How do I load OSM cached files in OpenLayers?

Question

I have some cached files from OSM , I've seen example that loads the files using this command :

var newLayer = new OpenLayers.Layer.OSM("Local Tiles", "tiles/${z}/${x}/${y}.png", { isBaseLayer: true });            `

Is there an alternative option to show the same tiles using different layer (I don't want the perma link of OSM on the MAP) , Maybe using the Layer.XYZ ? If so , How ?