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Related Concept Videos

Traveling Waves: Lossless Lines01:27

Traveling Waves: Lossless Lines

158
The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx  and a shunt capacitance CΔx.
158
Basic signals of Fourier Transform01:07

Basic signals of Fourier Transform

523
The Fourier Transform is a pivotal mathematical tool in signal processing, enabling the transformation of time-domain signals into their frequency-domain representations. Among the numerous elements within this domain, certain functions like the sinc function, delta function, and exponential signals hold significant importance due to their unique properties and implications.
The sinc function, defined as sinc(x) = sin(πx)/(πx), is particularly notable for its symmetry and behavior at...
523
Upsampling01:22

Upsampling

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Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
262
Lossless Lines01:23

Lossless Lines

146
In electrical engineering, a lossless transmission line is characterized by a purely imaginary propagation constant and a resistive characteristic impedance. The ABCD parameters, which describe the relationship between the input and output voltages and currents, indicate an equivalent π circuit with an imaginary series impedance and a shunt admittance. This results in a transmission line that, when the product of the phase constant (beta) and the length of the line is less than pi,...
146
Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

114
Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
114
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

956
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:
956

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High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy
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A Lossless Sink Based on Complex Frequency Excitations.

Curtis Rasmussen1, Matheus I N Rosa1, Jacob Lewton1

  • 1P. M. Rady Department of Mechanical Engineering, University of Colorado Boulder, Boulder, CO, 80309, USA.

Advanced Science (Weinheim, Baden-Wurttemberg, Germany)
|August 16, 2023
PubMed
Summary
This summary is machine-generated.

Researchers created a wave sink in lossless media using complex frequency signals. This method confines waves to a point, enabling subwavelength imaging and sensing without system modification.

Keywords:
coherent virtual absorptioncomplex frequenciesdiffraction limitwave sinkwave trapping

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Area of Science:

  • Acoustics and Wave Physics
  • Metamaterials and Nanophotonics
  • Advanced Imaging and Sensing Technologies

Background:

  • Wave sinks confine incident waves to a point, offering potential for sub-diffraction imaging and sensing.
  • Conventional methods often require system modification, such as impedance matching with added loss, limiting applications.
  • Existing techniques face challenges in achieving precise control and broad applicability in lossless media.

Purpose of the Study:

  • To demonstrate a novel method for creating wave sinks in lossless media using complex frequency signals.
  • To bypass the need for material modification by shaping the input excitation signal.
  • To explore applications in subwavelength imaging, sensing, and nonlinear wave generation.

Main Methods:

  • Utilized complex frequency signals (harmonic excitations with exponential time growth) to create the wave sink.
  • Extended scattering formalism to the complex frequency plane to identify conditions for complete energy trapping.
  • Experimentally validated the theory using elastic waves on a plate with a circular cutout.

Main Results:

  • Successfully created a wave sink in a lossless medium by controlling the input signal's complex frequency.
  • Eigenvalue analysis in the complex frequency plane predicted and confirmed conditions for steady-state energy trapping.
  • Experimental realization demonstrated the efficacy of complex frequency excitations for wave confinement.

Conclusions:

  • Complex frequency excitations offer a powerful, non-invasive approach to creating wave sinks in lossless media.
  • This method overcomes limitations of traditional techniques by modifying the signal, not the medium.
  • The findings pave the way for advanced imaging and sensing technologies utilizing subwavelength focal points and high-amplitude wave phenomena.