Beam refraction and displacement in a differential refractometer with an absorbing sample

Area of Science:

• Optics
• Optical Engineering
• Analytical Chemistry

Background:

• Differential refractometers are crucial for measuring refractive indices.
• Accurate analysis of optical beam behavior is essential for precise measurements.
• Absorbing samples introduce complexities in optical transmission analysis.

Purpose of the Study:

• To analyze the transmission of an optical beam through a differential refractometer's compound cell containing an absorbing sample.
• To derive mathematical formulas quantifying the effects of absorbing samples on optical beam propagation.
• To provide a theoretical framework for understanding differential refractometry with complex refractive indices.

Main Methods:

• Theoretical analysis of optical beam propagation.
• Mathematical derivation of formulas for beam shift and deflection.
• Modeling the interaction of light with an absorbing medium within a refractometer cell.

Main Results:

• Formulas for the lateral shift of the transmitted optical beam were obtained.
• Formulas for the deflection angle of the transmitted optical beam were derived.
• The analysis specifically addresses the impact of complex refractive-index differences.

Conclusions:

• The study provides a theoretical basis for differential refractometry with absorbing samples.
• The derived formulas enable quantitative prediction of optical beam deviations.
• This work enhances the understanding of refractometer performance with complex optical properties.