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Related Concept Videos

Parallel Resonance01:23

Parallel Resonance

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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:
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The 1D NMR spectrum of large and complex molecules like natural products has complicated splitting patterns and overlapping signals, which can be easily interpreted using 2-dimensional (2D) NMR. Unlike 1D NMR, 2D NMR has two frequency axes that provide the coupling information between the nucleus A and nucleus B in a molecule. The process from which 2D spectra are obtained has four steps.
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Double Resonance Techniques: Overview01:12

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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.
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Characteristics of Series Resonant Circuit01:24

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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:
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Standing Waves in a Cavity01:28

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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:
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    Area of Science:

    • Photonics and Nanotechnology
    • Optical Filters
    • Materials Science

    Background:

    • Guided-mode resonance (GMR) filters offer wavelength-selective optical filtering.
    • Tunable filters are crucial for applications requiring dynamic spectral control.
    • Low-cost fabrication methods are needed for widespread GMR filter adoption.

    Purpose of the Study:

    • To experimentally demonstrate a tunable 2D grating GMR filter.
    • To investigate the effect of grating crossing angles on filter performance.
    • To achieve tunable filtering using a cost-effective nanoimprinting technique.

    Main Methods:

    • Utilized a two-step nanoimprinting process with a 1D grating polydimethylsiloxane mold.
    • Fabricated 2D grating structures by rotating the mold at 30°, 60°, and 90° for second nanoimprinting.
    • Coated a high-refractive-index ZnO film to create GMR filter devices.

    Main Results:

    • Demonstrated tunable passband central wavelength by altering the azimuth angle of incident light.
    • Compared filters with different crossing angles, identifying the 60° device as optimal.
    • Achieved a tunable wavelength range of 668-742 nm for the 60° filter with azimuth angle variation from 30° to 90°.

    Conclusions:

    • The developed two-step nanoimprinting technique is effective for fabricating tunable 2D GMR filters.
    • Grating crossing angle significantly impacts filter performance, with 60° yielding the best results.
    • The demonstrated GMR filter offers a wide tunable range, suitable for various optical applications.