Opto-electronics

, Volume 2, Issue 2, pp 73–80 | Cite as

A new method for producing point holograms

  • G. Groh
Papers
Received:
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Abstract

A new method is proposed for producing point holograms by utilising highly correlated, extended sources rather than point-like sources in the recording process. The theory of this method is presented. Its feasibility is demonstrated experimentally. A multiple imaging experiment is described which utilises this kind of hologram. Advantages and limitations of holograms of extended sources are discussed.

Keywords

Communication Network Imaging Experiment Multiple Imaging Extended Source Recording Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of Symbols

R

complex amplitude of the reference wavefront in the hologram plane

S

complex amplitude of the signal wavefront in the hologram plane

D

complex amplitude of the reconstructing wavefront in the hologram plane

T

complex amplitude of the reconstructed wavefront in the hologram plane

r

complex amplitude of the wavefront illuminating the reference transparency

s

complex amplitude of the wavefront illuminating the reference transparency

d

complex amplitude of the wavefront illuminating the reference transparency

t

complex amplitude of the wavefront illuminating the reference transparency

p

amplitude transmittance of the reference transparency

σ

amplitude transmittance of the signal transparency

δ(δ-function)

amplitude transmittance of the reconstructing transparency

τ

amplitude transmittance of the reconstructed transparency

Pr,Ps

propagation functions at distancesz r ,z s , respectively (equation 3)

x, y

co-ordinates in the source plane

σ, η

co-ordinates in the hologram plane

zr,zs

distances of the reference, signal source from the hologram plane

Xr,yr

co-ordinates of the reconstructing source (δ-function)

a, h

shift co-ordinates in the autocorrelation integral (equation 12)

fr,fs

Fourier transform operator at distances zr,z s (equation 7a) wavelength

k=2π/λ

wavenumber

*

conjugate complex

(*)

convolution

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References

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Copyright information

© Chapman and Hall Ltd. 1970

Authors and Affiliations

  • G. Groh
    • 1
  1. 1.Philips Forschungslaboratorium GmbHLaboratorium HamburgGermany

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