A surface light emitting semiconductor laser element, comprises a
substrate, a lower reflector including a semiconductor multi-layer
disposed on the substrate, an active layer disposed on the lower
reflector, an upper reflector including a semiconductor multi-layer
disposed on the active layer, a compound semiconductor layer having a
first opening for exposing the upper reflector and extending over the
upper reflector, and a metal film having a second opening for exposing
the upper reflector disposed inside of the first opening and extending
over the compound semiconductor layer, wherein the metal film and the
compound semiconductor layer constitute a complex refractive index
distribution structure where a complex refractive index is changed from
the center of the second opening towards the outside. A method of
emitting laser light in a single-peak transverse mode is also provided.