4. The intensity I of a laser in an absorbing medium decreases exponentially with distance z from theinterfaceas I(z)=I initial(e^(-z/L) ,whereListhespaceconstant(orpenetrationdepth),andI0 istheinitial intensity (at distance zero from the interface). (a) To what exact percentage of its initial value does the intensity drop within the distance z=L, and to what percentage at z=2L and z=3L? (b) If L=0.5mm, at what distance z has the laser intensity dropped to 50% of its initial value?

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4. The intensity I of a laser in an absorbing medium decreases exponentially with distance z from theinterfaceas I(z)=I initial(e^(-z/L) ,whereListhespaceconstant(orpenetrationdepth),andI0 istheinitial intensity (at distance zero from the interface). (a) To what exact percentage of its initial value does the intensity drop within the distance z=L, and to what percentage at z=2L and z=3L? (b) If L=0.5mm, at what distance z has the laser intensity dropped to 50% of its initial value?

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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