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Related Concept Videos

Passive Filters01:27

Passive Filters

Passive filters are utilized to shape the frequency spectrum of signals across a diverse array of applications. These filters, using only passive elements like resistors (R), inductors (L), and capacitors (C), are capable of selectively allowing or blocking certain frequency ranges without the need for external power sources.
Low-Pass Filters
Low-pass filters are designed to transmit signals with frequencies lower than the cutoff frequency, ωc, and attenuate those above it. The cutoff frequency...
Aliasing01:18

Aliasing

Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original signal...
Downsampling01:20

Downsampling

When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
Reducing Line Loss01:18

Reducing Line Loss

In a three-phase circuit, line loss is an indicator of energy dissipated as heat due to the resistance of transmission lines. To address this, incorporating transformers into the system—a step-up transformer at the source and a step-down transformer at the load—is a strategic solution. Two three-phase transformers are introduced to improve this.
With a step-up transformer at the source, the voltage is increased, thereby reducing the current in the transmission lines since power loss in...
Filtration00:53

Filtration

Filtration is a physical separation process that involves passing a suspension through a porous medium to separate solids from fluids. During filtration, solids collect on the porous medium while liquids, also collectively known as the filtrate, pass through. The filtration medium is selected based on the filtration purpose, quantity, and nature of the precipitate. The general criteria for a suitable filtering medium are that it is inert, mechanically strong, nonabsorbent toward dissolved...

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Related Experiment Video

Updated: Jun 12, 2026

X-ray Beam Induced Current Measurements for Multi-Modal X-ray Microscopy of Solar Cells
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X-ray Beam Induced Current Measurements for Multi-Modal X-ray Microscopy of Solar Cells

Published on: August 20, 2019

Rugate filter sidelobe suppression using quintic and rugated quintic matching layers.

W H Southwell, R L Hall

    Applied Optics
    |June 18, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Sine wave rugate index profiles can reduce unwanted sidelobes across wide spectral regions while maintaining strong stopband reflectance. This method enhances optical filter performance for various applications.

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    Last Updated: Jun 12, 2026

    X-ray Beam Induced Current Measurements for Multi-Modal X-ray Microscopy of Solar Cells
    10:16

    X-ray Beam Induced Current Measurements for Multi-Modal X-ray Microscopy of Solar Cells

    Published on: August 20, 2019

    Area of Science:

    • Optics and Photonics
    • Materials Science

    Background:

    • Rugate filters are optical interference devices.
    • Traditional rugate filters can suffer from sidelobe oscillations.
    • Broadband spectral control is crucial for many optical systems.

    Purpose of the Study:

    • To investigate the use of sine wave rugate index profiles.
    • To reduce sidelobes in optical filters.
    • To maintain stopband reflectance strength over broad spectral regions.

    Main Methods:

    • Superimposing sine wave index profiles on a slowly varying average index.
    • Analyzing the resulting spectral characteristics.

    Main Results:

    • Successfully reduced sidelobes over broad spectral regions.
    • Maintained strong stopband reflectance.
    • Demonstrated a method for improved optical filter design.

    Conclusions:

    • Sine wave rugate index profiles offer an effective way to optimize optical filter performance.
    • This technique provides a balance between sidelobe suppression and reflectance strength.
    • Potential applications in telecommunications, sensing, and laser systems.