## 2 Results
### Scattering Cross-Section of Bianisotropic Spheres in a Vacuum
Excluding the coefficients \((pq)\), we obtained the relationship between \((ab)\) and \(\overset{\rightarrow}{A}\)  
\[\mathbf{H}_{in}=\mathbf{h}(\mathbf{k})e^{i\mathbf{k}\mathbf{r}}=\frac{1}{i}\sum_{lm}\Bigl{(}p_{lm }\mathbf{M}_{lm}^{1}+q_{lm}\mathbf{N}_{lm}^{1}\Bigr{)},\ \ \mathbf{h}=\mathbf{\hat{k}}\times\mathbf{\epsilon} \tag{12}\]4  
The amplitudes of the bianisotropic orbitals \(A_{q}\) were found from Equations (21) and (23) as follows  
\[\mathbf{H}_{in}=\mathbf{h}(\mathbf{k})e^{i\mathbf{k}\mathbf{r}}=\frac{1}{i}\sum_{lm}\Bigl{(}p_{lm }\mathbf{M}_{lm}^{1}+q_{lm}\mathbf{N}_{lm}^{1}\Bigr{)},\ \ \mathbf{h}=\mathbf{\hat{k}}\times\mathbf{\epsilon} \tag{12}\]5  
Substituting the amplitudes \(A_{q}\) from Equation (24) into Equation (23), we obtained the T-matrix for a bianisotropic sphere with arbitrary effective medium parameters and the scattering amplitudes \((ab)\) in terms of the parameters of the incident wave \((pq)\) as  
\[\mathbf{H}_{in}=\mathbf{h}(\mathbf{k})e^{i\mathbf{k}\mathbf{r}}=\frac{1}{i}\sum_{lm}\Bigl{(}p_{lm }\mathbf{M}_{lm}^{1}+q_{lm}\mathbf{N}_{lm}^{1}\Bigr{)},\ \ \mathbf{h}=\mathbf{\hat{k}}\times\mathbf{\epsilon} \tag{12}\]6  
The scattering cross-section \(Q_{s}\) can be found from the scattering amplitudes as  
\[\mathbf{H}_{in}=\mathbf{h}(\mathbf{k})e^{i\mathbf{k}\mathbf{r}}=\frac{1}{i}\sum_{lm}\Bigl{(}p_{lm }\mathbf{M}_{lm}^{1}+q_{lm}\mathbf{N}_{lm}^{1}\Bigr{)},\ \ \mathbf{h}=\mathbf{\hat{k}}\times\mathbf{\epsilon} \tag{12}\]7  
To validate our formulas and codes and check the accuracy of the numerical results obtained, in Figure 3, we compare our results with the published results of [PERSON] et al. and [PERSON] et al. (2014, 2015). In Figure 3a, we show the scattering cross-section \(Q_{s}/\left(\pi R^{2}\right)\) as a function of the angles \(\theta\) for the anisotropic sphere with \(\hat{e}=1\) and \(\hat{\mu}=\hat{1}+(\mu_{s}-1)\hat{2}\hat{\Xi}\) for various values of \(\mu_{s}\) in linear polarization for \(\alpha=0\). In Figure 3b, we show the scattering cross-section \(Q_{s}/\left(\pi R^{2}\right)\) as a function of the angles \(\theta\) for the gyromagnetic sphere with \(\hat{e}=1\) and \(\hat{\mu}=\hat{1}-i\mu_{s}(\hat{x}\hat{y}-\hat{y}\hat{x})\) for various values of \(\mu_{s}\) in left- and right-handed circular polarizations. Figure 3 is an exact match with the results obtained in Figure 2 of Ref. [43] and Figures 2 and 3 of Ref. [45]. In Figure 4a,b, we plot the dependence of the reduced scattering cross-section \(Q_{s}/\left(\pi R^{2}\right)\) for all incidence angles \(\theta\) and \(\phi\) for a bianisotropic sphere with the effective material param  
\[\mathbf{H}_{in}=\mathbf{h}(\mathbf{k})e^{i\mathbf{k}\mathbf{r}}=\frac{1}{i}\sum_{lm}\Bigl{(}p_{lm }\mathbf{M}_{lm}^{1}+q_{lm}\mathbf{N}_{lm}^{1}\Bigr{)},\ \ \mathbf{h}=\mathbf{\hat{k}}\times\mathbf{\epsilon} \tag{12}\]8 **(a)** Reduced scattering cross-section \(Q_{s}/\left(\pi R^{2}\right)\) for all angles \(\theta\) in response to the linear polarization \(\alpha=0\) for an anisotropic sphere with the values \(\mu_{s}=1.2\) (black), \(1.4\) (red), \(1.6\) (green), \(1.8\) (blue), and \(x=k_{0}R=4\). **(b)** Reduced scattering cross-section \(Q_{s}/\left(\pi R^{2}\right)\) for all angles \(\theta\) for an anisotropic sphere with \(\mu_{g}=0.4\) (black—LCP, red—RCP), \(0.8\) (green—LCP, blue—RCP), and \(x=k_{0}R=4\). eters color-coded in Figure 1b and with \(x=k_{0}R=1\). Please note that to emphasize that our method is applicable to arbitrary bianisotropic materials, the effective parameters matrix \(\hat{M}\) color-coded in the bottom of panel Figure 1b corresponds to a reciprocal material with effective parameters randomly generated in the range between \(-5\) and \(5\). This material features anisotropic dielectric permittivity, magnetic permeability, and chirality tensors, which can be engineered by combining split-ring, helix, omega, fishnet, parallel-plate, and wire metaatoms [16; 17].