The mode theory of the three-dimensional hologram

Sidorovich, V. G.

doi:10.1070/pu1978v021n12abeh005732

Cited by 5 publications

(16 citation statements)

References 2 publications

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“…Sffl -f£ 10 exp(3aZ/2)[exp(-zk 0 -r) + exp(-tE 0 ' *f-i(p 0 )] 9 (8) which is proportional to the conjugate pump field < § 0 *(r) for Z^L. Thus, the backscatter not only retraces the incident beams (B 0f J3 0 '), but also reverses the initial phase shift <p 0 .…”

Section: Duces Tomentioning

confidence: 89%

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Theory of Optical Ray Retracing in Laser-Plasma Backscatter

Lehmberg

1978

Phys. Rev. Lett.

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It is suggested that the optical ray-retracing effects observed in laser-produced plasmas originate from the same mechanism believed to cause phase conjugation from backward stimulated processes in liquids. .This mechanism is elucidated with the aid of a simple model, and generalized to include plasma inhomogeneity. A comparison is made with a recent experiment.Optical ray retracing, in which the transverse spatial structure of an incident beam is reproduced by its backscatter, is a well-known property of the Brillouin instability in high-power laser-plasma interaction, 1 ' 2 Attempts have been made to relate this phenomenon to the curvature of the critical surface, to channeling effects in the long focal region, or simply to the inherent preference of stimulated Brillouin scattering, (SBS) to radiate in the local backward direction, 1 Such explanations, however, fail to account for the reproduction of detailed spatial structure 1 (including even hot spots) in the beam 0 Consider the local-backscatter argument, for example, One can apply the usual dispersion relations and frequency-and phase-matching conditions to obtain the Brillouin gain coefficient aeos(A0/2), where A6 is the angle between the (locally) incident and backscattered rays 0 3 The resulting gain has an angular distribution exp[2aZcos(A#/2)] -exp(2aZ-4A0 2 /6# LB 2 ) that does indeed favor the exact backward direction A# = 0, but its angular divergence 66 LB = (l §/aZ)^2 is far too large to account for the observed phenomena.In this Letter, it is suggested that the ray-retracing effects arise from Bragg diffraction. For simplicity, consider the incident pump radiation at the focusing lens to consist to two or more isolated beams, which may be created by an apertured mask in front of the lens, When these beams are focused into a Brillouin-active medium, such as a plasma, their interference pattern produces an identical pattern in the gain coefficient. (The medium is assumed to operate in the strongly damped steady-state limit. 4 ) If this focal region is many wavelengths long, then it behaves essentially as an active volume hologram; i,e,, a small plane-wave noise field propagating through the region oppositely to any one of the pump beams will grow rapidly while Bragg diffracting into those directions opposite the other pump beams. Waves that do not propagate initially along any of these favored directions will simply not grow as rapidly. This effect has not been found in the standard treatments of SBS in plasmas 3 because these theories have not pursued the case where the pump consists of two or more nonparall el plane -wave components that can interfere,The Bragg-diffraction mechanism has also been suggested 5 to account for similar ray-tracing behavior (the so-called phase conjugation) of backward SBS 6 and stimulated Raman scattering 7 (SRS) from liquids, in which the Stokes amplitude S X (R) is approximately proportional to the pumpwave conjugate amplitude < § 0 *(R), The present analysis differs from the theoretical treatments of phase conjuga...

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Section: Duces Tomentioning

confidence: 89%

“…= 0), the high-gain part of the solution to Eqs. (4) and (5) is identical to expression J [8), excepting for the replacement aZ -~w{Z) = J 0 a{Z')dZ'. More generally, one can make the substitutions R = P +a lh exp(w + \iyZ),…”

Section: Duces Tomentioning

confidence: 94%

Theory of Optical Ray Retracing in Laser-Plasma Backscatter

Lehmberg

1978

Phys. Rev. Lett.

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“…EQUATIONS FOR SLOWLY VARYING AMPLITUDES Based on the Helmholtz equation, one can derive the system of equations [4,5] (2)…”

Section: Ewald Construction For Polarization Wavementioning

confidence: 99%

“…In this study, the mode theory is set forth as applied to a transmission hologram [4][5][6]. The mode theory of a reflection hologram was developed by the author and Leshchev and published in [9].…”

Section: Light Field Recordingmentioning

confidence: 99%

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Mode theory of 3D hologram

Sidorovich¹

2012

Opt. Spectrosc.

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Holograms of speckle fields

Zel'dovich¹,

Shkunov²,

Yakovleva³

1986

Sov. Phys. Usp.

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Studies on the electrodynamic theory of the process of readout of holograms recorded in the interference of an object speckle field and a smooth reference wave are reviewed. These holograms are classified as thin, thick-layer, and volume holograms, and the process of reconstitution is examined from a unitary standpoint for all these types of holograms. Calculations are performed of the diffraction efficiency and noise level with account taken of various physical factors: saturation of the photoresponse, shift in frequency and angle during reconstruction, shrinkage of the hologram material, etc. Substantial advantages of volume holograms are demonstrated with respect to efficiency and quality of reconstruction in the next five years and in the prospects up to the year 2000.

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The mode theory of the three-dimensional hologram

Cited by 5 publications

References 2 publications

Theory of Optical Ray Retracing in Laser-Plasma Backscatter

Theory of Optical Ray Retracing in Laser-Plasma Backscatter

Mode theory of 3D hologram

Holograms of speckle fields

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