What is the Maxima Condition in Holography?

Thread starter Debam1224
Start date Dec 25, 2023
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Holography Laser Physics

In summary, the Maxima Condition in holography refers to the principle that the reconstructed image from a hologram displays maximum clarity and detail when the light used for reconstruction matches the reference beam's angle and wavelength during the recording process. This condition ensures optimal interference patterns, leading to better image quality and fidelity in the reconstructed holographic image.

Dec 25, 2023

Debam1224

Homework Statement: I came across one problem from Holography which is a subtopic in my DSE Paper(Laser and Fibre Optics) in Bsc. The problem is as follows:

Suppose the reference wave in hologram is given by. Eᵣ = E₀ e^{-i(ωt- k𝓏 - kₙ sin θ)}and the spherical wave emanating from point source is given as
Eₛₚₕ= E₁ e^{-i(ωt- k𝓏 - (kₓ²/2z₀))}
Then find out the resultant intensity in the plate. Show that the condition for maxima in the hologram is given by ∆x = 4λ (Choose θ = 15°)

I've attached what I've done. The intensity part is correct. But I'm confused about the maxima part because the question has specifically asked for
4λ whereas I got nλ. So, should I just put n=4 or is it wrong? I would really appreciate your views and answers. P.S.: Entirely typed in latex, not copied from any book.