The paper presents the results of fatigue crack growth simulation of the transition joint for S235JR steel and A5083 aluminum with the Grade 1 titanium interlayer coat and A1050 aluminum. Calculations were performed using ANSYS software. The publication presents the crack growth phenomena observed during fatigue testing. Additionally, calculations of residual stresses distributions induced by the process of joining materials during welding were carried out. Results of crack length calculations were comparable with experimantal data.The paper presents the results of fatigue crack growth simulation of the transition joint for S235JR steel and A5083 aluminum with the Grade 1 titanium interlayer coat and A1050 aluminum. Calculations were performed using ANSYS software. The publication presents the crack growth phenomena observed during fatigue testing. Additionally, calculations of residual stresses distributions induced by the process of joining materials during welding were carried out. Results of crack length calculations were comparable with experimantal data.
{"title":"Numerical simulation of fatigue crack growth in steel-aluminium transition joint","authors":"M. Kowalski, D. Rozumek","doi":"10.1063/1.5138099","DOIUrl":"https://doi.org/10.1063/1.5138099","url":null,"abstract":"The paper presents the results of fatigue crack growth simulation of the transition joint for S235JR steel and A5083 aluminum with the Grade 1 titanium interlayer coat and A1050 aluminum. Calculations were performed using ANSYS software. The publication presents the crack growth phenomena observed during fatigue testing. Additionally, calculations of residual stresses distributions induced by the process of joining materials during welding were carried out. Results of crack length calculations were comparable with experimantal data.The paper presents the results of fatigue crack growth simulation of the transition joint for S235JR steel and A5083 aluminum with the Grade 1 titanium interlayer coat and A1050 aluminum. Calculations were performed using ANSYS software. The publication presents the crack growth phenomena observed during fatigue testing. Additionally, calculations of residual stresses distributions induced by the process of joining materials during welding were carried out. Results of crack length calculations were comparable with experimantal data.","PeriodicalId":20565,"journal":{"name":"PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2019 (ICCMSE-2019)","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88160777","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}
We introduce a novel machine learning ensemble architecture for anomaly detection, that exploits global and local information from a 1d time series. A double step validation is performed to decide if a time period is anomalous: from one side a Long Short-Term Memory is trained to be reliable at forecasting, hence a parametric test on the forecasting’s error is used spot the anomalies. Concurrently, a Variational Autoencoder is trained to compress both global and local information from the series to a low-dimensional normal distribution, raising an anomaly if a time step’s likelihood is below a threshold. While anomaly detection with deep learning techniques often comes with the assumption that forecasting error is gaussian, we prove that this is in general a wrong assumption: we show that error function is better approximated by a distribution chosen dynamically. We validate our work on some public physical datasets, outperforming the current deep learning methods in terms of precision and recall.We introduce a novel machine learning ensemble architecture for anomaly detection, that exploits global and local information from a 1d time series. A double step validation is performed to decide if a time period is anomalous: from one side a Long Short-Term Memory is trained to be reliable at forecasting, hence a parametric test on the forecasting’s error is used spot the anomalies. Concurrently, a Variational Autoencoder is trained to compress both global and local information from the series to a low-dimensional normal distribution, raising an anomaly if a time step’s likelihood is below a threshold. While anomaly detection with deep learning techniques often comes with the assumption that forecasting error is gaussian, we prove that this is in general a wrong assumption: we show that error function is better approximated by a distribution chosen dynamically. We validate our work on some public physical datasets, outperforming the current deep learning methods in terms of precision and recall.
