Pub Date : 2017-11-01DOI: 10.1109/PIERS-FALL.2017.8293588
Jian Zhang, C. Yang, M. Tong
A time domain augmented electric field integral equation (TDAEFIE) solution is proposed for transient electromagnetic analysis for conducting bodies of arbitrary shape. Compared with TDEFIE, the TDAEFIE is very effective in eliminating low frequency instabilities. Unlike conventional method, Nystrom method is adopted instead of method of moments (MoM) which usually requires conforming meshes with a well-designed basis function. While, the Nyström method does not require any basis or testing functions, and can be used to deal with nonconforming meshes. In the time domain, in order to avoid the late-time instability problem of marching-on-in-time (MOT) approach, Laguerre basis and testing functions are used to form a marching-on-in-degree manner. Derivation of formulas will be presented and numerical examples will be included in our future work.
{"title":"Time-domain A-EFIE solution based on Nystrom scheme with MOD approach","authors":"Jian Zhang, C. Yang, M. Tong","doi":"10.1109/PIERS-FALL.2017.8293588","DOIUrl":"https://doi.org/10.1109/PIERS-FALL.2017.8293588","url":null,"abstract":"A time domain augmented electric field integral equation (TDAEFIE) solution is proposed for transient electromagnetic analysis for conducting bodies of arbitrary shape. Compared with TDEFIE, the TDAEFIE is very effective in eliminating low frequency instabilities. Unlike conventional method, Nystrom method is adopted instead of method of moments (MoM) which usually requires conforming meshes with a well-designed basis function. While, the Nyström method does not require any basis or testing functions, and can be used to deal with nonconforming meshes. In the time domain, in order to avoid the late-time instability problem of marching-on-in-time (MOT) approach, Laguerre basis and testing functions are used to form a marching-on-in-degree manner. Derivation of formulas will be presented and numerical examples will be included in our future work.","PeriodicalId":39469,"journal":{"name":"Advances in Engineering Education","volume":"28 1","pages":"2663-2666"},"PeriodicalIF":0.0,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82157059","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-11-01DOI: 10.1109/PIERS-FALL.2017.8293145
T. Lonský, P. Hazdra, J. Kracek
The Method of Moment, used for computation of the impedance matrix of the dipole array, is substituted here by faster method using simple approximation by the sinusoidal current. This method is verified by the theory of characteristic modes that provide a set of eigenvectors and eigenvalues, which are determined entirely by a structure's geometry at a certain frequency. When computing over a range of frequencies, the methods for eigenvalue tracking are essential. Proposed eigenvalue perturbation method is a powerful tool in this phenomena.
{"title":"Design of closely spaced dipole array based on characteristic modes","authors":"T. Lonský, P. Hazdra, J. Kracek","doi":"10.1109/PIERS-FALL.2017.8293145","DOIUrl":"https://doi.org/10.1109/PIERS-FALL.2017.8293145","url":null,"abstract":"The Method of Moment, used for computation of the impedance matrix of the dipole array, is substituted here by faster method using simple approximation by the sinusoidal current. This method is verified by the theory of characteristic modes that provide a set of eigenvectors and eigenvalues, which are determined entirely by a structure's geometry at a certain frequency. When computing over a range of frequencies, the methods for eigenvalue tracking are essential. Proposed eigenvalue perturbation method is a powerful tool in this phenomena.","PeriodicalId":39469,"journal":{"name":"Advances in Engineering Education","volume":"29 1","pages":"258-261"},"PeriodicalIF":0.0,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79476499","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-11-01DOI: 10.1109/PIERS-FALL.2017.8293648
A. E. Ampoma, G. Wen, Haobin Zhang, Yongjun Huang, Oteng K. Gyasi, P. I. Tebe
In this paper, we derive a closed-form expression for three-dimensional (3D) spatial fading correlation (SFC) of a uniform circular array (UCA) useful for evaluating geometry-based stochastic channel models (GBSMs). The fundamental idea of the proposed model is that the total power of the incident wave is relative to the true distribution of power and dependent on the azimuthal spread (AS) and elevation spread (ES). This generalized closed-form expression permits the presentation of ES at all levels which renders the expression helpful for examining the degree of flexibility offered by ES in 3D multi-input and multi-output (MIMO) channel modeling. To minimize the effect of mutual coupling on MIMO performance using the SFC expression, the geometry-based channel is evaluated before and after decoupling process at the mobile station (MS). Finally, the present investigations demonstrate the joint contribution of AS and ES on 3D MIMO performance under Gaussian and Student's t-distributions.
