The phrase "desert continues as far as the eye can reach" describes a landscape of endless barrenness. Synonyms for "desert" in this context could include wilderness, wasteland, or even tundra. To convey the vastness of the scene, one could say "as far as the eye can see" or "into infinity." Alternatively, to emphasize the unforgiving nature of the terrain, one might choose phrases like "endless expanse of desolation" or "uninhabitable wasteland." Depending on the tone and context of the piece, synonyms could be used to evoke different emotions in the reader, from awe to despair.