用解析法研究了非局域非线性介质构成的平板波导中正交偏振、中心重合的双高斯光束的传输规律，得到了两光束各参量的演化方程和两个临界功率，其大小与耦合系数m和非局域程度有关。在无双折射的情形下，当两光束初始束宽相等时，临界功率也相等。当光束初始功率等于临界功率时，得到了两个正交偏振的高斯型线偏振空间孤子，其与介质的非局域程度无关。对于强非局域情形，在无双折射条件下，得到了光束各参量的演化解析表达式。当总功率等于临界功率，而两光束功率不相等时，得到了两个正交偏振的高斯型呼吸子，功率大的光束束宽作周期压缩振荡，功率小的光束束宽作周期展宽振荡。

The propagation rules of double orthogonal polarization and coinciding centre Gaussian beams which propagate in nonlocal nonlinear planar waveguides are studied with analytical method. The evolution equations of two beam various parameters and two critical powers are obtained, the values of which relate to the coupling coefficient and the degree of nonlocality. In the case of the unique refraction, the critical powers of two beams are the same when the initial beam widths are equal to each other. When the initial power equals the critical power, two orthogonal polarization Gaussian linear spatial solitons are derived, which are irrelevant with the degree of nonlocality of the medium. For the strongly nonlocal case, under the condition of unique refraction, the analytical evolution expressions of various parameters of beams are obtained. When the total power is equal to the critical power, and the two beam powers are not the same, two orthogonal polarization Gaussian types of breathers are obtained, the higher power beam width compressing oscillates periodically and the lower power beam width broadening oscillates periodically.