# Breaking of Wavelength-Dependence in Holographic Wavefront Sensors Using Spatial-Spectral Filtering

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## Abstract

**:**

## 1. Introduction

## 2. Materials and Methods

## 3. Experimental Demonstration

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## 4. Results and Discussion

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## 5. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Acknowledgments

## Conflicts of Interest

## References

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**Figure 2.**Phase function cross section: (

**a**) object wave; (

**b**) reference wave in the hologram recording plane.

**Figure 4.**Distribution of the phase argument of the CGH with the value of the weight coefficient in the reference beam: (

**a**) 0.53λ for grayscale Fourier CGHs; (

**b**) 1.33λ for grayscale Fourier CGHs; (

**c**) 0.53λ for binary Fourier CGHs; (

**d**) 1.33λ for binary Fourier CGHs.

**Figure 5.**Correlation response in the output to the SLM of the grayscale and binary Fourier CGH with the value of the weight coefficient of the Zernike polynomial: (

**a**) 0.53λ for grayscale Fourier CGHs; (

**b**) 1.33λ for grayscale Fourier CGHs; (

**c**) 0.53λ for binary Fourier CGHs; (

**d**) 1.33λ for binary Fourier CGHs.

**Figure 6.**(

**a**) Cross section of the correlation function from the Figure 5a,b; (

**b**) normalized dependences of the amplitude of the maximum correlation response.

**Figure 7.**The normalized amplitude of the maximum of the correlation function depending on various parameters of the SLM for sources with a wavelength: (

**a**) ${\lambda}_{1}=473$ nm; (

**b**) ${\lambda}_{2}=532$ nm; (

**c**) ${\lambda}_{3}=561$ nm; (

**d**) dependence of maximum correlation function on SLM settings related to reference wavelength ${\lambda}_{0}$.

**Figure 8.**Comparison of the dependence of the maximum of the correlation function on the settings of the SLM relative to the reference wavelength λ

_{0}for the grayscale Fourier CGHs and binary at the wavelength: (

**a**) ${\lambda}_{1}=473$ nm; (

**b**) ${\lambda}_{2}=532$ nm; (

**c**) ${\lambda}_{3}=561$ nm.

**Figure 9.**Deviation of the value of the weight coefficient of the Zernike polynomial as a function of the SLM tuning associated with the reference wavelength ${\lambda}_{0}$ for sources with a wavelength: (

**a**) ${\lambda}_{1}=473$ nm; (

**b**) ${\lambda}_{2}=532$ nm; (

**c**) nm; (

**d**) the deviation of the position of the correlation response in the analysis plane.

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**MDPI and ACS Style**

Stsepuro, N.; Kovalev, M.; Zlokazov, E.; Kudryashov, S.
Breaking of Wavelength-Dependence in Holographic Wavefront Sensors Using Spatial-Spectral Filtering. *Sensors* **2023**, *23*, 2038.
https://doi.org/10.3390/s23042038

**AMA Style**

Stsepuro N, Kovalev M, Zlokazov E, Kudryashov S.
Breaking of Wavelength-Dependence in Holographic Wavefront Sensors Using Spatial-Spectral Filtering. *Sensors*. 2023; 23(4):2038.
https://doi.org/10.3390/s23042038

**Chicago/Turabian Style**

Stsepuro, Nikita, Michael Kovalev, Evgenii Zlokazov, and Sergey Kudryashov.
2023. "Breaking of Wavelength-Dependence in Holographic Wavefront Sensors Using Spatial-Spectral Filtering" *Sensors* 23, no. 4: 2038.
https://doi.org/10.3390/s23042038