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.

scholarly journals A new method for interpolating linear features in aeromagnetic data

Geophysics ◽  
2019 ◽  
Vol 84 (3) ◽  
pp. JM15-JM24 ◽  
Author(s):  
Tomas Naprstek ◽  
Richard S. Smith
Keyword(s):  
Field Data ◽  
Interpolation Method ◽  
Source Code ◽  
Synthetic Data ◽  
Aeromagnetic Data ◽  
Derivative Expansion ◽  
Linear Features ◽  
Interpolation Methods ◽  
Minimum Curvature ◽  
Linear Nature

When aeromagnetic data are interpolated to make a gridded image, thin linear features can result in “boudinage” or “string of beads” artifacts if the anomalies are at acute angles to the traverse lines. These artifacts are due to the undersampling of these types of features across the flight lines, making it difficult for most interpolation methods to effectively maintain the linear nature of the features without user guidance. The magnetic responses of dikes and dike swarms are typical examples of the type of geologic feature that can cause these artifacts; thus, these features are often difficult to interpret. Many interpretation methods use various enhancements of the gridded data, such as horizontal or vertical derivatives, and these artifacts are often exacerbated by the processing. Therefore, interpolation methods that are free of these artifacts are necessary for advanced interpretation and analysis of thin, linear features. We have developed a new interpolation method that iteratively enhances linear trends across flight lines, ensuring that linear features are evident on the interpolated grid. Using a Taylor derivative expansion and structure tensors allows the method to continually analyze and interpolate data along anisotropic trends, while honoring the original flight line data. We applied this method to synthetic data and field data, which both show improvement over standard bidirectional gridding, minimum curvature, and kriging methods for interpolating thin, linear features at acute angles to the flight lines. These improved results are also apparent in the vertical derivative enhancement of field data. The source code for this method has been made publicly available.

Modeling the PV Power Systems Storage Batteries Charging Characteristics

2017 ◽  
Vol 0 (0) ◽  
Author(s):  
E. M. Diaconu
Keyword(s):  
Mathematical Model ◽  
Power Systems ◽  
Numerical Method ◽  
Interpolation Method ◽  
Source Code ◽  
Photovoltaic Panels ◽  
Data Acquisition Board ◽  
Code Algorithm ◽  
Storage Batteries ◽  
Theoretical Results

Abstract In this paper, a numerical method is presented for measuring and analyzing the characteristics of the charging process for nine photovoltaic panels storage batteries systems. The data was collected with the PV charger module which has a built-in data acquisition board. A source code algorithm written in Matlab is developed to obtain a mathematical model for the characteristics of the charging process of the batteries connected to the PV panels. Using the interpolation method, a mathematical model is obtained. The numerical error between experimental and theoretical results prove that the method is accurate.

IMPROVEMENT OF MEASUREMENT ACCURACY OF STRAIN OF THIN FILM BY CCD CAMERA WITH A TEMPLATE MATCHING METHOD USING THE 2ND-ORDER POLYNOMIAL INTERPOLATION

2010 ◽  
Vol 24 (15n16) ◽  
pp. 3101-3106 ◽  
Author(s):  
JUN-HYUB PARK ◽  
MYUNG-SOO SHIN ◽  
DONG-JOONG KANG ◽  
SUNG-JO LIM ◽  
JONG-EUN HA
Keyword(s):  
Thin Film ◽  
Tensile Test ◽  
Template Matching ◽  
Polynomial Interpolation ◽  
Interpolation Method ◽  
Ccd Camera ◽  
Tensile Tests ◽  
Displacement Sensor ◽  
Order Polynomial ◽  
Micrometer Size

