact waveguide resonator for tunable filters and delay lines. This novel structure offers simpler, power-efficient reconfiguration with enhanced stability, outperforming traditional microring resonators.

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Area of Science:

  • Photonics and Optical Engineering
  • Integrated Optics
  • Waveguide Devices

Background:

  • Conventional microring resonators face limitations in compactness and fabrication tolerance.
  • Achieving high-order resonance and tunable responses often requires complex designs.

Purpose of the Study:

  • To introduce a novel waveguide self-coupling resonator.
  • To demonstrate its capability as a flat-top tunable filter and tunable delay line with low group delay dispersion.

Main Methods:

  • Theoretical analysis using the transfer-matrix method.
  • Investigating mutual mode coupling between clockwise and counter-clockwise resonance eigenmodes.
  • Deriving relations for phase shifters to achieve desired optical responses.

Main Results:

  • The proposed structure exhibits high-order resonance features due to coupled eigenmodes.
  • It functions as a second-order tunable filter and a tunable delay line with low group delay dispersion.
  • The device is inherently more compact and resilient to fabrication errors.

Conclusions:

  • The novel waveguide self-coupling resonator offers a simpler and more power-efficient approach to device reconfiguration.
  • It presents a promising alternative to conventional microring resonators for integrated photonic applications.