Complex lamellar vector field

In vector calculus, a complex lamellar vector field is a vector field in three dimensions which is orthogonal to its own curl. That is, In vector calculus, a complex lamellar vector field is a vector field in three dimensions which is orthogonal to its own curl. That is, Complex lamellar vector fields are precisely those that are normal to a family of surfaces. A special case are irrotational vector fields, satisfying An irrotational vector field is locally the gradient of a function, and is therefore orthogonal to the family of level surfaces (the equipotential surfaces). Accordingly, the term lamellar vector field is sometimes used as a synonym for an irrotational vector field.The adjective 'lamellar' derives from the noun 'lamella', which means a thin layer. The lamellae to which 'lamellar flow' refers are the surfaces of constant potential, or in the complex case, the surfaces orthogonal to the vector field.