Abstract
An attempt is made to solve the problem of the loss caused in a Gaussian beam by an off-axis circular aperture. Although in general the problem cannot be solved in closed form, three special cases are considered. If the offset is zero, the limit of the radial integration coincides with the radius of the circular aperture; in this case, the integration over the angular variable can be performed in closed form. In a second special case, an analytical expression can be obtained when the offset is small. A third special case occurs when the offset is large and equals the aperture radius.
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