Well, in my opinion, you are not supposed to take airplane after the glaucoma surgery in the first week . As we know that glaucoma surgery can improve your vision, while it also can make your eyes become dangerous in the first recovery period. For example, you should know that if you take airplane after surgery, it will make your eyes become worse. If you are taking the plane, you will make your eyes suffer from many difficult and dangerous problems, such as the eye strains. As we know that because of the gravity, the plane can give you a kind of pressure on your eyes, when it takes off. So that can lead to eye strains and also can hurt your eyes. And your eyes are so sensitive and fragile that you should not take the risk. Besides, For example, you should avoid eye injuries by wearing a protective shield at night and with naps until you are advised by your doctor. Also, you should remember not sleep on the side of the operated eye for the first night. Anyway, just pay more attention to your eyes after the surgery.