scholarly journals Visual Analysis of Cylindrically Polarized Light Beams’ Focal Characteristics by Path Integral

Open Physics ◽  
2019 ◽  
Vol 17 (1) ◽  
pp. 358-363
Author(s):  
Cheng-feng Yue ◽  
Yong-bo Wu ◽  
Zhi-lie Tang
Keyword(s):  
Path Integral ◽  
Visual Analysis ◽  
Polarization State ◽  
Polarized Light ◽  
Total Contribution ◽  
Polarized Beams ◽  
Analysis Process ◽  
Integral Curves ◽  
Path Integral Method ◽  
Light Beams

Abstract To analyze the focal characteristics of cylindrically polarized beams, a visual analysis method is proposed. As known, the focal field can be described by three mutually perpendicular components, each one is the total contribution of all parts of the incident beams. For each component of all contributing parts weapply path integral method, then from the path integral curves extract focal field properties immediately, such as polarization state or intensity distribution. The analysis process of PI is visual and more understandable, and has more powerful information extraction function, which is also helpful for the design of special filtering pupil.

Theoretical study on second hyperpolarizability of H3+ system by path integral method

1997 ◽  
Vol 85 (1-3) ◽  
pp. 1159-1160 ◽  
Author(s):  
H. Nagao ◽  
M. Nakano ◽  
S. Yamada ◽  
K. Ohta ◽  
K. Yamaguchi
Keyword(s):  
Path Integral ◽  
Integral Method ◽  
Theoretical Study ◽  
Second Hyperpolarizability ◽  
Path Integral Method

An analysis of quantum effects on the thermodynamic properties of cryogenic hydrogen using the path integral method

2014 ◽  
Vol 140 (13) ◽  
pp. 134506 ◽  
Author(s):  
H. Nagashima ◽  
S. Tsuda ◽  
N. Tsuboi ◽  
M. Koshi ◽  
K. A. Hayashi ◽  
...  
Keyword(s):  
Thermodynamic Properties ◽  
Path Integral ◽  
Integral Method ◽  
Quantum Effects ◽  
Path Integral Method

The quantum bouncer by the path integral method

1991 ◽  
Vol 59 (10) ◽  
pp. 924-930 ◽  
Author(s):  
D. A. Goodings ◽  
T. Szeredi
Keyword(s):  
Path Integral ◽  
Integral Method ◽  
Path Integral Method

PATH INTEGRAL METHOD FOR LIMITING DISTRIBUTION OF AN ESTIMATOR ARISING FROM AN AR(1)-PROCESS WITH A UNIT ROOT

2013 ◽  
Vol 16 (04) ◽  
pp. 1350029
Author(s):  
SHIH-FENG HUANG ◽  
YUH-JIA LEE ◽  
HSIN-HUNG SHIH
Keyword(s):  
Characteristic Function ◽  
Path Integral ◽  
Unit Root ◽  
Autoregressive Model ◽  
Integral Method ◽  
Unit Root Test ◽  
Random Variable ◽  
Limiting Distribution ◽  
First Order ◽  
Path Integral Method

We propose the path-integral technique to derive the characteristic function of the limiting distribution of the unit root test in a first order autoregressive model. Our results provide a new and useful approach to obtain the closed form of the characteristic function of a random variable associated with the limiting distribution, which is realized as a ratio of Brownian functionals on the classical Wiener space.

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