Abstract:The accuracy of measuring optical aberrations in the random phase field by the Talbot wavefront sensor is theoretically investigated. The possibilities of a grating self-imaging phenomenon in the random phase field are investigated based on the simulation results. Random fields of two different types are considered: amplitude and phase Gaussian fields. Simulation results show that the cosine grating is more stable for phase noise in comparison with gratings that have Gaussian and square binary profiles on each… Show more
“…In contrast to the phase noise, where second order aberrations (defocus and astigmatism) are more stable to phase deviations in comparison to the third order [8], present simulations show that intensity variations affect values of the same order.…”
“…even in the presence of high level of amplitude noise. Besides, images do not contain any visible pit displacements as it is seen in the case of phase inhomogeneties [8,24]. On the other hand, pit images contain non constant intensity distributions and this leads to local displacements based on the Eq.…”
Section: Simulations and Discussionmentioning
confidence: 99%
“…It should be noted, that the restoration procedure for Talbot sensor is identical to Shack-Hartman one [23]. However, during optical wave propagation in the measuring channel random amplitude variations arises that lead to the local image distortions and can affect on the measuring errors of optical wavefront reconstruction [8]. Therefore, the purpose of the paper is to describe the effect of intensity variations on the wavefront measurement errors in the setup with Talbot wavefront sensor.…”
Paper deals with the theoretical investigations of measurement accuracy of optical aberrations by Talbot wavefront sensor in the presence of random amplitude variations. Theoretical prediction of intensity distribution for gratings of any type based on their spatial spectrum is obtained, and it is shown that grating is fully restored in Talbot plane even for the high fraction of random amplitude. The possibilities of self-imaging phenomenon is investigated based on the simulation results. Simulation results show that pit displacement error increases when the correlation length decreases or when grating spatial spectrum increases. It is found that for defocus aberration intensity variations decrease measured defocus value and increment of aberrations of same order (oblique and vertical astigmatisms).
“…In contrast to the phase noise, where second order aberrations (defocus and astigmatism) are more stable to phase deviations in comparison to the third order [8], present simulations show that intensity variations affect values of the same order.…”
“…even in the presence of high level of amplitude noise. Besides, images do not contain any visible pit displacements as it is seen in the case of phase inhomogeneties [8,24]. On the other hand, pit images contain non constant intensity distributions and this leads to local displacements based on the Eq.…”
Section: Simulations and Discussionmentioning
confidence: 99%
“…It should be noted, that the restoration procedure for Talbot sensor is identical to Shack-Hartman one [23]. However, during optical wave propagation in the measuring channel random amplitude variations arises that lead to the local image distortions and can affect on the measuring errors of optical wavefront reconstruction [8]. Therefore, the purpose of the paper is to describe the effect of intensity variations on the wavefront measurement errors in the setup with Talbot wavefront sensor.…”
Paper deals with the theoretical investigations of measurement accuracy of optical aberrations by Talbot wavefront sensor in the presence of random amplitude variations. Theoretical prediction of intensity distribution for gratings of any type based on their spatial spectrum is obtained, and it is shown that grating is fully restored in Talbot plane even for the high fraction of random amplitude. The possibilities of self-imaging phenomenon is investigated based on the simulation results. Simulation results show that pit displacement error increases when the correlation length decreases or when grating spatial spectrum increases. It is found that for defocus aberration intensity variations decrease measured defocus value and increment of aberrations of same order (oblique and vertical astigmatisms).
“…This is essential for assessing the performance and optimization of plasmonic devices in various applications 46 – 57 . In this realm recently several invaluable practical were proposed 58 – 64 .…”
Section: Plasmonics Biosensors Based On the Talbot Effectmentioning
We report on the theoretical models of the plasmoincs Talbot effect in graphene nanostructure. The Talbot effect for the plasmonics applications in the IR range is theoretically studied and the respective Talbot effect for the novel advanced plasmonics structures are numerically investigated for the first time. It is shown that the metamaterial structures with periodic grating configuration represents a complex three-dimensional lattice of beamlet-like graphene plasmonics devices. The calculated results agree well with the experimental ones. The results obtained can be used to create and optimize the structures considering diffraction limit for a wide range of application areas. Effective focusing of plasmonic waves with exact focal spots and a subwavelength full width at half maximum can be obtained by using periodic graphene grating.
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