Time for photon to reach the furthest point of diffraction?

[SorcererXIII]

When a photon diffracts through a slit, how long does it take to reach the farthest point of the diffraction pattern once it leaves the source? Would be it be the same as the time it takes to get from the source to the slit, plus to get from the slit to farthest point of light on the far wall (i.e. do you add the distance from p1 to p2 to the distance from p2 to p3, and divide by c)?

Or does the light travel directly to each point unimpeded (i.e. using the distance from p1 to p2 divided by c, as if there were no obstruction inbetween)?

I am sorry to ask such a mundane question, I searched all over the internet and could not find an answer.

Just a layperson here with some physics interest.

Thank you,
Tom

 

[SorcererXIII]

Can anyone answer? Thank you.

 

[SorcererXIII]

Just thought I'd try one more time. Thanks.

 

[dmtr]

AFAIK the maximum probability would be associated with the path where the photon goes with the speed of light from the source to the slit, and from the slit to some point on the far wall.

-- Dmtr