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Fabrication of Periodic Gold Nanocup Arrays Using Colloidal Lithography
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General polynomial factorization-based design of sparse periodic linear arrays.

Sanjit K Mitra1, Kalyan Mondal, Mikhail K Tchobanou

  • 1Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA.

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|September 30, 2010
PubMed
Summary
This summary is machine-generated.

Researchers designed sparse periodic arrays using polynomial factorization, enabling reduced element counts while controlling beam properties. This method optimizes the transmit/receive aperture for desired radiation patterns.

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Area of Science:

  • Electromagnetics and antenna array design.
  • Signal processing and polynomial methods.

Background:

  • Designing periodic antenna arrays often involves complex aperture synthesis.
  • Achieving desired radiation patterns with reduced element count is a key challenge.

Purpose of the Study:

  • To develop novel methods for designing sparse periodic arrays.
  • To utilize polynomial factorization for synthesizing combined transmit/receive (T/R) apertures.
  • To quantify array sparsity using an element reduction factor.

Main Methods:

  • Polynomial factorization method applied to aperture synthesis.
  • Selection of transmit and receive aperture polynomials.
  • Ensuring the product polynomial represents the desired T/R effective aperture.
  • Defining and calculating the element reduction factor for sparsity measurement.

Main Results:

  • Successful design of sparse periodic arrays through polynomial factorization.
  • Demonstrated control over the combined T/R effective aperture function.
  • Quantified array sparsity and its relation to element reduction.
  • Showcased the trade-off between element reduction and beam mainlobe/sidelobe characteristics.

Conclusions:

  • Polynomial factorization offers an effective approach for designing sparse periodic arrays.
  • The developed methods allow for tailored T/R effective apertures and radiation patterns.
  • Sparsity can be achieved with controllable impacts on array performance metrics.