A hologram of a diffuse object is recorded at with a plane reference wave at to the axis

PHYSICS · Multi-part · Fermi University Physics · Optics & Photonics · Fourier optics and image formation · Fourier optics and image formation

What an Instrument Can See, Ch Keeping the phase: holography, wavefront modulation and adaptive optics

Problem

A hologram of a diffuse object is recorded at

\lambda = 633\ \mathrm{nm}

with a plane reference wave at

\theta_R = 35^\circ

to the axis. The object's spatial-frequency content extends up to

\nu_{\max} = 120

cycles per millimetre. The recording emulsion is specified to resolve spatial frequencies up to

3000

cycles per millimetre. ((a)) Compute the carrier spatial frequency

\nu_{\mathrm{car}} = \sin\theta_R/\lambda

and check whether the separation condition

\nu_{\mathrm{car}} \ge 3\nu_{\max}

is satisfied. ((b)) State the spatial frequency the emulsion must actually resolve,

\nu_{\mathrm{car}}+\nu_{\max}

, and say whether the emulsion is adequate.