{"title":"Unsupervised anomaly detection in time series exploiting local and global information","authors":"Emanuele La Malfa, G. Malfa","doi":"10.1063/1.5138100","DOIUrl":"https://doi.org/10.1063/1.5138100","url":null,"abstract":"We introduce a novel machine learning ensemble architecture for anomaly detection, that exploits global and local information from a 1d time series. A double step validation is performed to decide if a time period is anomalous: from one side a Long Short-Term Memory is trained to be reliable at forecasting, hence a parametric test on the forecasting’s error is used spot the anomalies. Concurrently, a Variational Autoencoder is trained to compress both global and local information from the series to a low-dimensional normal distribution, raising an anomaly if a time step’s likelihood is below a threshold. While anomaly detection with deep learning techniques often comes with the assumption that forecasting error is gaussian, we prove that this is in general a wrong assumption: we show that error function is better approximated by a distribution chosen dynamically. We validate our work on some public physical datasets, outperforming the current deep learning methods in terms of precision and recall.We introduce a novel machine learning ensemble architecture for anomaly detection, that exploits global and local information from a 1d time series. A double step validation is performed to decide if a time period is anomalous: from one side a Long Short-Term Memory is trained to be reliable at forecasting, hence a parametric test on the forecasting’s error is used spot the anomalies. Concurrently, a Variational Autoencoder is trained to compress both global and local information from the series to a low-dimensional normal distribution, raising an anomaly if a time step’s likelihood is below a threshold. While anomaly detection with deep learning techniques often comes with the assumption that forecasting error is gaussian, we prove that this is in general a wrong assumption: we show that error function is better approximated by a distribution chosen dynamically. We validate our work on some public physical datasets, outperforming the current deep learning methods in terms of precision and recall.","PeriodicalId":20565,"journal":{"name":"PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2019 (ICCMSE-2019)","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77748165","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}
Functorial models of category theory are powerful tools used in many branches of mathematics, even in various computer languages such as Python, however, on an applied mathematics level, functors can also provide novel approaches and new types of systematizations of interrelations among scientific concepts and representations. In a somewhat simplified way, a functor can be thought of as a mathematical tool doing two things all at once: transforming both sets and mappings between those sets. For example, a functor can establish a connection between one entity, involving two sets and a family of transformations between them, and another entity, also involving some two sets and the family of transformations between those. In other words, such a functor transforms one pair of sets and the relations between them to another pair of sets and the relations between them.Functorial models of category theory are powerful tools used in many branches of mathematics, even in various computer languages such as Python, however, on an applied mathematics level, functors can also provide novel approaches and new types of systematizations of interrelations among scientific concepts and representations. In a somewhat simplified way, a functor can be thought of as a mathematical tool doing two things all at once: transforming both sets and mappings between those sets. For example, a functor can establish a connection between one entity, involving two sets and a family of transformations between them, and another entity, also involving some two sets and the family of transformations between those. In other words, such a functor transforms one pair of sets and the relations between them to another pair of sets and the relations between them.
{"title":"A functorial approach to analogous molecular systems","authors":"P. Mezey","doi":"10.1063/1.5137911","DOIUrl":"https://doi.org/10.1063/1.5137911","url":null,"abstract":"Functorial models of category theory are powerful tools used in many branches of mathematics, even in various computer languages such as Python, however, on an applied mathematics level, functors can also provide novel approaches and new types of systematizations of interrelations among scientific concepts and representations. In a somewhat simplified way, a functor can be thought of as a mathematical tool doing two things all at once: transforming both sets and mappings between those sets. For example, a functor can establish a connection between one entity, involving two sets and a family of transformations between them, and another entity, also involving some two sets and the family of transformations between those. In other words, such a functor transforms one pair of sets and the relations between them to another pair of sets and the relations between them.Functorial models of category theory are powerful tools used in many branches of mathematics, even in various computer languages such as Python, however, on an applied mathematics level, functors can also provide novel approaches and new types of systematizations of interrelations among scientific concepts and representations. In a somewhat simplified way, a functor can be thought of as a mathematical tool doing two things all at once: transforming both sets and mappings between those sets. For example, a functor can establish a connection between one entity, involving two sets and a family of transformations between them, and another entity, also involving some two sets and the family of transformations between those. In other words, such a functor transforms one pair of sets and the relations between them to another pair of sets and the relations between them.","PeriodicalId":20565,"journal":{"name":"PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2019 (ICCMSE-2019)","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87610181","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}
A. Polozov, M. Kraev, A. V. Rolis, A. Noyakshev, A. Medvedev
{"title":"Regression model of sales manager behavior: Forecast and experimental confirmation","authors":"A. Polozov, M. Kraev, A. V. Rolis, A. Noyakshev, A. Medvedev","doi":"10.1063/1.5137953","DOIUrl":"https://doi.org/10.1063/1.5137953","url":null,"abstract":"","PeriodicalId":20565,"journal":{"name":"PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2019 (ICCMSE-2019)","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85435271","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}
The article focuses on Smart Building and its realization. The Smart Building uses Loxone for home control. The article aims to describe the house, describe the Loxone system and its components (hardware). Next show distribution point - the intelligence of the Smart Building. In conclusion, the article deals with other possibilities of expanding the intelligent house and its vision.The article focuses on Smart Building and its realization. The Smart Building uses Loxone for home control. The article aims to describe the house, describe the Loxone system and its components (hardware). Next show distribution point - the intelligence of the Smart Building. In conclusion, the article deals with other possibilities of expanding the intelligent house and its vision.
