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Related Concept Videos

Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

250
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:
250
Parallel Resonance01:23

Parallel Resonance

205
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:
205
Series Resonance01:17

Series Resonance

174
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...
174
Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

286
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...
286
Frequency Response of a Circuit01:20

Frequency Response of a Circuit

259
Inductive circuits present intriguing challenges in electrical engineering, particularly during the transition from the time domain to the frequency domain. This transformation involves converting inductors into impedances and utilizing phasor representation.
The transfer function is pivotal in characterizing how these circuits react to various frequencies, facilitating a profound understanding of their behavior. An essential parameter is the time constant, signifying the...
259
Resonance in an AC Circuit01:26

Resonance in an AC Circuit

2.0K
The property of an inductor makes it resist any change in the current passing through it, while the property of a capacitor is to build up the charge across its terminals. Hence, if an inductor and capacitor are connected in series, they have opposite effects on the relative phase between current and voltage. The current through the circuit undergoes forced oscillation at the frequency of the source. The resistance term in an R-L-C circuit acts as a damping term because power is dissipated...
2.0K

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Characterizing mid-infrared micro-ring resonator with frequency conversion.

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    This study introduces a novel frequency conversion technique to effectively characterize mid-infrared (MIR) integrated devices. This method overcomes limitations in MIR lasers and detectors, paving the way for advanced MIR optics.

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    Area of Science:

    • Photonics and Optical Engineering
    • Materials Science
    • Integrated Optics

    Background:

    • Development of mid-infrared (MIR) integrated devices is hindered by high costs and poor performance of existing lasers and detectors.
    • Characterizing MIR devices is crucial for advancing MIR integrated optics.
    • Existing characterization methods face limitations in the MIR spectrum.

    Purpose of the Study:

    • To demonstrate an effective method for characterizing mid-infrared (MIR) integrated devices.
    • To utilize frequency conversion technology for enhanced MIR device parameter extraction.
    • To overcome the limitations posed by expensive and low-performance MIR lasers and detectors.

    Main Methods:

    • Designed and fabricated silicon-on-sapphire (SOS) rib waveguides and micro-ring resonators (MRRs).
    • Generated a MIR laser using difference frequency generation (DFG) for testing.
    • Detected the transmission spectrum of MIR-MRRs via sum frequency generation (SFG).

    Main Results:

    • Achieved a waveguide transmission loss of 4.5 dB/cm.
    • Measured a quality factor (Q-factor) of the micro-ring resonator reaching 38,000.
    • Experimental results showed good agreement with numerical simulations.

    Conclusions:

    • The developed frequency conversion technique provides a viable method for characterizing MIR integrated devices.
    • This approach can significantly accelerate the progress of MIR integrated optics.
    • The demonstrated technique offers a pathway to overcome current technological barriers in the MIR band.