{"title":"3D correlation function of a uniform circular array using maximum power in the direction of arrival","authors":"A. E. Ampoma, G. Wen, Haobin Zhang, Yongjun Huang, Oteng K. Gyasi, P. I. Tebe","doi":"10.1109/PIERS-FALL.2017.8293648","DOIUrl":"https://doi.org/10.1109/PIERS-FALL.2017.8293648","url":null,"abstract":"In this paper, we derive a closed-form expression for three-dimensional (3D) spatial fading correlation (SFC) of a uniform circular array (UCA) useful for evaluating geometry-based stochastic channel models (GBSMs). The fundamental idea of the proposed model is that the total power of the incident wave is relative to the true distribution of power and dependent on the azimuthal spread (AS) and elevation spread (ES). This generalized closed-form expression permits the presentation of ES at all levels which renders the expression helpful for examining the degree of flexibility offered by ES in 3D multi-input and multi-output (MIMO) channel modeling. To minimize the effect of mutual coupling on MIMO performance using the SFC expression, the geometry-based channel is evaluated before and after decoupling process at the mobile station (MS). Finally, the present investigations demonstrate the joint contribution of AS and ES on 3D MIMO performance under Gaussian and Student's t-distributions.","PeriodicalId":39469,"journal":{"name":"Advances in Engineering Education","volume":"72 1","pages":"2996-3003"},"PeriodicalIF":0.0,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84160236","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-11-01DOI: 10.1109/PIERS-FALL.2017.8293183
N. Venkatarayalu, C. Yuan
The Nicolson-Ross-Weir (NRW) method is a classic technique for the measurement of complex permittivity and permeability of materials at RF and microwave frequencies. The method is based on the measurement of transmission and reflection coefficients of the material under test and subsequently, extracting the material parameters through a non-linear inversion process. The NRW method has a limitation on the thickness of the sample to be less than λ/2. The Stepwise NRW method that relies on seeking the correct branch in the inversion process, overcomes the limitation on the thickness on the sample. Both the methods rely on the reflection and transmission coefficients, which is obtained from two-port S-parameters measurements, by inserting the material under test inside a transmission line. In this work, a coaxial airline is used for the transmission line measurement. The de-embedding of the S-parameters, to obtain the reflection and transmission coefficients, requires the position/location of the sample inside the coaxial airline. This can potentially introduce errors due to position uncertainties. We propose a technique to estimate the position of the material under test inside the coaxial airline that eliminates inaccuracies due to positioning errors in the extraction process. The proposed technique relies on the symmetry of S-parameters to estimate the errors in the position of the material placed inside the coaxial airline. Subsequent de-embedding of S-parameters is performed taking into account the estimated error in the position of the material under test. Measurements and investigations are performed using both the NRW and stepwise NRW techniques illustrating the improvement in the accuracy of the measured material parameters.
