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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:
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:
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...
Sound Waves: Resonance01:14

Sound Waves: Resonance

Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
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...
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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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
12:18

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Published on: August 5, 2013

Coupled resonator filter with single-layer acoustic coupler.

Tiberiu Jamneala1, Martha Small, Rich Ruby

  • 1Avago Technologies Inc, San Jose, CA, USA. Tiberiu.Jamneala@avagotech.com

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|November 7, 2008
PubMed
Summary
This summary is machine-generated.

Novel coupled-resonator filters utilize acoustic couplers for improved performance. Adding a small capacitance enhances near-band rejection, enabling fabrication of 2.45 GHz filters.

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Area of Science:

  • Acoustic filter design
  • Resonator physics
  • Microwave engineering

Background:

  • Coupled-resonator filters offer simplified fabrication.
  • High acoustic attenuation in coupler materials presents a challenge.
  • Accurate modeling requires complex acoustic impedance and phase at high attenuation.

Purpose of the Study:

  • To analyze the operation of novel coupled-resonator filters with single-layer acoustic couplers.
  • To investigate methods for improving the near-band rejection of these filters.
  • To demonstrate the fabrication of 2.45 GHz filters based on theoretical findings.

Main Methods:

  • Employed the physical Mason model for acoustic resonator analysis.
  • Treated phase and acoustic impedance as complex quantities to predict filter insertion loss.
  • Connected a small capacitance between filter input and output to create tunable transmission minima.

Main Results:

  • Demonstrated that a small capacitance improves near-band rejection.
  • Successfully fabricated coupled resonator filters operating at 2.45 GHz.
  • Validated the necessity of complex acoustic impedance and phase for accurate high-attenuation predictions.

Conclusions:

  • The developed method effectively enhances the performance of coupled-resonator filters.
  • The findings enable the practical fabrication of microwave filters with improved characteristics.
  • Complex acoustic parameter treatment is crucial for precise filter modeling.