{"title":"Smart building with Loxone system","authors":"M. Žáček","doi":"10.1063/1.5137964","DOIUrl":"https://doi.org/10.1063/1.5137964","url":null,"abstract":"The article focuses on Smart Building and its realization. The Smart Building uses Loxone for home control. The article aims to describe the house, describe the Loxone system and its components (hardware). Next show distribution point - the intelligence of the Smart Building. In conclusion, the article deals with other possibilities of expanding the intelligent house and its vision.The article focuses on Smart Building and its realization. The Smart Building uses Loxone for home control. The article aims to describe the house, describe the Loxone system and its components (hardware). Next show distribution point - the intelligence of the Smart Building. In conclusion, the article deals with other possibilities of expanding the intelligent house and its vision.","PeriodicalId":20565,"journal":{"name":"PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2019 (ICCMSE-2019)","volume":"25 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75716158","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}
Eye-tracking, i.e. the measurement of eye activity as a technology is used in many different areas. The most useful is for example using an eye-tracker as a tool for controlling a computer, as a diagnostic tool, as well as a tool for scientific research in many different subjects (marketing, education, medicine, and so on). Our experiences with using eye-tracker technology for research into the effectiveness of learning materials and learning outcomes will be described in the paper.Eye-tracking, i.e. the measurement of eye activity as a technology is used in many different areas. The most useful is for example using an eye-tracker as a tool for controlling a computer, as a diagnostic tool, as well as a tool for scientific research in many different subjects (marketing, education, medicine, and so on). Our experiences with using eye-tracker technology for research into the effectiveness of learning materials and learning outcomes will be described in the paper.
{"title":"Eye-tracker technology in didactic research","authors":"Zuzana Václavíková","doi":"10.1063/1.5137973","DOIUrl":"https://doi.org/10.1063/1.5137973","url":null,"abstract":"Eye-tracking, i.e. the measurement of eye activity as a technology is used in many different areas. The most useful is for example using an eye-tracker as a tool for controlling a computer, as a diagnostic tool, as well as a tool for scientific research in many different subjects (marketing, education, medicine, and so on). Our experiences with using eye-tracker technology for research into the effectiveness of learning materials and learning outcomes will be described in the paper.Eye-tracking, i.e. the measurement of eye activity as a technology is used in many different areas. The most useful is for example using an eye-tracker as a tool for controlling a computer, as a diagnostic tool, as well as a tool for scientific research in many different subjects (marketing, education, medicine, and so on). Our experiences with using eye-tracker technology for research into the effectiveness of learning materials and learning outcomes will be described in the paper.","PeriodicalId":20565,"journal":{"name":"PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2019 (ICCMSE-2019)","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79747657","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}
J. Shim, Y. Yu, D. Tartakovsky, H. Piao, Sang-Hyuk Lee, D. Kim, Seong-cho Yu, Dong-Hyun Kim
We report our micromagnetic simulation investigation of the magnetic vortex core motion in a disk with an antidot. With variation of antidot geometry, faster core gyration is expected, where gyrotropic motion near antidots becomes quite sensitively depending on the antidot geometry, with frequency up to several GHz. Our finding opens a possibility to boost up the core motion of a ferromagnetic nanostructure with introducing geometrical modulation.We report our micromagnetic simulation investigation of the magnetic vortex core motion in a disk with an antidot. With variation of antidot geometry, faster core gyration is expected, where gyrotropic motion near antidots becomes quite sensitively depending on the antidot geometry, with frequency up to several GHz. Our finding opens a possibility to boost up the core motion of a ferromagnetic nanostructure with introducing geometrical modulation.
