Numerical experiment of the Shannon entropy in partially coherent imaging by Koehler illumination to show the relationship to degree of coherence

2011 ◽  
Vol 28 (3) ◽  
pp. 448 ◽  
Author(s):  
Kenji Yamazoe ◽  
Andrew R. Neureuther
2017 ◽  
Vol 30 (1) ◽  
pp. 143-167 ◽  
Author(s):  
Sophie Hoozée ◽  
Stephen C. Hansen

ABSTRACT The relationship between activity-based costing (ABC) and time-driven activity-based costing (TDABC) has not been systematically investigated. We compare the two systems analytically and via a numerical experiment. Our analytical comparison generates formulas that describe how each system maps resources to activities and finally to products. We demonstrate that ABC aggregates resource-to-activity information by resources (columns), while TDABC selects partitions of activity-by-resource information. Our numerical experiment shows that TDABC is more accurate than ABC when traceability of resources to activities is high and activity traceability to products is low, while ABC is more accurate when activities are more traceable to products, irrespective of the level of resource traceability to activities. Finally, we examine the impact of hybridizing an ABC (TDABC) system with TDABC (ABC). We find that adding one ABC element into a TDABC system usually improves accuracy. However, adding one TDABC element into an ABC system usually substantially degrades accuracy. Data Availability: The simulated datasets are available from the first author on request.


2006 ◽  
Vol 63 (3) ◽  
pp. 1069-1081 ◽  
Author(s):  
Masahito Oda ◽  
Mikio Nakanishi ◽  
Gen’ichi Naito

Abstract Radar echo images demonstrate that mature tropical cyclones frequently have a concentric eyewall structure, which consists of the inner eyewall, echo-free moat, and outer eyewall regions. Near the inner and outer eyewalls, well-defined wind maxima are generally observed. This indicates that two large vertical vorticity regions exist just inside radii of the two wind maxima near the inner and outer eyewalls. Therefore, the concentric eyewall structure can be considered to be a double vortex composed of the inner vortex and the outer vortex ring. In this study, the contour dynamics model is used on the f plane to analyze the characteristics of flows with either a symmetric double vortex or an asymmetric one, and examined the relationship between the movement of the inner vortex in an asymmetric double vortex and a trochoidal motion of a tropical cyclone with an asymmetric concentric eyewall structure. Results show that, depending on the degree of an interaction of a double vortex, the evolution of the inner vortex is classified into three patterns: the first is that the center of the inner vortex is stationary, which is seen only for the symmetric double vortex; the second is that the track of the center of the inner vortex draws a circle; and the third is that it draws a spiral. A numerical experiment based on an observed flow around Typhoon Herb was also performed. The time evolution of the double vortex is very similar to that of radar echo intensity of Typhoon Herb. Also the rotation period and amplitude of the inner vortex in the numerical experiment were comparable with those of the trochoidal motion in the observation. These suggest that, in tropical cyclones with the concentric eyewall structure, the interaction of an asymmetric double vortex can become a cause of trochoidal motion.


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