设计并研究了两个有不同各向异性参数的半导体超常媒质矩形谐振腔，其中填充了部分右手半导体超常媒质和部分左手半导体超常媒质。通过作图法研究了充满非色散的右手半导体超常媒质和色散的左手半导体超常媒质的谐振腔中谐振模式的解。结果显示，谐振腔的谐振模式取决于半导体超常媒质的色散关系。讨论了每种谐振腔中包含的六种情况，分别表示两个区域的传播常数为实数和虚数的不同的组合，并且揭示了构建具有无相差特性的谐振腔的几何参数要求。

Two rectangular resonant cavities with different anisotropic parameters are designed and investigated, which are filled partially with right-handed semiconductor metamaterial (RHSM) and left-handed semiconductor metamaterial (LHSM). The resonant mode solutions of the general case of the 3-D rectangular resonator cavities filled with non-dispersive RHSM and dispersive LHSM are explored by graphical method. It is demonstrated that the resonant modes in such resonant cavities are closely dependent on the spatial dispersion relation of the semiconductor metamaterial. Each resonant cavity including six subcases of different combinations of real and imaginary propagation constants of the two regions is discussed, and requirements of the geometry parameters to construct a resonant cavity of no phase difference resonance are revealed.