scholarly journals A Study of Contour Integration Method of Illuminance Calculation

1996 ◽  
Vol 80 (5) ◽  
pp. 364-367
Author(s):  
Takashi Higo ◽  
Yukitaka Sinoda
Keyword(s):  
Integration Method ◽  
Contour Integration

ELECTROMAGNETIC MODES AND ZERO-POINT ENERGY IN A DIELECTRIC ANNULAR REGION

1995 ◽  
Vol 10 (36) ◽  
pp. 2793-2800 ◽  
Author(s):  
I. BREVIK
Keyword(s):  
Electromagnetic Field ◽  
Integration Method ◽  
Zero Point ◽  
Contour Integration ◽  
Annular Region ◽  
Zero Point Energy ◽  
Point Energy ◽  
Mode Spectrum ◽  
Permittivity And Permeability

The fundamental electric and magnetic modes are determined for an electromagnetic field contained in a spherical annular region a<r<b, filled with a medium of constant permittivity and permeability. The surfaces r=a and r=b are perfectly conducting. Knowledge about the mode spectrum enables one to calculate the zero-point energy in a very simple way, by means of a contour integration method.

Trace for Differential Pencils on a Star-Type Graph

2013 ◽  
Vol 68 (6-7) ◽  
pp. 421-426
Author(s):  
Chuan-Fu Yang
Keyword(s):  
Spectral Problem ◽  
Trace Formula ◽  
Complex Analysis ◽  
Integration Method ◽  
Internal Vertex ◽  
Contour Integration ◽  
Type Condition ◽  
Regularized Trace ◽  
Kirchhoff Type ◽  
Differential Pencils

In this work, we consider the spectral problem for differential pencils on a star-type graph with a Kirchhoff-type condition in the internal vertex. The regularized trace formula of this operator is established with the contour integration method in complex analysis.

scholarly journals Light Curve Calculations for Triple Microlensing Systems

2021 ◽  
Author(s):  
Renkun Kuang ◽  
Shude Mao ◽  
Tianshu Wang ◽  
Weicheng Zang ◽  
Richard J Long
Keyword(s):  
Adaptive Sampling ◽  
Integration Method ◽  
Interpolation Method ◽  
Source Code ◽  
Contour Integration ◽  
Light Curves ◽  
Continuous Image ◽  
Boundary Contour ◽  
Lens System ◽  
Order Polynomial

Abstract We present a method to compute the magnification of a finite source star lensed by a triple lens system based on the image boundary (contour integration) method. We describe a new procedure to obtain continuous image boundaries from solutions of the tenth-order polynomial obtained from the lens equation. Contour integration is then applied to calculate the image areas within the image boundaries, which yields the magnification of a source with uniform brightness. We extend the magnification calculation to limb-darkened stars approximated with a linear profile. In principle, this method works for all multiple lens systems, not just triple lenses. We also include an adaptive sampling and interpolation method for calculating densely covered light curves. The C++ source code and a corresponding Python interface are publicly available.

Note on a logarithmic integral for the plasma energy of the electron gas

1995 ◽  
Vol 73 (1-2) ◽  
pp. 106-108 ◽  
Author(s):  
M. Howard Lee
Keyword(s):  
Ground State ◽  
Integration Method ◽  
Correlation Energy ◽  
Electron Gas ◽  
Contour Integration ◽  
Alternative Solution ◽  
Plasma Oscillations ◽  
Plasma Energy ◽  
Logarithmic Integral

The correlation energy of the electron gas in the ground state for small values of rs has a major contribution from the plasma oscillations. The plasma energy is known to be reducible to a logarithmic integral. This integral has been evaluated by a contour integration method. An alternative solution, perhaps much simpler, is presented here that utilizes the dilogarithm.

A CONTOUR INTEGRATION METHOD FOR SOLVING THE FADDEEV EQUATION

1982 ◽  
Vol 2 (3) ◽  
pp. 297-308
Author(s):  
Rentai Cai ◽  
Lianyuan Chu ◽  
Nengxiong Dai
Keyword(s):  
Faddeev Equation ◽  
Integration Method ◽  
Contour Integration
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