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本文将＂两外空间＂概念与普通Ｔ矩阵公式相结合，提出了修正Ｔ矩阵公式。作为应用实例，本文用修正Ｔ矩阵理论研究了半空间随机球粒媒质的电磁波多散射，在Ｆｏｌｄｙ近似下得到了确定媒质有效波数的一个超越方程。低频时的数值结果表明：修正Ｔ矩阵方法当颗粒稀疏分布时是可行的，当颗粒致密分布时，尚需采用引入颗粒对分布函数的准晶近似。
In this paper, the concept of “two outer spaces” is combined with the common T matrix formula, and a formula of the modified T matrix is proposed. As an application example, this paper studies the multi-scattering of electromagnetic waves in half-space random spherulites by the modified T-matrix theory and obtains a transcendental equation to determine the effective wavenumber of the medium under the Foldy approximation. The numerical results at low frequencies show that it is feasible to modify the T matrix method when the particles are sparsely distributed. When the particles are densely distributed, the quasicrystal approximation of the distribution function of the introduced particles is still required.