What is the physical limit of the edge steepness of a flat top beam Profile?

We image the output (IR ns pulses) of a multimode fiber to our target in order to drill holes. But the low steepness of the flat top causes flaking on the edges of the hole. The material is a mulilayer structure.

I like to know the physical relation between the steepness of the beam profile edges with respect to the fiber core diameter, NA and wavelength.

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