Inverse square law

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Inverse square law

Does anyone have an absolute basic understanding of
"first order principles of energy dispersion"

(A) Energy from a point source disperses spherically
at the inverse square law.
(B) Energy from an infinite line source disperses cylindrically
at ½ inverse square law.

Question?
What is the energy dispersion from a finite line source?

Measured 90deg from center of line source, at distance x, where transition from ½ inverse square law, back to, inverse square law, takes place.

Can anyone throw light on this question without diversions?
1 First order principles only.
2 In space, zero boundaries.
3 Line length magnitudes greater than any wavelength of energy dispersed.

Thank you.
 

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