Increasing quality of computer-generated kinoforms using direct search with random trajectory method

Method of increase of quality of computer generated kinoforms is proposed. It is simple direct search method similar to direct binary search method for binary holograms generation. Main difference is that proposed direct search with random trajectory method designed to process arrays with multiple phase levels. First, kinoform is generated with conventional method such as Gerchberg-Saxton. Then, elements of kinoform are sequentially switched to obtain lower normalized standard deviation (NSTD) of reconstructed image from desired image. This process goes on until minimum NSTD drop level is reached. Proposed method provides average NSTD decrease 26%.

[1]  J R Fienup,et al.  Phase retrieval algorithms: a comparison. , 1982, Applied optics.

[2]  Nikolay N. Evtikhiev,et al.  Method of optical image coding by time integration , 2012, Photonics Europe.

[3]  Jan P. Allebach,et al.  Efficient design of direct-binary-search computer-generated holograms , 1991 .

[4]  Victor A. Soifer,et al.  Iteractive Methods For Diffractive Optical Elements Computation , 1997 .

[5]  W. Osten,et al.  Dynamic holography using pixelated light modulators. , 2010, Applied optics.

[6]  Victor A. Soifer,et al.  Methods for Computer Design of Diffractive Optical Elements , 2001 .

[7]  J. Fienup Invariant error metrics for image reconstruction. , 1997, Applied optics.

[8]  N. L. Kazanskiy,et al.  Design of DOEs for wavelength division and focusing , 2005 .

[9]  T. Ishinabe,et al.  Reflective Liquid-Crystal Displays , 2002 .

[10]  U. Schnars,et al.  Digital Holography: Digital Hologram Recording, Numerical Reconstruction, and Related Techniques , 2004 .

[11]  J. Allebach,et al.  Synthesis of digital holograms by direct binary search. , 1987, Applied optics.

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

[13]  Nikolay N. Evtikhiev,et al.  Numerical and optical reconstruction of digital off-axis Fresnel holograms , 2012, Photonics Europe.

[14]  Pavel A. Cheremkhin,et al.  Generation of keys for image optical encryption in spatially incoherent light aimed at reduction of image decryption error , 2014, Photonics Europe.

[15]  L. B. Lesem,et al.  The kinoform: a new wavefront reconstruction device , 1969 .

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

[17]  Jesús Lancis,et al.  Optical encryption based on computational ghost imaging. , 2010, Optics letters.

[18]  Pavel A. Cheremkhin,et al.  Comparison of kinoform synthesis methods for image reconstruction in Fourier plane , 2014, Photonics Europe.

[19]  Victor A. Soifer,et al.  Design of diffractive lenses for focusing surface plasmons , 2009 .

[20]  Nikolay N. Evtikhiev,et al.  A method of generating amplitude masks with a constant power spectra and using them to measure the two-dimensional modulation-transfer functions of optical systems , 2013 .