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Related Concept Videos

Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

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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...
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RLC Circuit as a Damped Oscillator01:30

RLC Circuit as a Damped Oscillator

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An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
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Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

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An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
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Generating Electromagnetic Radiations01:10

Generating Electromagnetic Radiations

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The German physicist Heinrich Hertz (1857–1894) was the first to generate and detect certain types of electromagnetic waves in the laboratory. Starting in 1887, he performed a series of experiments that confirmed the existence of electromagnetic waves and verified that they travel at the speed of light. Hertz used an alternating-current RLC (resistor-inductor-capacitor) circuit that resonated at a known frequency and connected it to a loop of wire. High voltages induced across the gap in...
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Damped Oscillations01:07

Damped Oscillations

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In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
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Applications of RC Circuits01:22

Applications of RC Circuits

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A relaxation oscillator is one of the applications of RC circuits. A neon lamp relaxation oscillator comprises a capacitor, a resistor, a voltage source, and a lamp. The lamp acts like an open circuit, with infinite resistance until the potential difference across the lamp reaches a specific voltage. At that voltage, the lamp acts like a short circuit with zero resistance, and the capacitor discharges through the lamp, thus producing light. Once the capacitor is fully discharged through the...
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Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
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Quantum random number generator using a microresonator-based Kerr oscillator.

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    We developed an all-optical quantum random number generator using silicon nitride microresonators. This device achieves a 2 MHz generation rate, paving the way for high-speed, chip-scale random number generation.

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    Area of Science:

    • Quantum optics
    • Integrated photonics
    • Nonlinear optics

    Background:

    • Quantum random number generators (QRNGs) are crucial for secure communication and cryptography.
    • Existing QRNGs face challenges in terms of speed, size, and post-processing requirements.
    • Optical parametric oscillators offer a promising platform for high-quality random number generation.

    Purpose of the Study:

    • To demonstrate an all-optical quantum random number generator (QRNG) utilizing a silicon nitride microresonator.
    • To achieve high-speed random number generation without the need for post-processing.
    • To explore the potential for chip-scale integration of QRNG devices.

    Main Methods:

    • Utilized a dual-pumped degenerate optical parametric oscillator in a silicon nitride microresonator.
    • Employed parametric four-wave mixing in the normal group-velocity dispersion regime with two nondegenerate pumps.
    • Verified the randomness of the generated numbers using the National Institute of Standards and Technology (NIST) Statistical Test Suite.

    Main Results:

    • Successfully generated random numbers at a rate of 2 MHz.
    • Demonstrated the frequency-degenerate bi-phase state output.
    • Confirmed the high quality and randomness of the generated numbers through rigorous statistical testing.

    Conclusions:

    • The developed all-optical QRNG scheme is efficient and reliable.
    • The use of silicon nitride microresonators enables compact and scalable designs.
    • This technology holds significant potential for future gigahertz-rate, chip-scale QRNGs with minimal post-processing.