{"title":"Eliminating errors due to position uncertainty in coaxial airline based measurement of material parameters","authors":"N. Venkatarayalu, C. Yuan","doi":"10.1109/PIERS-FALL.2017.8293183","DOIUrl":"https://doi.org/10.1109/PIERS-FALL.2017.8293183","url":null,"abstract":"The Nicolson-Ross-Weir (NRW) method is a classic technique for the measurement of complex permittivity and permeability of materials at RF and microwave frequencies. The method is based on the measurement of transmission and reflection coefficients of the material under test and subsequently, extracting the material parameters through a non-linear inversion process. The NRW method has a limitation on the thickness of the sample to be less than λ/2. The Stepwise NRW method that relies on seeking the correct branch in the inversion process, overcomes the limitation on the thickness on the sample. Both the methods rely on the reflection and transmission coefficients, which is obtained from two-port S-parameters measurements, by inserting the material under test inside a transmission line. In this work, a coaxial airline is used for the transmission line measurement. The de-embedding of the S-parameters, to obtain the reflection and transmission coefficients, requires the position/location of the sample inside the coaxial airline. This can potentially introduce errors due to position uncertainties. We propose a technique to estimate the position of the material under test inside the coaxial airline that eliminates inaccuracies due to positioning errors in the extraction process. The proposed technique relies on the symmetry of S-parameters to estimate the errors in the position of the material placed inside the coaxial airline. Subsequent de-embedding of S-parameters is performed taking into account the estimated error in the position of the material under test. Measurements and investigations are performed using both the NRW and stepwise NRW techniques illustrating the improvement in the accuracy of the measured material parameters.","PeriodicalId":39469,"journal":{"name":"Advances in Engineering Education","volume":"30 1","pages":"464-467"},"PeriodicalIF":0.0,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85104349","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-11-01DOI: 10.1109/PIERS-FALL.2017.8293338
Zuming Li, Yufa Sun, Ming Yang, Peiquan Tang, Zhifeng Wu
A compact ±45° dual-polarized magneto-electric (ME) dipole base station antenna is proposed for 2G/3G/LTE applications. The antenna is excited by two Γ-shaped probes placed at a convenient location and two orthogonally octagonal loop electric dipoles are employed to achieve a wide impedance bandwidth. A stable antenna gain and a stable radiation pattern are realized by using a rectangular box-shaped reflector instead of planar one. The antenna is prototype and measured. Measured results show overlapped impedance bandwidth is 58% with standing-wave ratio (SWR) ≤ 1.5 from 1.68 to 3.05 GHz, port-to-port isolation is large than 26 dB within the bandwidth, and stable antenna gains of 8.6 ± 0.8 dBi and 8.3 ± 0.6 dBi for port 1 and port 2, respectively. Nearly symmetrical radiation patterns with low back lobe radiation both in horizontal and vertical planes, and narrow beamwidth can be also obtained. Moreover, the size of the antenna is very compact, which is only 0.79λ0 × 0.79λ0 × 0.26λ0. The proposed antenna can be used for multiband base stations in next generation communication systems.
{"title":"A compact dual-polarized magneto-electric dipole antenna for 2G/3G/LTE applications","authors":"Zuming Li, Yufa Sun, Ming Yang, Peiquan Tang, Zhifeng Wu","doi":"10.1109/PIERS-FALL.2017.8293338","DOIUrl":"https://doi.org/10.1109/PIERS-FALL.2017.8293338","url":null,"abstract":"A compact ±45° dual-polarized magneto-electric (ME) dipole base station antenna is proposed for 2G/3G/LTE applications. The antenna is excited by two Γ-shaped probes placed at a convenient location and two orthogonally octagonal loop electric dipoles are employed to achieve a wide impedance bandwidth. A stable antenna gain and a stable radiation pattern are realized by using a rectangular box-shaped reflector instead of planar one. The antenna is prototype and measured. Measured results show overlapped impedance bandwidth is 58% with standing-wave ratio (SWR) ≤ 1.5 from 1.68 to 3.05 GHz, port-to-port isolation is large than 26 dB within the bandwidth, and stable antenna gains of 8.6 ± 0.8 dBi and 8.3 ± 0.6 dBi for port 1 and port 2, respectively. Nearly symmetrical radiation patterns with low back lobe radiation both in horizontal and vertical planes, and narrow beamwidth can be also obtained. Moreover, the size of the antenna is very compact, which is only 0.79λ0 × 0.79λ0 × 0.26λ0. The proposed antenna can be used for multiband base stations in next generation communication systems.","PeriodicalId":39469,"journal":{"name":"Advances in Engineering Education","volume":"28 1","pages":"1338-1344"},"PeriodicalIF":0.0,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83797179","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-11-01DOI: 10.1109/PIERS-FALL.2017.8293477
D. Mishra, T. Panigrahi, P. K. Ray, A. Mohanty
This paper introduces the study of Load Frequency Control (LFC) in multi area power system network with Tilt-Integral with Derivative Filter (TIDF) controller. The main aim of LFC is to reduce the steady state error to zero in each area. In this proposed system three equal area interconnected power system is simulated and analyzed with three different controllers such as: PI, PID and TIDF controller. A maiden attempt has been done using TIDF controller in order to improve the system response and oscillation. The result shows the performance of AGC using reheat-turbine and Generation rate Constraints (GRC). The LFC model is designed using MATLAB/SIMULINK environment.
