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A new method for describing the change of the laser beam axis trajectory in the Anderson differential cuvette to measure the refractive index of liquids
 V.V. Davydov 1, D.S. Provodin 1, A.A. Gol’dberg 1, I.D. Kochetkov 1
 1 Peter the Great Saint-Petersburg Polytechnical University,
  195251, Saint-Petersburg, Russia, Polytehnicheckay st. 29
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DOI: 10.18287/2412-6179-CO-1324
Pages: 217-224.
Full text of article: Russian language.
 
Abstract:
We substantiate the necessity of developing a  small-sized refractometer with Anderson's  differential cuvette for the highly accurate rapid check of the state of liquid  media in real time. Problems that arise in determining optimal design  parameters of the optical part of the refractometer to reduce the measurement  error of the refractive index ranging from 1.2300 to 2.2300 are indicated. It is noted that for the  problem of determining optimal parameters of Anderson's differential cuvette to be  addressed, an analytical expression for the medium refractive index nm needs to be deduced as a  function of all parameters of the optical part of the refractometer. For the first time, an  equation is derived to study a change in the trajectory of the laser radiation  axis inside and outside of the Anderson  cuvette, depending on its various parameters, values of the refractive indices  of the reference and examined liquids, ns and nm. The design of a small-sized differential-type refractometer for  measurements is developed and results of studying various liquid media are  presented. The measurement error of the refractive index of 0.0001 in the developed  design of the refractometer is confirmed. Directions of research for the further error  reduction are outlined, that would allow the developed refractometer design to  be used in scientific research and as a verification scheme in metrology.
Keywords:
laser radiation, refraction, Anderson differential cuvette, axis  trajectory, beam, medium state, refractive index, photodiode array,  measurement error.
Citation:
  Davydov VV, Provodin DS, Gol’dberg AA, Kochetkov ID. A new method for describing the change of the laser beam axis trajectory in the Anderson differential cuvette to measure the refractive index of liquids. Computer Optics 2024; 48(2): 217-224. DOI: 10.18287/2412-CO-1324.
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