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The measurement of radiating pattern by using the cylindrical function

The paper proposes a new method of measuring radiating patterns from antennas or EMI sources. In this method, the cylindrical function is adopted for the near-to-far-field transformation. The new measuring method does not require the large free space prescribed by FCC and CISPR. The radiated electric field is described by using the series cylindrical function, i.e. the Hankel function, with unknown series coefficients. Applying the boundary condition on the virtual boundary, which surrounds the radiating objects in free space, the unknown series coefficients in the radiated field can be determined. Using asymptotic expansion of the Hankel function with the known series coefficients, the far-field data, that is the radiating patterns, are given. In order to verify the proposed method, numerical experiments are performed with a line sources array. The results show good agreement with the array antenna pattern equation. Moreover, two types of measurement systems are suggested for the radiating patterns, both employing a vector network analyser. Accurate radiating patterns can be measured with compact systems using the proposed method.