It is shown how novel arrangements of conventional (static/linear) optical elements can compensate for many classes of time-varying phase distortions in optica trains. Precision corner arrays, lens arrays, and K-mirror arrays are all applicable as pseudoconjugation elements in certain classes of problems. In some cases multipassing (four or more passes) of a distorting medium can offer improved performance. Although the compensation is more limited than that available from nonlinear optical phase conjugation, problems associated with thresholds, pumps, and frequency translations are eliminated.