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Related Concept Videos

Applications of Logarithms01:28

Applications of Logarithms

Logarithmic functions are powerful tools for simplifying the mathematical representation of phenomena involving exponential changes. Their ability to convert multiplicative relationships into additive ones is especially valuable in various scientific and engineering contexts. One notable application of logarithms is measuring sound intensity, specifically through the decibel (dB) scale used in acoustics.Sound intensity levels vary over an extensive range, from the faintest audible whisper to...
Properties of Fourier Transform I01:21

Properties of Fourier Transform I

The application of Fourier Transform properties in radio broadcasting is multifaceted, enabling significant advancements in the way signals are transmitted and received. Key areas where these properties are utilized include simultaneous multi-channel transmission, audio clip speed adjustments, live broadcast delays for different time zones, audio frequency adjustments, and signal demodulation.
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Basic Operations on Signals01:22

Basic Operations on Signals

Basic signal operations include time reversal, time scaling, time shifting, and amplitude transformations. These operations are fundamental in signal processing and analysis.
Time Reversal mirrors a continuous-time signal about the vertical axis at t=0. This is achieved by substituting t with −t. For example, if a signal x(t) is considered, the time-reversed signal is x(−t). This operation can be graphically represented, showing the mirrored signal.
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.
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Op Amp AC Circuits01:18

Op Amp AC Circuits

Within an audio system, the filter circuit plays a pivotal role in processing the amplified audio signal from an amplifier. Its primary function is significantly attenuating signal components with lower frequencies, thereby shaping the audio output. This circuit's operations are examined, focusing on the fundamental filter configuration. This configuration involves an operational amplifier arranged in an inverting setup coupled with resistors (R1 and R2) and a capacitor (C1).
Properties of Fourier Transform II01:24

Properties of Fourier Transform II

The Fourier Transform (FT) is an essential mathematical tool in signal processing, transforming a time-domain signal into its frequency-domain representation. This transformation elucidates the relationship between time and frequency domains through several properties, each revealing unique aspects of signal behavior.
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...

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Evanescent Field Based Photoacoustics: Optical Property Evaluation at Surfaces
10:21

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Published on: July 26, 2016

Analogue transformations in physics and their application to acoustics.

C García-Meca1, S Carloni, C Barceló

  • 1Nanophotonics Technology Center, Universitat Politècnica de València, 46022 Valencia, Spain.

Scientific Reports
|June 19, 2013
PubMed
Summary

Scientists developed a new analogue spacetime method to control waves across physics fields, enabling novel acoustic devices like spacetime cloaks. This approach overcomes limitations of traditional transformation techniques for broader applications.

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Area of Science:

  • Electromagnetics and wave physics
  • Acoustics
  • Condensed matter physics

Background:

  • Transformation optics enables devices like invisibility cloaks.
  • Standard transformation techniques face constraints in applying to other physics fields due to field equation structures.

Purpose of the Study:

  • To develop a general transformation method applicable beyond electromagnetics.
  • To establish a new paradigm for controlling waves in diverse physical systems.
  • To create an "analogue transformation acoustics" formalism.

Main Methods:

  • Utilizing the concept of analogue spacetimes.
  • Developing a complete transformation method.
  • Deriving an analogue transformation acoustics formalism.

Main Results:

  • A general transformation method is established, extending wave control possibilities.
  • The analogue transformation acoustics formalism allows space-time mixing and moving fluid transformations.
  • Explicit designs for a dynamic compressor, acoustic spacetime cloak, and moving aircraft carpet cloak are presented.

Conclusions:

  • The analogue spacetime method offers a powerful new paradigm for wave control in various physics branches.
  • This approach overcomes previous limitations, enabling previously impossible wave manipulation techniques.
  • The developed formalism has potential applications in acoustics, quantum fluids, and graphene electronics.