Table 1 Symbols and parameters used in this study.
Symbol | Unit | Description |
|---|---|---|
\(\theta \) | Radian | Needle azimutal angle, set to be 0 in this paper |
\(\varphi \) | Radian | Needle polar angle, set to be 0 in this paper |
\(\phi \) | Radian | Needle rotation angle, set to be positive number in this paper |
a | m | Distance between the first and second rows of the electrode array (= third and fourth rows) |
b | m | Distance between the second and third rows of the electrode array |
s | m | Distance between two columns of electrode array |
\(\kappa _{\mathrm{L}}\) and \(\kappa _{\mathrm{T}}\) | \(\Omega \) m | Longitudinal and transverse impedivity |
\({\bar{\kappa }}\) | \(\Omega \) m | Geometric mean of the impedivity, defined as \({\bar{\kappa }}:=\sqrt{\kappa _{ \text {L}}\kappa _{\text {T}}}\) |
\(\rho _{\mathrm{L}}\) and \(\rho _{\mathrm{T}}\) | \(\Omega \) m | Longitudinal and transverse resistivity |
\(\tau _{\mathrm{L}}\) and \(\tau _{\mathrm{T}}\) | \(\Omega \) m | Longitudinal and transverse reactivity |
\(\alpha ^2\) | Dimensionless | Anisotropy ratio of the muscle, defined as \(\rho _{\mathrm{L}}/\rho _{\mathrm{T}}\) |
\(K_{\mathrm{half\,space}}\) | Dimensionless | Domain factor of the half space, that is \(2\pi \) |
\({\widehat{K}}_i\) and \({\widehat{K}}_i^\perp \) | Dimensionless | Domain factor of the needle for \(i=1,2,4,6,17\) |
\(Z_i\) and \({\widehat{Z}}_i\) | \(\Omega \) | Measured and simulated apparent impedance for \(i=1,2,4,6,17\) |
