scholarly journals Diffusion in inhomogeneous media with periodic microstructures

Author(s):  
Micol Amar ◽  
Daniele Andreucci ◽  
Emilio N.M. Cirillo
Author(s):  
W.S. Putnam ◽  
C. Viney

Many sheared liquid crystalline materials (fibers, films and moldings) exhibit a fine banded microstructure when observed in the polarized light microscope. In some cases, for example Kevlar® fiber, the periodicity is close to the resolution limit of even the highest numerical aperture objectives. The periodic microstructure reflects a non-uniform alignment of the constituent molecules, and consequently is an indication that the mechanical properties will be less than optimal. Thus it is necessary to obtain quality micrographs for characterization, which in turn requires that fine detail should contribute significantly to image formation.It is textbook knowledge that the resolution achievable with a given microscope objective (numerical aperture NA) and a given wavelength of light (λ) increases as the angle of incidence of light at the specimen surface is increased. Stated in terms of the Abbe resolution criterion, resolution improves from λ/NA to λ/2NA with increasing departure from normal incidence.


2021 ◽  
Vol 1849 (1) ◽  
pp. 012013
Author(s):  
Tapas Ranjan Panigrahi ◽  
Sumit Kumar Vishwakarma ◽  
Dinesh Kumar Majhi

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