We measure the angular momentum content of modes in a flat, near-circular m
icrowave cavity with a rough perimeter and demonstrate localization in angu
lar momentum space. Because Schrodinger's wave mechanics and Maxwell's elec
trodynamics are equivalent for a 2d cavity, we compare our experimental res
ults directly with the quantum theory of rough 2d cavities [K.M. Frahm and
D.L. Shepelyansky, Phys. Rev. Leu. 78 (1997) 1440]. Introducing the concept
of effective roughness we find good qualitative agreement. (C) 2000 Publis
hed by Elsevier Science B.V. All rights reserved.