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Exoplanet imaging and spectroscopy are now routinely achieved by dedicatedinstruments on large ground-based observatories (e.g. Gemini/GPI, VLT/SPHERE,or Subaru/SCExAO). In addition to extreme adaptive optics (ExAO) andpost-processing methods, these facilities make use of the most advancedcoronagraphs to suppress light of an observed star and enable the observationof circumstellar environments. The Apodized Pupil Lyot Coronagraph (APLC) isone of the leading coronagraphic baseline in the current generation ofinstruments. This concept combines a pupil apodization, an opaque focal planemask (FPM), and a Lyot stop. APLC can be optimized for a range of applicationsand designs exist for on-axis segmented aperture telescopes at $10^{10}$contrast in broadband light. In this communication, we propose novel designs topush the limits of this concept further by modifying the nature of the FPM fromits standard opaque mask to a smaller size occulting spot surrounded bycircular phase shifting zones. We present the formalism of this new conceptwhich solutions find two possible applications: 1) upgrades for the currentgeneration of ExAO coronagraphs since these solutions remain compatible withthe existing designs and will provide better inner working angle, contrast andthroughput, and 2) coronagraphy at $10^{10}$ contrast for future flagshipmissions such as LUVOIR, with the goal to increase the throughput of theexisting designs for the observation of Earth-like planets around nearby stars.

Apodized Pupil Lyot Coronagraphs with arbitrary aperture telescopes: novel designs using hybrid focal plane masks