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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:
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...
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...
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:
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...
Cascaded Op Amps01:16

Cascaded Op Amps

Operational amplifiers (op-amps) are versatile electronic components that can be interconnected in a cascade - one after another in a linear sequence. This cascading is possible due to their infinite input resistance and zero output resistance, allowing them to maintain their input-output relationships even when connected in series.
In a cascaded system, each op-amp is referred to as a stage. The output of one stage drives the input of the subsequent stage. As the input signal passes through...

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

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

Grating coupled compound resonators.

F C Choo, E Brannen

    Applied Optics
    |January 30, 2010
    PubMed
    Summary
    This summary is machine-generated.

    A new model for grating coupled cavities uses a simple boundary condition to analyze gain and phase shift. This model helps understand how grating properties and mirror reflectivities affect resonator performance.

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    Area of Science:

    • Optics and Photonics
    • Resonant Cavity Design
    • Wave Phenomena

    Background:

    • Grating coupled cavities are crucial components in various optical systems.
    • Understanding the behavior of these cavities is essential for optimizing device performance.
    • Existing models may not fully capture the nuances of boundary conditions at the grating surface.

    Purpose of the Study:

    • To develop a simplified model for grating coupled cavities.
    • To investigate the physical implications of a specific boundary condition at the grating coupling surface.
    • To analyze the gain factor and phase shift within the coupled resonator.

    Main Methods:

    • Construction of a simple physical model for a grating coupled cavity.
    • Application of a straightforward boundary condition at the grating coupling surface.
    • Theoretical analysis of the gain factor and phase shift.

    Main Results:

    • A functional model for grating coupled cavities was successfully established.
    • The physical significance of the proposed boundary condition was elucidated.
    • The study provides insights into how grating properties and mirror reflectivities influence gain and phase shift.

    Conclusions:

    • The developed model offers a simplified yet effective approach to studying grating coupled cavities.
    • The boundary condition provides a key parameter for understanding resonator behavior.
    • The findings are valuable for the design and optimization of optical resonators incorporating gratings.