The present invention provides method and apparatus for treating tissue in a region at depth while protecting non-targeted tissue by cyclically applying cooling to the patients skin, and preferably to the region, and by applying radiation to the patient's skin above the region to selectively heat tissue during and/or after cooling is applied. At least one of cooling and radiation may be applied by successively passing a continuous output applicator over the patient's skin. Treatment may also be enhanced by applying mechanical, acoustic or electrical stimulation to the region.