Olexander Ushenko ^1,2* Alexander Dubolazov ^1* Olexander Bilookyi ³ Jun Zheng ^2* Olexander Olar ¹ Yuriy Ushenko ¹ Iryna Soltys ¹ Ivan Mikirin ¹ Valeriy Skliarchuk ¹ Zhebo Chen ²

• ¹ Yuriy Fedkovych Chernivtsi National University, Chernivtsi, Ukraine
• ² Taizhou Institute of Zhejiang University, Taizhou, China
• ³ Bukovinian State Medical University, Chernivtsi, Ukraine

The principles and effectiveness of the method of laser polarization interferometry of dehydrated blood films (facies) for the differential diagnosis of thyroid pathology have been studied. For this purpose, a theoretical description of the processes of formation and layer-by-layer phase scanning of the polarization structure of speckle fields in the blood facies of donors and patients with nodular goiter, autoimmune thyroiditis, and papillary cancer has been developed for the first time. A statistical analysis of holographically reconstructed maps of polarization ellipticity of the singly scattered component of the speckle field was conducted. Based on this analysis, the most sensitive markers for the diagnosis and differentiation of thyroid pathology were identified. Excellent diagnostic accuracy (91%-93%) and very good differentiation accuracy (86%-89%) were achieved for nodular goiter, autoimmune thyroiditis, and papillary cancer. 𝑆 1 (𝑟) = (𝐸 𝑥 * 𝐸 𝑥 + 𝐸 𝑦 * 𝐸 𝑦 )(𝑟); (16) 𝑆 2 (𝑟) = (𝐸 𝑥 * 𝐸 𝑥 -𝐸 𝑦 * 𝐸 𝑦 )(𝑟); (17) 𝑆 3 (𝑟) = ( 𝐸 𝑥 * 𝐸 𝑦 + 𝐸 𝑦 * 𝐸 𝑥 )(𝑟); (18) 𝑆 4 (𝑟) = 𝑖[(𝐸 𝑦 * 𝐸 𝑥 -𝐸 𝑥 * 𝐸 𝑦 )](𝑟).Here " * "denotes complex conjugation.Taking into account ( 16)-( 19) for the polarization-interference determination of the blood facies speckle field azimuth 𝛼(𝑥, 𝑦) and ellipticity 𝛽(𝑥, 𝑦) distributions, the following algorithm was used 𝛼(𝑥, 𝑦) = {0.5𝑎𝑟𝑐𝑡𝑎𝑛 [ ( 𝐸 𝑥 * 𝐸 𝑦 + 𝐸 𝑦 * 𝐸 𝑥 ) (𝐸 𝑥 * 𝐸 𝑥 -𝐸 𝑦 * 𝐸 𝑦 ) ⁄ ]}; (20) 𝛽(𝑥, 𝑦) = {0.5𝑎𝑟𝑐𝑠𝑖𝑛 [ 𝑖[𝐸 𝑦 * 𝐸 𝑥 -𝐸 𝑥 * 𝐸 𝑦 ] 𝐸 𝑥 * 𝐸 𝑥 + 𝐸 𝑦 * 𝐸 𝑦 ⁄ ]}.