Exemplary apparatus and method can be provided for cooling a skin tissue. For example, it is possible to use a contact arrangement comprising a distal surface to contact a surface of the skin tissue, and also to utilize a cooling arrangement. The cooling arrangement can be configured to cool at least one portion of the contact arrangement to a temperature that is less than about -4 degrees Celsius. The distal surface of the contact arrangement can comprise a plurality of dimples provided therein.
