A plane electromagnetic (em) wave, amplitude- and frequency-modulated as a linear chirp, is incident on a dielectric sphere that hosts an eccentric, spherical, pec (perfect electric conductor) inclusion. This radiation problem is solved in the frequency domain by use of symmetry-dependent, spherical eigenvectors, the end-result being a set of linear equations for the wave amplitudes of the frequency spectrum of the electric field in every part of space. That set is solved by truncation and matrix-inversion, separately for even- and odd-symmetry wave amplitudes. The backscattered chirp is found by an inverse Fourier transform that yields the time-dependent, monostatic, radar cross section (mrcs). A numerical application manifests the possibility to detect a pec sphere concealed in an acrylic sphere by use of a wide-band chirp that targets a morphology-dependent resonance (mdr) of the composite body. Our theory and code are validated by use of a commercial software.

振幅和频率调制为线性chi的平面电磁波（em）入射到介电球体上，该介电球体包含偏心，球形，pec（完美电导体）夹杂物。通过使用依赖于对称性的球状特征向量在频域中解决了此辐射问题，最终结果是一组线性方程组，用于求解空间中每个部分的电场频谱的波幅。该集合通过截断和矩阵求逆分别针对偶数和奇数对称波幅度进行求解。通过反向傅立叶变换可以找到反向散射的线性调频，该变换会产生与时间有关的单基地雷达横截面（mrcs）。数值应用表明，可以通过使用宽带chi声波来检测隐藏在丙烯酸球体中的佩奇球，该chi声波以复合体的形态相关共振（mdr）为目标。我们的理论和代码已通过使用商业软件进行了验证。