{"title":"Micromagnetic simulation of fast GHz gyromotion of magnetic vortex core in Permalloy disk with antidot","authors":"J. Shim, Y. Yu, D. Tartakovsky, H. Piao, Sang-Hyuk Lee, D. Kim, Seong-cho Yu, Dong-Hyun Kim","doi":"10.1063/1.5138097","DOIUrl":"https://doi.org/10.1063/1.5138097","url":null,"abstract":"We report our micromagnetic simulation investigation of the magnetic vortex core motion in a disk with an antidot. With variation of antidot geometry, faster core gyration is expected, where gyrotropic motion near antidots becomes quite sensitively depending on the antidot geometry, with frequency up to several GHz. Our finding opens a possibility to boost up the core motion of a ferromagnetic nanostructure with introducing geometrical modulation.We report our micromagnetic simulation investigation of the magnetic vortex core motion in a disk with an antidot. With variation of antidot geometry, faster core gyration is expected, where gyrotropic motion near antidots becomes quite sensitively depending on the antidot geometry, with frequency up to several GHz. Our finding opens a possibility to boost up the core motion of a ferromagnetic nanostructure with introducing geometrical modulation.","PeriodicalId":20565,"journal":{"name":"PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2019 (ICCMSE-2019)","volume":"89 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77036364","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}
G. Tesoriere, A. Canale, A. Severino, I. Mrak, T. Campisi
Generally the safety of public areas plays a fundamental role in the liveability of a city. Different evacuation simulations are carried out over the years in order to mitigate the problems connected to a chaotic movement of pedestrians. The panicgenerated by a possible risky event, often involves variations in the trajectories assumed in the same spaces in safe conditions. This is due to the variations in speed, pedestrian density in the sub-areas and if not properly evaluated, the evacuation process could generate crowds and therefore congestion, reducing the distance from the area object of an event. The present study focuses on the evaluation of different scenarios applied to the named square of Kalamaria (Greece) which is located near the two biggest pedestrian areas of the city. The study approach, based on pedestrian micro-simulation, is focused on the dynamic assignment,implemented in order to shape the path pedestrian choice behaviour by omitting the creation of static routes and using the OD matrix as flow input instead. Different steps are established in order to enquire input data, to calibrate the tool and obtain the results. These are based on the definition of areas and sub-areas in accordance with the pedestrian social force model.Through dynamic pedestrian assignment, different parameters were compared including speeds, density pedestrian and the LOS (Level Of Service), crossing the main square which may lead to benefits or criticalities as the risk level increases.Generally the safety of public areas plays a fundamental role in the liveability of a city. Different evacuation simulations are carried out over the years in order to mitigate the problems connected to a chaotic movement of pedestrians. The panicgenerated by a possible risky event, often involves variations in the trajectories assumed in the same spaces in safe conditions. This is due to the variations in speed, pedestrian density in the sub-areas and if not properly evaluated, the evacuation process could generate crowds and therefore congestion, reducing the distance from the area object of an event. The present study focuses on the evaluation of different scenarios applied to the named square of Kalamaria (Greece) which is located near the two biggest pedestrian areas of the city. The study approach, based on pedestrian micro-simulation, is focused on the dynamic assignment,implemented in order to shape the path pedestrian choice behaviour by omitting the creation of static routes and using the OD mat...
