Convenient operator formalism for Fourier optics and inhomogeneous and nonlinear wave propagation

Korpel, A.; Lin, H. H.; Mehrl, David J.

doi:10.1364/josaa.6.000630

Cited by 15 publications

(6 citation statements)

References 8 publications

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“…We therefore decided to use a numerical method which takes into account the effect of a thicker storage layer. The beam propagation method 11) is such a method. It is easy to implement and calculation times are significantly shorter than for other numerical methods as for example volume integral methods.…”

Section: Theoretical Calculation Of the Shift Selectivitymentioning

confidence: 99%

Shift Selectivity in Common-Aperture Holography

Hossfeld¹,

Knittel²,

Malki³

et al. 2007

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Section: Theoretical Calculation Of the Shift Selectivitymentioning

confidence: 99%

Shift Selectivity in Common-Aperture Holography

Hossfeld¹,

Knittel²,

Malki³

et al. 2007

jjap

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“…16,17) Inside the storage material, the beams for hologram writing and reconstruction processes are calculated by a scalar and fast Fourier transform (FFT)-based BPM. [8][9][10][11][12][13][14][15] Table I shows the main important parameters of the calculations. The diffraction efficiency of the reconstructed beam monotonically increases with the writing energy.…”

Section: Investigation Of the Diffraction Noise Caused By Thementioning

confidence: 99%

Comparison of Coaxial Holographic Storage Arrangements from the M Number Consumption Point of View

Kárpáti¹,

Bankó²,

Szarvas³

et al. 2007

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There are two known competitive arrangements for reflection-type coaxial holographic storage systems: the optical layout developed by OPTWARE, which is a so-called collinear or ''split-aperture system'', and the ''common-aperture system'' developed by the European consortium named ATHOS. We modeled the reference diffraction noise for both arrangements by the beam propagation method (BPM), and compared the results from the M number (M#) consumption point of view. We suggest the use of reference beam apodization for the split aperture system to reduce the diffraction noise caused by the reference beam at the object area.

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“…The applied BPM [20] is scalar, one directional and FFT-based, using the plane wave spectrum of the wave fronts to propagate the beams (see [21], pp. 55-61).…”

Section: Bragg Shift Selectivity Calculation With the Beam Propagatiomentioning

confidence: 99%

Selectivity and tolerance calculations with half-cone-shaped reference beam in volume holographic storage

Kárpáti¹,

Szarvas²,

Domján³

2006

Journal of Modern Optics

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When developing a compact holographic storage system it is beneficial to use a reflection-type arrangement, where the entire optical system is on the same side of the storage material. For reflection type holographic discs, it is important to use half-cone-shaped spherical reference beams to avoid the ghost images caused by phase conjugate readout. The goal of this paper is to look for appropriate engineering tools to model diffraction efficiency of finite volume holograms created by half-cone-shaped reference beams. Two numerical methods -volume integral and beam propagation -were applied to calculate the shift selectivity curves. Simulation results show significant discrepancies between the shift selectivity curves corresponding to the approximated analytical equation and the numerically calculated shift selectivity curves; there are no Bragg zeros and there are no selective and nonselective directions. Beside the shift selectivity curves, track, focus, tilt and wavelength tolerance values are shown for finite volume holograms.

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Convenient operator formalism for Fourier optics and inhomogeneous and nonlinear wave propagation

Cited by 15 publications

References 8 publications

Shift Selectivity in Common-Aperture Holography

Shift Selectivity in Common-Aperture Holography

Comparison of Coaxial Holographic Storage Arrangements from the M Number Consumption Point of View

Selectivity and tolerance calculations with half-cone-shaped reference beam in volume holographic storage

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