Applicability of the single equivalent point dipole model to represent a spatially distributed bio-electrical source

2001 ◽  
Vol 39 (5) ◽  
pp. 562-570 ◽  
Author(s):  
A. A. Armoundas ◽  
A. B. Feldman ◽  
D. A. Sherman ◽  
R. J. Cohen
Keyword(s):  
Dipole Model ◽  
Point Dipole ◽  
Equivalent Point ◽  
Spatially Distributed ◽  
Electrical Source

Relationship between structure and optical properties of lithium triborate

2007 ◽  
Vol 40 (5) ◽  
pp. 919-923
Author(s):  
J. Etxebarria ◽  
J. Ortega ◽  
C. L. Folcia
Keyword(s):  
Optical Properties ◽  
Second Harmonic ◽  
Optical Rotation ◽  
Slight Modification ◽  
High Accuracy ◽  
Dipole Model ◽  
Crystallographic Structure ◽  
Point Dipole ◽  
Lithium Triborate ◽  
Order Susceptibility

Measurements of the optical rotation of LiB3O5have been carried out using a high-accuracy universal polarimeter in the temperature range 298–503 K. The results have been analyzed within the framework of a point-dipole model for the optical rotation. Though the magnitude of the rotation is very small, its sign has been clearly determined and linked to the crystallographic structure. A slight modification of the point-dipole model also permits an explanation of the values of the second-order susceptibility coefficients for second-harmonic generation.

Hyperpolarizabilities of extended molecular mechanical systems

2016 ◽  
Vol 18 (12) ◽  
pp. 8710-8722 ◽  
Author(s):  
Ignat Harczuk ◽  
Olav Vahtras ◽  
Hans Ågren
Keyword(s):  
Dipole Moments ◽  
Mechanical Systems ◽  
Second Order ◽  
Dipole Model ◽  
Point Dipole ◽  
Induced Dipole

The equations for decomposition of the molecular hyperpolarizabilty into atomic sites is derived alongside with equations to calculate the cluster hyperpolarizability as resulting from the second order induced dipole moments in the point-dipole model.

An application of the point-dipole model to the problem of optical anomalies in grandite garnets

2002 ◽  
Vol 66 (2) ◽  
pp. 275-286 ◽  
Author(s):  
A. G. Shtukenberg ◽  
D. Yu. Popov ◽  
Yu. O. Punin
Keyword(s):  
Crystal Structure ◽  
Site Occupancy ◽  
Dipole Model ◽  
Point Dipole ◽  
Optical Indicatrix ◽  
Good Agreement

AbstractThe origin of anomalous birefringence in grossular-andradite (grandite) garnets is considered. Using the point-dipole model we have calculated the anomalous optical indicatrix for four crystals (three from the paper by Takéuchi et al. (1982) and one studied previously by the present authors). The calculated indicatrix is in good agreement with the observed one. This suggests that the origin of anomalous birefringence in grandite garnets is due to Al/Fe ordering. Interrelations between the observed optical indicatrix, the structure of the growing face, the site occupancy in the crystal structure and the calculated optical indicatrix suggest a growth origin of Fe/Al ordering in grandite garnets and confirm the growth dissymmetrization hypothesis.

scholarly journals Scalar magnetic difference inversion applied to UAV-based UXO detection

2020 ◽  
Vol 224 (1) ◽  
pp. 468-486
Author(s):  
Mick Emil Kolster ◽  
Arne Døssing
Keyword(s):  
General Setting ◽  
Dipole Model ◽  
Test Facility ◽  
Magnetic Data ◽  
Model Parameters ◽  
Point Dipole ◽  
Data Set ◽  
Sensor Position ◽  
Dual Sensor ◽  
Along Track

SUMMARY During scalar magnetic surveys, where the amplitude of the magnetic field is measured, small changes in towed sensor positions can produce complex noise-resembling signals in the data. For well-constructed measurement systems, these signals often contain valuable information, rather than noise, but it can difficult to realize their potential. We present a simple, general approach, which can be used to directly invert data from scalar magnetic surveys, regardless of dynamic or unexpected sensor position variations. The approach generalizes classic along-track gradients to an iterative, or recursive, difference, that can be applied irrespective of the amount of magnetic sensors and their positions within a dynamic measurement system, as long as these are known. The computed difference can be inverted directly, providing a versatile method with very little data pre-processing requirements, which we denote as recursive difference inversion. We explain the approach in a general setting, and expand it to provide a complete framework for Unexploded Ordnance (UXO) detection using a point-dipole model. Being an extension of classic along-track gradients, the method retains many of the same properties, which include added robustness to external time-dependent disturbances, and the ability to produce aesthetic visual data representations. In addition, the framework requires neither tie lines, data levelling, nor diurnal corrections. Only light pre-processing actions, namely initial survey trimming and data position calculation, are required. The method is demonstrated on data from a dual sensor system, conventionally referred to as a vertical gradiometer, which is towed from an Unmanned Aerial Vehicle. The system enables collection of high-quality magnetic data in adverse settings, and simultaneously reduces the risk of inadvertent UXO detonations. To enable qualitative testing, we established a UXO detection test facility with several buried UXO, typical to World War II, in a magnetically complex in-land area. Data from the test facility was mainly used to evaluate inversion robustness and depth accuracy of the point-dipole model. Subsequently, we apply the method to real UXO survey data collected for the Hornsea II offshore wind farm project in the United Kingdom. This data set was collected in a coastal setting, and subject to significant sensor position changes during flight due to varying wind conditions over multiple survey days. This makes the raw data set challenging to interpret directly, but it can still be easily and reliably inverted for source locations through recursive difference inversion. In each of the two data sets, we attempt to recover UXO positions using recursive difference inversion on data from both a single sensor, as well as on data from two synchronized sensors, in each case inverting the difference directly for point-dipole model parameters. To seed the inversion, we propose a simple routine for picking out potential targets, based on the choice of a significant peak prominence in the time-series of computed differences. Higher order difference inversion was found to provide robust results in the magnetically complex setting, and the recovered equivalent dipole depths were found to approximate the actual UXO depths well.

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