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We perform a detailed analysis of above threshold ionization (ATI) in atomswithin the strong field approximation (SFA) by considering spatiallyinhomogeneous monochromatic laser fields. The locally enhanced field induced byresonance plasmons is an example for such inhomogeneous fields. We investigatehow the individual pairs of quantum orbits contribute to the photoelectronspectra and the angular electron momentum distributions. We demonstrate thatthe quantum orbits have a very different behavior in the spatiallyinhomogeneous field when compared to the homogeneous field. In the case ofinhomogeneous fields, the ionization and rescattering times differ betweenneighboring cycles, despite the field being monochromatic. Indeed, thecontributions from one cycle may lead to a lower cutoff, while another maydevelop a higher cutoff. Within our model, we show that the ATI cutoff extendsfar beyond the semiclassical cutoff, as a function of inhomogeneity strength.Furthermore, the angular momentum distributions have very different featurescompared to the homogeneous case. For the neighboring cycles, the electronmomentum distributions do not share the same absolute momentum, and they do nothave the same yield

Quantum-orbit analysis of above threshold ionization by intense spatially inhomogeneous field