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The innovation of touch-tone telephony revolutionized the telecommunications industry by replacing the traditional rotary dial with a dual-tone multi-frequency (DTMF) signaling system. This system uses a matrix-style keypad with buttons arranged in four rows and three columns, creating 12 distinct signals each assigned to a pair of frequencies. Each button press results in a simultaneous generation of two sinusoidal tones – one from a low-frequency group (697 to 941 Hz) and one from a...
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Design of Acoustic Bifocal Lenses Using a Fourier-Based Algorithm.

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Researchers developed a new design method for bifocal zone plates (ZPs) using fast Fourier transform (FFT) and inverse FFT (IFFT). This technique offers precise control over focal locations for advanced applications.

Keywords:
Fourier transformacoustic focusingbinary sequencesignal processingzone plate

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Area of Science:

  • Physics
  • Engineering
  • Acoustics

Background:

  • Zone plates (ZPs) are diffractive optical elements used for focusing.
  • Designing ZPs with specific multiple focal points (bifocal) presents challenges in controlling focal location and resolution.

Purpose of the Study:

  • To introduce a novel design method for bifocal zone plates (ZPs).
  • To achieve precise control over the locations and resolutions of multiple foci.
  • To demonstrate the method's applicability in underwater ultrasonics and other fields.

Main Methods:

  • Utilizing the fast Fourier transform (FFT) of a binary sequence to identify focal points.
  • Employing reverse engineering with a target focusing profile.
  • Applying the inverse fast Fourier transform (IFFT) to generate the binary sequence for the ZP.

Main Results:

  • The FFT of the binary sequence directly indicates the main foci locations.
  • The IFFT-based design method allows for flexible and powerful tailoring of bifocal ZPs.
  • Absolute control over the foci locations was achieved, a key advantage over existing methods.

Conclusions:

  • The developed FFT/IFFT-based design method provides a flexible and powerful tool for creating bifocal ZPs.
  • This method offers unprecedented control over focal point placement and resolution.
  • The technique is applicable to underwater ultrasonics and can be extended to optics and microwaves.