Recursive exact ray-trace equations through tilted off-axis confocal prolate spheroids

1995 ◽  
Author(s):  
Marija Strojnik
Keyword(s):  
Prolate Spheroids ◽  
Ray Trace

Polarization Ray Trace

1989 ◽  
Vol 28 (2) ◽  
Author(s):  
Eugene Waluschka
Keyword(s):  
Ray Trace

On the Abramov approach for the approximation of whispering gallery modes in prolate spheroids

2020 ◽  
pp. 125599
Author(s):  
Pierluigi Amodio ◽  
Anton Arnold ◽  
Tatiana Levitina ◽  
Giuseppina Settanni ◽  
Ewa B. Weinmüller
Keyword(s):  
Whispering Gallery Modes ◽  
Whispering Gallery ◽  
Prolate Spheroids

scholarly journals On Using the BMCSL Equation of State to Renormalize the Onsager Theory Approach to Modeling Hard Prolate Spheroidal Liquid Crystal Mixtures

Entropy ◽  
2021 ◽  
Vol 23 (7) ◽  
pp. 846
Author(s):  
Donya Ohadi ◽  
David S. Corti ◽  
Mark J. Uline
Keyword(s):  
Equation Of State ◽  
Second Virial Coefficient ◽  
Virial Coefficients ◽  
Pure Component ◽  
Excluded Volume ◽  
Theory Approach ◽  
Prolate Spheroidal ◽  
Empirical Correction ◽  
Prolate Spheroids ◽  
Onsager Theory

Modifications to the traditional Onsager theory for modeling isotropic–nematic phase transitions in hard prolate spheroidal systems are presented. Pure component systems are used to identify the need to update the Lee–Parsons resummation term. The Lee–Parsons resummation term uses the Carnahan–Starling equation of state to approximate higher-order virial coefficients beyond the second virial coefficient employed in Onsager’s original theoretical approach. As more exact ways of calculating the excluded volume of two hard prolate spheroids of a given orientation are used, the division of the excluded volume by eight, which is an empirical correction used in the original Lee–Parsons resummation term, must be replaced by six to yield a better match between the theoretical and simulation results. These modifications are also extended to binary mixtures of hard prolate spheroids using the Boublík–Mansoori–Carnahan–Starling–Leland (BMCSL) equation of state.

Ray trace algorithm description for the study of pump power absorption in double clad fibers

2011 ◽  
Author(s):  
R. Narro ◽  
E. Rodriguez ◽  
L. Ponce ◽  
E. de Posada ◽  
T. Flores ◽  
...  
Keyword(s):  
Pump Power ◽  
Power Absorption ◽  
Ray Trace
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