Investigation of M2 factor influence for paraxial computer generated hologram reconstruction using a statistical method

Abstract In this paper, we study the influence of the M 2 quality factor of an incident beam on the reconstruction performance of a computer generated hologram (CGH). We use a statistical method to analyze the evolution of different quality criteria such as diffraction efficiency, root mean square error, illumination uniformity or correlation coefficient calculated in the numerical reconstruction versus the increasing M 2 quality factor. The simulation results show us that this factor must always be taken into account in the CGH design when the M 2 value is bigger than 2.

[1]  O. Bryngdahl,et al.  Iterative Fourier-transform algorithm applied to computer holography , 1988 .

[2]  Joseph N. Mait,et al.  Understanding diffractive optical design in the scalar domain , 1995, OSA Annual Meeting.

[3]  P. Bélanger,et al.  Beam propagation and the ABCD ray matrices. , 1991, Optics letters.

[4]  J R Leger,et al.  Efficient array illuminator using binary-optics phase plates at fractional-Talbot planes. , 1990, Optics letters.

[5]  R. Gerchberg.  A practical algorithm for the determination of phase from image and diffraction plane pictures , 1972 .

[6]  Frank Wyrowski,et al.  Diffractive Optics for Industrial and Commercial Applications , 1997 .

[7]  M T Eismann,et al.  Iterative design of a holographic beamformer. , 1989, Applied optics.

[8]  Jan P. Allebach,et al.  Iterative Approaches To Computer-Generated Holography , 1989 .

[9]  Frank Wyrowski,et al.  Diffractive optical elements: iterative calculation of quantized, blazed phase structures , 1990 .

[10]  W. Thomas Cathey,et al.  Matrix description of near-field diffraction and the fractional Fourier transform , 1999 .

[11]  H. Herzig.  Micro-Optics : Elements, Systems And Applications , 1997 .

[12]  N. Bokor,et al.  Monte Carlo method in computer holography , 1997 .

[13]  Frank Wyrowski,et al.  Design theory of diffractive elements in the paraxial domain , 1993 .

[14]  Manuel Flury,et al.  Rapid prototyping of diffractive optical elements for high-power lasers using laser ablation lithography fabrication and coherence probe microscopy analysis , 2002 .

[15]  Claude Pare,et al.  BEAM PROPAGATION FACTOR OF DIFFRACTED LASER BEAMS , 1994 .