We calculate the photoconductance of two-dimensional ballistic microst
ructures subject to a high-frequency electromagnetic field. First, we
study a simple quantum point contact. Absorption of photons is due to
electronic transitions between different modes. A transition between a
propagating and a nonpropagating mode results effectively in a backsc
attering process, and gives a negative or positive contribution to the
current, depending on the gate voltage; the total quantized conductan
ce acquires an additional, quite pronounced step-structure. Then, we d
emonstrate a new effect where the electron-photon interaction in a str
ucture of slightly more complex geometry plays the same role as impuri
ty scattering does in a ''dirty'' system. All relevant photons of the
external electromagnetic field are coherent and spatial interference e
ffects in electron-photon scattering become possible in spite of the i
nelastic nature of the collisions. These interference effects can be c
ontrolled by the gate voltage or the frequency of the electromagnetic
field. As an illustration we calculate the photoconductance of a doubl
e point-contact geometry.