Table 1 Parameters and effective-wavelength calibration for the large Halbach array (\(m=5\), \(\tau =\lambda /2\), \(h_{\textrm{eff}}=h+\Delta g_1^{*}=16.7~\textrm{mm}\)).

From: Magnetic field sensing of 3D printed Halbach arrays

Window/Wavelet

\(k_{\textrm{eff}}\) [m\(^{-1}\)]

\(k_0\) [m\(^{-1}\)]

\(\lambda _{\textrm{nominal}}\) [mm]

\(\xi _{\textrm{nominal}}\) [–]

Rectangular

78.2540

123.6848

50.80

1.5813

Blackman

88.7560

123.6848

50.80

1.3936

Blackman–Harris

76.5551

123.6848

50.80

1.6159

Tukey (\(\alpha =0.50\))

86.4613

123.6848

50.80

1.4301

Mexican–hat

87.7261

123.6848

50.80

1.4105

  1. \(^{*}\Delta g_1\) denotes the deviation of the sensor lift-off from its nominal value; it affects the evanescent attenuation with height and arises from manufacturing imperfections (including casing wall thickness/encapsulation layers, adhesive films, and fixture tolerances) and measurement uncertainties