Segment out all polygons of an overlapping tiff image using a shapefile

[Liang]

Hi, list
I have a shapefile which containing a lot of regions(polygon), and a
corresponding TIFF file. My work is segment out all the regions into
small TIFF files. How can I do it using ArcMap? I have tried
"ArcToolbox\....\Extract by mask", but the the out put is DEM data.
How can I get the TIFF output? is there any automatic approach using
script?
My major is about computer vision and I have little knowledge about
remote sensing and ESRI software.

Thank you in advance.