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Related Concept Videos

Sound Waves: Resonance01:14

Sound Waves: Resonance

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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...
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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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Modes of Standing Waves: II01:04

Modes of Standing Waves: II

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The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end....
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Concept of Resonance and its Characteristics01:19

Concept of Resonance and its Characteristics

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If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not...
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Standing Waves in a Cavity01:28

Standing Waves in a Cavity

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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:
869
Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

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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...
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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
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Resonant mode calculation method for extremely large-scale optical ring resonators.

Yong-Hoon Lee, Inbo Kim, Sunghwan Rim

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    This study introduces a new finite-difference time-domain (FDTD) method for analyzing large optical systems. The approach efficiently calculates optical modes in devices like gyro-sensors, overcoming computational limitations.

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    Area of Science:

    • Computational electromagnetics
    • Optical device simulation
    • Photonics and wave optics

    Background:

    • Analyzing optical devices like gyro-sensors and lasers requires solving Maxwell's equations.
    • Traditional methods (FEM, FDTD) are computationally intensive for large-scale optical systems.
    • Simulating large systems is often infeasible due to high computational resource and time demands.

    Purpose of the Study:

    • To develop a novel, computationally efficient method for analyzing optical modes in large-scale optical systems.
    • To overcome the limitations of existing numerical methods for large optical device simulations.
    • To enable accurate calculation of resonant modes in complex optical structures.

    Main Methods:

    • A novel finite-difference time-domain (FDTD) based approach is proposed.
    • The method involves defining a calculation area encompassing the primary light field.
    • This area is divided into subdomains for sequential computation along the light propagation direction, utilizing transformation optics for mapping non-rectangular to rectangular subdomains.

    Main Results:

    • The proposed FDTD method successfully calculates optical modes in large-scale systems.
    • Validation was performed on 3-mirror ring resonators used in ring laser gyro-sensors.
    • Transformation optics facilitated the handling of non-rectangular subdomains with spatially varying refractive indices.

    Conclusions:

    • The novel FDTD method provides an efficient solution for simulating optical modes in large-scale optical systems.
    • This technique is particularly beneficial for devices where electromagnetic fields propagate along simple closed paths.
    • The method is expected to contribute to the performance enhancement of large-scale optical devices.