Mr. Rollins’s return to action in 1961, complete with a contract from RCA Victor Records that was unusually lucrative for a jazz musician, was treated as major news by the jazz press. (In an attempt to cash in on the publicity he had generated during his long absence, the company called his comeback album “The Bridge,” which was also the title of one of the tracks.)

Consistently Surprising

Over the next several years, his profile remained high: He performed in nightclubs, in concert and at festivals all over the world, and he wrote and recorded music for the hit 1966 British film “Alfie.” And his music remained consistently surprising.

He surrounded himself with an ever-shifting cast of talented musicians, ranging from young experimentalists (he alienated many old fans and won some new ones by enthusiastically, if briefly, working with avant-gardists like the trumpeter Don Cherry) to the venerable Coleman Hawkins, the saxophonist he called his idol, with whom he recorded an album in 1963.

The 1960s were a busy and productive time for Mr. Rollins. But before the decade was over, he had vanished again.

He did no recording and almost no performing between 1966 and 1972, spending much of his time in Japan and India on what he later said was a spiritual quest. He returned to the studio in 1972 to record “Sonny Rollins’ Next Album” for the small Milestone label, for which he would continue to record for more than 30 years, and he was soon back at the forefront of the jazz world.

Critics were often unkind to Mr. Rollins in the years following his comeback, especially when, like many of his fellow jazz musicians in the 1970s and ’80s, he embraced electric instruments and rock rhythms. He even collaborated with the Rolling Stones, overdubbing saxophone parts to three tracks on their album “Tattoo You” (1981), although he turned down an offer to tour with them. In performance, he began emphasizing the more obviously crowd-pleasing elements of his music, notably his penchant for calypsos.