Beam emergence from cylindrical lens

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if a cylindrical lens is put in the path of a laser beam what is expected to be seen at its focal plane? how will the beam look like after emerging from it?
 
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I am not at all convinced about focusing along one axis .. trying really hard 2 comprehend, but the concept of a cylindrical lens is not sinking in. I am having tough time understanding the BASIC physics behind it. Consider me to be the most dumb student and help me over this.
tnx