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This study introduces an interval arithmetic method to analyze uncertainties in spherical conformal array antennas. The approach predicts how manufacturing tolerances affect antenna performance, ensuring reliable operation.

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Area of Science:

  • Electromagnetics and Antenna Theory
  • Computational Electromagnetics
  • Numerical Analysis

Background:

  • Spherical conformal array antennas are crucial for advanced communication systems.
  • Uncertainties in manufacturing parameters (e.g., curvature radii, excitation) impact antenna performance.
  • Existing analysis methods may not fully capture the impact of these tolerances.

Purpose of the Study:

  • To develop and validate a novel interval arithmetic method for analyzing uncertainties in spherical conformal array antennas.
  • To quantify the effects of manufacturing tolerances on antenna radiation patterns.
  • To provide a tool for predicting antenna performance before prototyping.

Main Methods:

  • Utilizing interval arithmetic to model uncertainties in curvature radii, excitation amplitude, and phase.
  • Employing a surrogate model based on full-wave analysis data for element factor description.
  • Deriving interval formulas for spherical radius and element position errors.

Main Results:

  • The method successfully establishes interval descriptions for element factors and analyzes the impact of tolerances.
  • Numerical results demonstrate the effectiveness and reliability of the interval arithmetic approach.
  • Comparisons with Monte Carlo methods and full-wave simulations validate the proposed technique.

Conclusions:

  • The proposed interval arithmetic method is effective for analyzing uncertainties in spherical conformal array antennas.
  • This approach enables accurate prediction of radiation performance degradation due to manufacturing tolerances.
  • The method is valuable for antenna design and pre-manufacturing stages to ensure operational reliability.