Abstract
A solution to the phase problem in optics is considered within the context of the registration and analysis of the amplitude-phase structure of optical nonuniformities in stationary transmitting media or in investigated objects. To solve the problem, the object or the medium is tested by radiation with a known structure. For a certain selected direction of testing, the structural change due to the interaction with the object is registered. Stationary media and objects can be tested along several directions The three-dimensional structure of the optical nonuniformities under study can be analyzed using preliminary information on the symmetry of the medium or the object. To obtain information on the amplitudes and phases of the light field and on their change resulting from the testing of the object, the modulation-spectral method is used. To solve the problem, the intensity distribution is directly detected for the spatial spectrum of the field and for that of the field additionally modulated in a special way. The modulation is performed in the plane of the analyzed filed. It should provide a visualization of the phase information contained in the light field. The obtained intensity distributions and the known initial field make it possible to calculate the two-dimensional structure of the analyzed field and therefore the effect of the optical nonuniformities of the medium or of the object on the field. It is important that the method requires no iteration procedures in solving the problem. This allows one to expect substantial speeding up of the processing and analyzing of the information if compared with the known methods. The paper deals with two variants of the influence of the medium or object on the testing radiation. The first one is connected with the spatial modulation of the field and is described by multiplication. In the second case, the effect of the object leads to redistribution of the radiation in the studied plane and is described by the operation of convolution.
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Translated from a manuscript submitted May 12, 2000.
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Merkin, A.A., Mironova, T.V., Sultanov, T.T. et al. Analysis of the amplitude and phase structure of optical nonuniformities in transmitting media with registration in the spatial frequency plane. J Russ Laser Res 21, 494–504 (2000). https://doi.org/10.1007/BF02508741
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DOI: https://doi.org/10.1007/BF02508741