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Related Concept Videos

Source Transformation01:15

Source Transformation

Source transformation is a fundamental technique employed in circuit analysis, offering a valuable tool for simplifying complex electrical circuits. This technique involves the replacement of either a voltage source in series with a resistor by a current source in parallel with a resistor, or vice versa. The key concept here is that when the original sources are deactivated (turned off), the equivalent resistance at the circuit's end terminals remains the same.
It is essential to note that when...
Source Transformation for AC Circuits01:11

Source Transformation for AC Circuits

The process of source transformation in the frequency domain entails the conversion of a voltage source, positioned in series with an impedance, into a current source that is parallel to an impedance, or the other way around. It is essential to maintain the following relationships while transitioning from one source type to another.
Transformations of Functions III01:20

Transformations of Functions III

Transformations modify the graphical representation of a function without changing its fundamental form. One common transformation is reflection, which flips the graph across a designated axis. When the vertical coordinates of all points are multiplied by the negative one, the entire graph is mirrored over the horizontal axis. This transformation reverses the vertical orientation of peaks and troughs, akin to signal inversion in electrical systems, where a waveform is flipped, but the timing of...
Transformations of Functions II01:29

Transformations of Functions II

Transformations in mathematics alter the position or orientation of a function’s graph while preserving its fundamental shape. One important type of transformation is the horizontal shift, which involves modifying the input variable within a function’s equation. This operation affects where outputs occur along the horizontal axis but does not alter the function’s overall structure.A horizontal shift is achieved by replacing the input variable x with either x + c or x - c, where c is a constant.
Transformations of Functions I01:29

Transformations of Functions I

A function's graph can be modified by changing its position or size without altering its overall shape. These transformations allow the graph to be moved across the coordinate plane while preserving its pattern and structure. One of the most common transformations is shifting, which repositions the graph without distorting it.When the output of a function is adjusted by adding or subtracting a constant, the graph shifts vertically. A positive value moves the graph upward, while a negative value...
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.

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Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
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Optical source transformations.

N Kundtz1, D A Roberts, J Allen

  • 1Center for Metamaterials and Integrated Plasmonics, Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, USA.

Optics Express
|December 24, 2008
PubMed
Summary
This summary is machine-generated.

Transformation optics, a method for controlling wave propagation, is expanded to include sources. This technique, demonstrated with simulations, restores dipole radiation patterns for complex antenna designs.

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Area of Science:

  • Physics
  • Electromagnetics
  • Wave Propagation

Background:

  • Transformation optics designs complex media to control wave propagation.
  • Current methods primarily use passive space transformations.
  • The technique's potential with active sources remains underexplored.

Purpose of the Study:

  • To explore and demonstrate the application of transformation optics to include source distributions.
  • To illustrate the potential of source transformations for advanced wave control.
  • To propose source transformations as a novel antenna design methodology.

Main Methods:

  • Applying coordinate transformations to regions including source distributions.
  • Utilizing finite-element full-wave simulations for analysis.
  • Investigating the restoration of dipole radiation patterns.

Main Results:

  • Demonstrated successful restoration of dipole radiation patterns from distorted antennas.
  • Confirmed effectiveness with a 'pin-wheel' antenna and a bent dipole.
  • Validated the concept of source transformations through simulations.

Conclusions:

  • Source transformations offer a powerful new approach in transformation optics.
  • This method shows significant promise for designing conformal antennas.
  • Expanded transformation optics can effectively manage wave propagation from complex sources.