{"title":"Application of tilt integral derivative filter for load frequency control of three area interconnecetd system","authors":"D. Mishra, T. Panigrahi, P. K. Ray, A. Mohanty","doi":"10.1109/PIERS-FALL.2017.8293477","DOIUrl":"https://doi.org/10.1109/PIERS-FALL.2017.8293477","url":null,"abstract":"This paper introduces the study of Load Frequency Control (LFC) in multi area power system network with Tilt-Integral with Derivative Filter (TIDF) controller. The main aim of LFC is to reduce the steady state error to zero in each area. In this proposed system three equal area interconnected power system is simulated and analyzed with three different controllers such as: PI, PID and TIDF controller. A maiden attempt has been done using TIDF controller in order to improve the system response and oscillation. The result shows the performance of AGC using reheat-turbine and Generation rate Constraints (GRC). The LFC model is designed using MATLAB/SIMULINK environment.","PeriodicalId":39469,"journal":{"name":"Advances in Engineering Education","volume":"129 1","pages":"2059-2066"},"PeriodicalIF":0.0,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80247039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-11-01DOI: 10.1109/PIERS-FALL.2017.8293557
V. Kotlyar, S. Stafeev, A. Nalimov, M. Kotlyar, L. O’Faolain, E. Kozlova
Using near-field scanning microscopy, we demonstrate that a 15-μm zone plate fabricated in a 70-nm chromium film sputtered on a glass substrate and having a focal length and outermost zone's width equal to the incident wavelength λ = 532 nm, focuses a circularly polarized Gaussian beam into a circular subwavelength focal spot whose diameter at the full-width of half-maximum intensity is FWHM = 0.47λ. This value is in near-accurate agreement with the FDTD-aided numerical estimate of FWHM = 0.46λ.
{"title":"Tight focusing of circularly polarized laser light by amplitude zone plate with chromium rings","authors":"V. Kotlyar, S. Stafeev, A. Nalimov, M. Kotlyar, L. O’Faolain, E. Kozlova","doi":"10.1109/PIERS-FALL.2017.8293557","DOIUrl":"https://doi.org/10.1109/PIERS-FALL.2017.8293557","url":null,"abstract":"Using near-field scanning microscopy, we demonstrate that a 15-μm zone plate fabricated in a 70-nm chromium film sputtered on a glass substrate and having a focal length and outermost zone's width equal to the incident wavelength λ = 532 nm, focuses a circularly polarized Gaussian beam into a circular subwavelength focal spot whose diameter at the full-width of half-maximum intensity is FWHM = 0.47λ. This value is in near-accurate agreement with the FDTD-aided numerical estimate of FWHM = 0.46λ.","PeriodicalId":39469,"journal":{"name":"Advances in Engineering Education","volume":"102 1","pages":"2501-2505"},"PeriodicalIF":0.0,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80801543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-11-01DOI: 10.1109/PIERS-FALL.2017.8293508
H. Benisty, A. Lupu, V. Konotop
We investigate the use of gain and loss added to various structures in a Parity-Time (PT) symmetric fashion: firstly, in an otherwise canonical co-directional coupler, we attempt to optimize the total amount of loss needed for a switching operation by using a local modulation of gain. Secondly, we interrogate the possible statistical consequence of using multiplicative process in series. Fluctuations of gain and loss in series gives rise to Geometric Brownian Motions (GBM), that may exhibit non-ergodic behavior in some limits. We explore generically the possible application to arrays of transducers where by transduction would stem from a modulation of gain or loss.
