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Propagation of laser beam parameters through pure phase transmittances

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1996-08-15
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Elsevier Science BV
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The propagation laws of the intensity moments of a laser beam through ABCD optical systems are generalized to include pure phase transmittances. This is done by representing the behaviour of such transmittances by means of a 4 x 4 matrix, hi, which can be handled, to some extent, as the ABCD-matrices associated with ordinary first-order optical systems. This formalism enables the application of ABCD propagation formulae to cascaded optical systems containing pure phase transmittances. Matrix M is used to determine the intensity moments at the output of two special quartic phase transmittances, namely, a circular spherically aberrated lens and a pair of orthogonal cylindrical (also aberrated) lenses.
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© 1996 Elsevier Science B.V. The research work leading to this paper has been supported by the Comisión Interministerial de Ciencia y Tecnología of Spain, under Project No. TAP93-211, within the framework of EU-1269 Project.
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