Direct 2D calculation of quantized DOEs on the basis of a continuous series approach

Doskolovich, Leonid L.; Perlo, P.; Петрова, О. И.; Repetto, P.; Сойфер, В. А.

doi:10.1080/09500349708230687

Cited by 3 publications

(2 citation statements)

References 12 publications

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“…can be used for designing a two-wavelength DOE with M ¼ p 1 Á p 2 relief levels, by the rule According to equations (26), (28), designing a two-wavelength DOE reduces to solving two independent problems of designing quantized phase functions, which can effectively be dealt with through specially developed iterative algorithms [17,18]. Of interest is a variant of formula (26) at continuous functions ' 0 ðuÞ, ' 1 ðuÞ:…”

Section: Color Separation Doementioning

confidence: 99%

Design of DOEs for wavelength division and focusing

Doskolovich

Kazanskiy

Сойфер

et al. 2005

Journal of Modern Optics

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We propose a technique for calculating the color separation gratings aimed at separating plane light beams of different wavelengths into different diffraction orders. The technique is based on a special-type optimization criterion. With this criterion, the problem of calculating the piecewise-constant grating profile is reduced to sequentially solving independent problems of optimization of the step heights. We derived an analytical expression for the profile of a color separation grating that generalizes the familiar analytical solutions. The criterion introduced is used to design a diffractive optical element (DOE) that generates required light beams when it is illuminated by different wavelengths. Design of color separation gratings able to separate three and five different wavelengths and DOEs to demultiplex and focus the two-and three-wavelength beams is presented.

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Section: Color Separation Doementioning

confidence: 99%

Design of DOEs for wavelength division and focusing

Doskolovich

Kazanskiy

Сойфер

et al. 2005

Journal of Modern Optics

Self Cite

View full text Add to dashboard Cite

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“…In this case, DOE calculation was based on a non-linear transformation of DOE phase function according to the law of color separation grating [23]. On the basis of the method of phase nonlinear transformation L. Doskolovich has developed an original method for calculating the quantized DOE, using the approximation of the discrete complex transmission function of a quantized DOE by a truncated series of diffraction orders [24,25]. The developed method is equivalent by its computational cost to the gradient algorithms for calculating DOE with a continuous phase function.…”

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confidence: 99%