In this study, a system for non-contact in-situ measurement of strain during tensile test of thin films by using CCD camera with marking surface of specimen by black pen was implemented as a sensing device. To improve accuracy of measurement when CCD camera is used, this paper proposed a new method for measuring strain during tensile test of specimen with micrometer size. The size of pixel of CCD camera determines resolution of measurement, but the size of pixel can not satisfy the resolution required in tensile test of thin film because the extension of the specimen is very small during the tensile test. To increase resolution of measurement, the suggested method performs an accurate subpixel matching by applying 2nd order polynomial interpolation method to the conventional template matching. The algorithm was developed to calculate location of subpixel providing the best matching value by performing single dimensional polynomial interpolation from the results of pixel-based matching at a local region of image. The measurement resolution was less than 0.01 times of original pixel size. To verify the reliability of the system, the tensile test for the BeNi thin film was performed, which is widely used as a material in micro-probe tip. Tensile tests were performed and strains were measured using the proposed method and also the capacitance type displacement sensor for comparison. It is demonstrated that the new strain measurement system can effectively describe a behavior of materials after yield during the tensile test of the specimen at microscale with easy setup and better accuracy.

scholarly journals Design and Implementation of a Graphic Simulator for Calculating the Inverse Kinematics of a Redundant Planar Manipulator Robot

2020 ◽  
Vol 10 (19) ◽  
pp. 6770
Author(s):  
Claudio Urrea ◽  
Daniel Saa
Keyword(s):  
Inverse Kinematics ◽  
Degrees Of Freedom ◽  
Interpolation Method ◽  
Probabilistic Method ◽  
Computational Simulations ◽  
Third Order ◽  
End Effector ◽  
Graphic Interface ◽  
Order Polynomial ◽  
Manipulator Robot

In this paper, a graphics simulator that allows for characterizing the kinematic and dynamic behavior of redundant planar manipulator robots is presented. This graphics simulator is implemented using the Solidworks software and the SimMechanics Toolbox of MATLAB/Simulink. To calculate the inverse kinematics of this type of robot, an algorithm based on the probabilistic method called Simulated Annealing is proposed. By means of this method, it is possible to obtain, among many possibilities, the best solution for inverse kinematics. Without losing generality, the performance of metaheuristic algorithm is tested in a 6-DoF (Degrees of Freedom) virtual robot. The Cartesian coordinates (x,y) of the end effector of the robot under study can be accessed through a graphic interface, thereby automatically calculating its inverse kinematics, and yielding the solution set with the position adopted by each joint for each coordinate entered. Dynamic equations are obtained from the Lagrange–Euler formulation. To generate the joint trajectories, an interpolation method with a third order polynomial is used. The effectiveness of the developed methodologies is verified through computational simulations of a virtual robot.

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.

Conservative Interpretation of Nonconservative Discrete Ordinates Radiative Intensity Distribution

2009 ◽  
Author(s):  
Kihwan Kim ◽  
Seok Hun Kang ◽  
Tae-Ho Song
Keyword(s):  
Intensity Distribution ◽  
Good Accuracy ◽  
Integration Method ◽  
Interpolation Method ◽  
Control Volume ◽  
Linear Interpolation ◽  
Discrete Ordinates ◽  
Radiative Intensity ◽  
Transport Analysis ◽  
Grid Points

The discrete ordinates interpolation method (DOIM) and the finite element discrete ordinates method (FEDOM) show good accuracy and versatility for calculation of radiative intensity. However, these methods are nonconservative since the intensity is computed only at grid points without considering control volume. When these methods are to be used together with a finite volume-based code for fluid flow and transport analysis, intensity at the center of control volume or surface, whichever is missing, needs to be calculated, and the control volume photon balance should be evaluated. For this reason, the method of satisfying control volume photon balance, without sacrificing the accuracy, is critically discussed first. Based on this rationale, the supplementary DOIM (SDOIM) is proposed to calculate the missing intensity. In addition, the integration method of RTE (IMRTE), used in DOM or FVM to satisfy the control volume photon balance, and linear interpolation method (LIM) are also examined to compare with the SDOIM. The accuracy, physical reliability and smoothness of the intensity obtained by using the three methods are carefully analyzed. Application of the SDOIM shows reliable results which are accurate and free from physically unrealistic intensity distribution.

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