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- W4206351151 abstract "The ideal paraboloidal reflector (IPR) is analyzed as a 4D spatio-temporal linear system having a dynamic focal plane response that is characterized by an idealized scalar Dirac plane-wave (PW) signal on the aperture. Using the same path-difference equations that are used for classical steady-state quasi-monochromatic (QMC) analysis, simple algebraic expressions are derived for the spatio-temporal focal plane response <inline-formula> <tex-math notation=LaTeX>$h_{fp}left ({boldsymbol {x},ct }right)$ </tex-math></inline-formula> to the Dirac-PW. These expressions for <inline-formula> <tex-math notation=LaTeX>$h_{fp}left ({boldsymbol {x},ct }right)$ </tex-math></inline-formula> are used to directly determine the focal plane response to far-field on-axis short-time transient signals, thereby avoiding the complexities of QMC-based methods for the analysis of such signals. The derived first-order approximation of <inline-formula> <tex-math notation=LaTeX>$h_{fp}left ({boldsymbol {x},ct }right)$ </tex-math></inline-formula> describes its spatio-temporal region of support (ROS) and amplitude whereas the second-order approximation includes a further spatio-temporal distortion that is the dynamic equivalent of the Petzval aberration. Examples of the focal plane response to highly transient far-field pulses are described." @default.
- W4206351151 created "2022-01-26" @default.
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- W4206351151 date "2022-01-01" @default.
- W4206351151 modified "2023-09-25" @default.
- W4206351151 title "On the Dynamic Response of the Ideal Paraboloidal Reflector" @default.
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- W4206351151 doi "https://doi.org/10.1109/access.2021.3137747" @default.
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