{"title":"New avenues for light-matter interaction: Parity-time symmetry and non-ergodic behaviour of gain-loss transducer arrays","authors":"H. Benisty, A. Lupu, V. Konotop","doi":"10.1109/PIERS-FALL.2017.8293508","DOIUrl":"https://doi.org/10.1109/PIERS-FALL.2017.8293508","url":null,"abstract":"We investigate the use of gain and loss added to various structures in a Parity-Time (PT) symmetric fashion: firstly, in an otherwise canonical co-directional coupler, we attempt to optimize the total amount of loss needed for a switching operation by using a local modulation of gain. Secondly, we interrogate the possible statistical consequence of using multiplicative process in series. Fluctuations of gain and loss in series gives rise to Geometric Brownian Motions (GBM), that may exhibit non-ergodic behavior in some limits. We explore generically the possible application to arrays of transducers where by transduction would stem from a modulation of gain or loss.","PeriodicalId":39469,"journal":{"name":"Advances in Engineering Education","volume":"27 1","pages":"2216-2223"},"PeriodicalIF":0.0,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81333768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-11-01DOI: 10.1109/PIERS-FALL.2017.8293595
Tie-jun Huang, H. Tang, Jiang-Yu Liu, Pu‐Kun Liu
We theoretical and simulated demonstrate frequency scanning can be an effective approach to realize terahertz far-field subwavelength imaging. The imaging device composed of metallic gratings and coupler has the ability of coupling evanescent wave and transforming them to corresponding propagating waves so that the subwavelength details will be conserved in the imaging process. By carrying out frequency scanning simulation and a simple data processing from 0.1 THz to 0.24 THz, the operating spatial spectrum is dramatically extended to 5k0 (k is the wavenumber of 0.24 THz) in the far-field, which is well verified our method. Better spatial spectrum range can be expected by decreasing period of grating and increasing scanning frequency points. We are confident this method will find useful applications in terahertz imaging area.
{"title":"Terahertz far-field subwavelength imaging by frequency scanning","authors":"Tie-jun Huang, H. Tang, Jiang-Yu Liu, Pu‐Kun Liu","doi":"10.1109/PIERS-FALL.2017.8293595","DOIUrl":"https://doi.org/10.1109/PIERS-FALL.2017.8293595","url":null,"abstract":"We theoretical and simulated demonstrate frequency scanning can be an effective approach to realize terahertz far-field subwavelength imaging. The imaging device composed of metallic gratings and coupler has the ability of coupling evanescent wave and transforming them to corresponding propagating waves so that the subwavelength details will be conserved in the imaging process. By carrying out frequency scanning simulation and a simple data processing from 0.1 THz to 0.24 THz, the operating spatial spectrum is dramatically extended to 5k0 (k is the wavenumber of 0.24 THz) in the far-field, which is well verified our method. Better spatial spectrum range can be expected by decreasing period of grating and increasing scanning frequency points. We are confident this method will find useful applications in terahertz imaging area.","PeriodicalId":39469,"journal":{"name":"Advances in Engineering Education","volume":"16 1","pages":"2700-2702"},"PeriodicalIF":0.0,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81597978","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-11-01DOI: 10.1109/PIERS-FALL.2017.8293347
J. Conway
An exact solution method has been developed recently which gives the mutual inductance of two thin cylindrical coils in terms of line integrals of a new kind of vector potential, induced by the primary coil, around the two circular edges of the secondary coil. This paper describes the extension of this method to thick coils, by wrapping two radial integrations around these line integrals. Results are presented for two pairs of conventional coils and a combination of a superconducting coil and a Bitter coil. Excellent agreement with existing results for non coaxial coils was obtained. The trade-off between accuracy and computing time is also examined.
{"title":"Mutual inductance of thick coils for arbitrary relative orientation and position","authors":"J. Conway","doi":"10.1109/PIERS-FALL.2017.8293347","DOIUrl":"https://doi.org/10.1109/PIERS-FALL.2017.8293347","url":null,"abstract":"An exact solution method has been developed recently which gives the mutual inductance of two thin cylindrical coils in terms of line integrals of a new kind of vector potential, induced by the primary coil, around the two circular edges of the secondary coil. This paper describes the extension of this method to thick coils, by wrapping two radial integrations around these line integrals. Results are presented for two pairs of conventional coils and a combination of a superconducting coil and a Bitter coil. Excellent agreement with existing results for non coaxial coils was obtained. The trade-off between accuracy and computing time is also examined.","PeriodicalId":39469,"journal":{"name":"Advances in Engineering Education","volume":"5 1","pages":"1388-1395"},"PeriodicalIF":0.0,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90759700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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