{"title":"The management of pedestrian emergency through dynamic assignment: Some consideration about the “Refugee Hellenism” Square of Kalamaria (Greece)","authors":"G. Tesoriere, A. Canale, A. Severino, I. Mrak, T. Campisi","doi":"10.1063/1.5138072","DOIUrl":"https://doi.org/10.1063/1.5138072","url":null,"abstract":"Generally the safety of public areas plays a fundamental role in the liveability of a city. Different evacuation simulations are carried out over the years in order to mitigate the problems connected to a chaotic movement of pedestrians. The panicgenerated by a possible risky event, often involves variations in the trajectories assumed in the same spaces in safe conditions. This is due to the variations in speed, pedestrian density in the sub-areas and if not properly evaluated, the evacuation process could generate crowds and therefore congestion, reducing the distance from the area object of an event. The present study focuses on the evaluation of different scenarios applied to the named square of Kalamaria (Greece) which is located near the two biggest pedestrian areas of the city. The study approach, based on pedestrian micro-simulation, is focused on the dynamic assignment,implemented in order to shape the path pedestrian choice behaviour by omitting the creation of static routes and using the OD matrix as flow input instead. Different steps are established in order to enquire input data, to calibrate the tool and obtain the results. These are based on the definition of areas and sub-areas in accordance with the pedestrian social force model.Through dynamic pedestrian assignment, different parameters were compared including speeds, density pedestrian and the LOS (Level Of Service), crossing the main square which may lead to benefits or criticalities as the risk level increases.Generally the safety of public areas plays a fundamental role in the liveability of a city. Different evacuation simulations are carried out over the years in order to mitigate the problems connected to a chaotic movement of pedestrians. The panicgenerated by a possible risky event, often involves variations in the trajectories assumed in the same spaces in safe conditions. This is due to the variations in speed, pedestrian density in the sub-areas and if not properly evaluated, the evacuation process could generate crowds and therefore congestion, reducing the distance from the area object of an event. The present study focuses on the evaluation of different scenarios applied to the named square of Kalamaria (Greece) which is located near the two biggest pedestrian areas of the city. The study approach, based on pedestrian micro-simulation, is focused on the dynamic assignment,implemented in order to shape the path pedestrian choice behaviour by omitting the creation of static routes and using the OD mat...","PeriodicalId":20565,"journal":{"name":"PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2019 (ICCMSE-2019)","volume":"49 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78625474","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}
D. Divakov, A. Egorov, K. Lovetskiy, L. Sevastianov
In the case of guided and radiation modes of open waveguides, the Sturm-Liouville problem is formulated for self-adjoint second-order operators on the axis and the corresponding eigenvalues are real quantities for dielectric media. The search for eigenvalues and eigenfunctions corresponding to the leaky modes involves a number of difficulties: the boundary conditions for the leaky modes are not self-adjoint, so that the eigenvalues can turn out to be complex quantities. The problem of finding eigenvalues and eigenfunctions is associated with finding the complex roots of the nonlinear dispersion equation.The presence of complex eigenvalues corresponding to the leaky modes leads to an infinite increase of eigenfunctions corresponding to the leaky modes. In the present work, the leaky modes are considered as solutions of the problem for the wave equation and are analyzed as a wave process. Complex eigenvalues define the leaky modes as inhomogeneous waves. The proposed approach allows to obtain a mathematically sound representation of the leaky modes, within which one can see the region of existence of each particular leaky mode. The calculations of model structure, demonstrating the application of the described approach, are presented in the paper.In the case of guided and radiation modes of open waveguides, the Sturm-Liouville problem is formulated for self-adjoint second-order operators on the axis and the corresponding eigenvalues are real quantities for dielectric media. The search for eigenvalues and eigenfunctions corresponding to the leaky modes involves a number of difficulties: the boundary conditions for the leaky modes are not self-adjoint, so that the eigenvalues can turn out to be complex quantities. The problem of finding eigenvalues and eigenfunctions is associated with finding the complex roots of the nonlinear dispersion equation.The presence of complex eigenvalues corresponding to the leaky modes leads to an infinite increase of eigenfunctions corresponding to the leaky modes. In the present work, the leaky modes are considered as solutions of the problem for the wave equation and are analyzed as a wave process. Complex eigenvalues define the leaky modes as inhomogeneous waves. The proposed approach allows to obtain a mathematical...
