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We provide approximate analytic expressions for above-threshold ionization(ATI) transition probabilities and photoelectron angular distributions (PADs).These analytic expressions are more general than those existing in theliterature and include the residual binding potential in the electron continuumpropagation. They successfully reproduce the ATI side lobes and specificholographic structures such as the near-threshold fan-shaped pattern and thespider-like structure that extends up to relatively high photoelectronenergies. We compare such expressions with the Coulomb quantum orbitstrong-field approximation (CQSFA) and the full solution of the time-dependentSchr\"odinger equation for different driving-field frequencies and intensities,and provide an in-depth analysis of the physical mechanisms behind specificholographic structures. Our results shed additional light on what aspects ofthe CQSFA must be prioritized in order to obtain the key holographic features,and highlight the importance of forward scattered trajectories. Furthermore, wefind that the holographic patterns change considerably for different fieldparameters, even if the Keldysh parameter is kept roughly the same.

Analytic quantum-interference conditions in Coulomb corrected photoelectron holography