There are two major types of waves viz; mechanical waves and electromagnetic eaves. Mechanical waves such as sound waves are waves that require a medium or matter to pass/travel through while electromagnetic waves like light waves do not strictly require a medium to travel i.e through vacuum.
Electromagnetic waves are transverse waves i.e their particles move perpendicularly to the direction of the wave while mechanical waves can either be transverse or longitudinal. All waves carry energy from one medium to another and are capable of refraction i.e. change of direction.
Therefore, both mechanical and electromagnetic waves carry energy and refract.