{"title":"Symbolic-numeric research of leaky modes in planar dielectric electromagnetic waveguide as inhomogeneous waves","authors":"D. Divakov, A. Egorov, K. Lovetskiy, L. Sevastianov","doi":"10.1063/1.5138102","DOIUrl":"https://doi.org/10.1063/1.5138102","url":null,"abstract":"In the case of guided and radiation modes of open waveguides, the Sturm-Liouville problem is formulated for self-adjoint second-order operators on the axis and the corresponding eigenvalues are real quantities for dielectric media. The search for eigenvalues and eigenfunctions corresponding to the leaky modes involves a number of difficulties: the boundary conditions for the leaky modes are not self-adjoint, so that the eigenvalues can turn out to be complex quantities. The problem of finding eigenvalues and eigenfunctions is associated with finding the complex roots of the nonlinear dispersion equation.The presence of complex eigenvalues corresponding to the leaky modes leads to an infinite increase of eigenfunctions corresponding to the leaky modes. In the present work, the leaky modes are considered as solutions of the problem for the wave equation and are analyzed as a wave process. Complex eigenvalues define the leaky modes as inhomogeneous waves. The proposed approach allows to obtain a mathematically sound representation of the leaky modes, within which one can see the region of existence of each particular leaky mode. The calculations of model structure, demonstrating the application of the described approach, are presented in the paper.In the case of guided and radiation modes of open waveguides, the Sturm-Liouville problem is formulated for self-adjoint second-order operators on the axis and the corresponding eigenvalues are real quantities for dielectric media. The search for eigenvalues and eigenfunctions corresponding to the leaky modes involves a number of difficulties: the boundary conditions for the leaky modes are not self-adjoint, so that the eigenvalues can turn out to be complex quantities. The problem of finding eigenvalues and eigenfunctions is associated with finding the complex roots of the nonlinear dispersion equation.The presence of complex eigenvalues corresponding to the leaky modes leads to an infinite increase of eigenfunctions corresponding to the leaky modes. In the present work, the leaky modes are considered as solutions of the problem for the wave equation and are analyzed as a wave process. Complex eigenvalues define the leaky modes as inhomogeneous waves. The proposed approach allows to obtain a mathematical...","PeriodicalId":20565,"journal":{"name":"PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2019 (ICCMSE-2019)","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73020491","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}
L. Morais, A. Argondizzo, Dílson Silva, S. Missailidis
Zika virus (ZIKV) belongs to the Flaviviridae family and its recent outbreak and association with human diseases (e.g. neurological disorders and microcephaly in babies) have raised global health concerns. Its differentiation from Dengue in accurate diagnostic assays are of great importance. The viral NS1 protein is a secreted protein and can be an ideal target for diagnostic assay development. We have thus selected NS1 as target for aptamer selection and study. Single-stranded DNA oligonucleotides aptamers have been previously selected for this target, and here we present the study of such aptamers by fluorescent spectroscopy, CD and ELISA in order to characterize their interaction and select the best candidate for further future assay development.Zika virus (ZIKV) belongs to the Flaviviridae family and its recent outbreak and association with human diseases (e.g. neurological disorders and microcephaly in babies) have raised global health concerns. Its differentiation from Dengue in accurate diagnostic assays are of great importance. The viral NS1 protein is a secreted protein and can be an ideal target for diagnostic assay development. We have thus selected NS1 as target for aptamer selection and study. Single-stranded DNA oligonucleotides aptamers have been previously selected for this target, and here we present the study of such aptamers by fluorescent spectroscopy, CD and ELISA in order to characterize their interaction and select the best candidate for further future assay development.
{"title":"Aptamers against the Zika virus NS1 protein, for a serological diagnostic assay development","authors":"L. Morais, A. Argondizzo, Dílson Silva, S. Missailidis","doi":"10.1063/1.5138061","DOIUrl":"https://doi.org/10.1063/1.5138061","url":null,"abstract":"Zika virus (ZIKV) belongs to the Flaviviridae family and its recent outbreak and association with human diseases (e.g. neurological disorders and microcephaly in babies) have raised global health concerns. Its differentiation from Dengue in accurate diagnostic assays are of great importance. The viral NS1 protein is a secreted protein and can be an ideal target for diagnostic assay development. We have thus selected NS1 as target for aptamer selection and study. Single-stranded DNA oligonucleotides aptamers have been previously selected for this target, and here we present the study of such aptamers by fluorescent spectroscopy, CD and ELISA in order to characterize their interaction and select the best candidate for further future assay development.Zika virus (ZIKV) belongs to the Flaviviridae family and its recent outbreak and association with human diseases (e.g. neurological disorders and microcephaly in babies) have raised global health concerns. Its differentiation from Dengue in accurate diagnostic assays are of great importance. The viral NS1 protein is a secreted protein and can be an ideal target for diagnostic assay development. We have thus selected NS1 as target for aptamer selection and study. Single-stranded DNA oligonucleotides aptamers have been previously selected for this target, and here we present the study of such aptamers by fluorescent spectroscopy, CD and ELISA in order to characterize their interaction and select the best candidate for further future assay development.","PeriodicalId":20565,"journal":{"name":"PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2019 (ICCMSE-2019)","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75026080","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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