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Many laser interaction models assume that incident focused laser fields are Gaussian and use either the approximate TEM 00 series model or the exact integral Gaussian angular-spectrum solution. Many practical laser systems, however, produce flat-top transverse intensity profiles, and indeed, such profiles are often desired. Here, an exact, integral solution is derived for all of the vector components having a general flattened Gaussian profile using the angular-spectrum method. This solutiondoi:10.1364/josab.23.002157 fatcat:ylb3i7ysz5d7rhlmr7tzpq3grq