8 research outputs found
Noise model of the cryogenic nuclear magnetic resonance spectroscopy system\u27s receiving chain
One of the challenges in modern nuclear magnetic resonance (NMR) is achieving its highest possible measuring sensitivity. This is because modern NMR samples\u27 response signals decrease, so background noise of the used NMR spectroscopy system causes bigger problems. As a solution, both software and hardware interventions were applied. However, these improvements were obtained experimentally, so the reason for their proper operation and upper limit is usually unknown. Recently, a noise model of the NMR spectroscopy system, which shows both the reason for proper operation and the upper limit of the applied improvements, was introduced. A Javascript-based calculator, based on the introduced model, has been developed and made available online as a user-friendly website that can be run on the most commonly used Internet browsers. To the authors\u27 knowledge, this calculator is the first of its kind that analyses noise properties in NMR. Using it, one can a priori make both sensitivity prediction of practical NMR systems in physics and material science and quantitative analysis of its noise properties. Consequently, overall measurement duration can be shortened down to one half of the current duration. This is an immense improvement, as some modern NMR measurements consume more than ten hours per measurement
Electromagnetic wave scattering on planar and cylindrical anisotropic structures
U radu se analizira rasprÅ”enje elektromagnetskih valova na tankim zakrivljenim dielektriÄnim objektima te planarnim i cilindriÄnim anizotropnim strukturama. Kod tankih zakrivljenih dielektriÄnih objekata provedena je analiza koja omoguÄuje redukciju modela rasprÅ”enja skalarnog vala s trodimenzionalnog objekta na aproksimativni dvodimenzionalni objekt. Skalarni valovi javljaju se kod problema rasprÅ”enja na trodimenzionalnim objektima i kod problema rasprÅ”enja transverzalno elektriÄnih (TE) i transverzalno magnetskih (TM) valova u dvodimenzionalnim elektromagnetskim problemima. Primjenom izvedenog reduciranog modela smanjeni su zahtjevi na numeriÄko rjeÅ”avanje problema jer se za jednu dimenziju smanjuje objekt promatranja Å”to rezultira smanjenjem dimenzije elemenata u diskretizaciji objekta pa time i njihov broj te zahtjevi na memoriju i snagu raÄunala. U sluÄaju jednoosnog anizotropnog homogenog prostora s planarnom i cilindriÄnom simetrijom izvedena je Greenova funkcija koja omoguÄuje unaprjeÄenje G1DMULT s izotropne homogene viÅ”eslojne strukture na viÅ”eslojnu strukturu s jednoosno anizotropnim slojevima. G1DMULT algoritam uspjeÅ”no se primjenjuje dugi niz godina na probleme analize konformnih mikrotrakastih antena te analizu svjetlovoda i leÄa antena. UnaprijeÄeni algoritam primijenjen je na raÄunanje efektivnih parametara metamaterijalnih jednoslojnih i viÅ”eslojnih struktura. Izveden je algoritam koji omoguÄuje rjeÅ”avanje problema rasprÅ”enja elektromagnetskih valova uslijed kosog upada na cilindar naÄinjen od savrÅ”enog metala koji se nalazi unutar viÅ”eslojnog anizotropnog plaÅ”ta. Problemi koji se javljaju kod analize opisanog problema leže u Äinjenici da je model problema opisan sustavom diferencijalnih jednadžbi, a ne jednom jednadžbom kao Å”to je sluÄaj kod okomitog upada elektromagnetskog vala na spomenutu strukturu. NumeriÄko rjeÅ”enje za potpuni problem nije moguÄe dobiti na efikasan naÄin zato Å”to je problem rasprÅ”enja problem u slobodnom prostoru Å”to predstavlja veliki zahtjev na koriÅ”tenu numeriÄku metodu. U radu je iskoriÅ”teno poznavanje rjeÅ”enja izvan promatranog objekta na naÄin da je rjeÅ”enje izvan objekta rastavljeno u sumu planarnih valova koja je na vanjskom rubu anizotropnog plaÅ”ta spojena s numeriÄkim rjeÅ”enjem unutar strukture. Na taj naÄin je reducirana domena na kojoj je potrebno numeriÄki rjeÅ”avati problem. Izvedena metoda je primijenjena na analizu rasprÅ”enja elektromagnetskih valova na Schurigovom i Caijevom plaÅ”tu nevidljivosti uslijed kosog upada. Pokazano je da izvedeni plaÅ”tevi nevidljivosti rade dobro samo za okomiti upad elektromagnetskog vala dok za relativno male pomake od normale na cilindar rasprÅ”enje od takvog objekta postaje veÄe od rasprÅ”enja na Äistom cilindru naÄinjenom od savrÅ”enog metala, tj. predloženi plaÅ”tevi nevidljivosti ne rade za kosi upad elektromagnetskog vala.In the thesis emphasis is on electromagnetic scattering on anisotropic structures and on electromagnetic scattering on curved homogeneous structures. Electromagnetic wave scattering on anisotropic structures has become a very interesting topic in the last couple of years. The main application is connected to metamaterials, metasurfaces and other anisotropic media. Metamaterials and metasurfaces are artificial electromagnetic structures made from small scatterers on a distance smaller than wavelength. Because the distance is small between the elements it is possible to use homogenization techniques in order to analyze and produce objects made from metamaterials. The result of homogenization procedure are usually anisotropic parameters and in order to further analyze considered object it is necessary to be able to accurately describe scattering from anisotropic structures. In the second chapter an approximate method for solving the scattering problem on a curved thin dielectric object is proposed. It is assumed that the permittivity of an object in asymptotic regime is scaled with thickness since otherwise at certain moment the object will become invisible for an incoming wave because it will be too thin and with too small permittivity to be noticeable. The starting point of the method is the Helmholtz partial differential equation which is transformed to the Lippmann-Schwinger integral equation using convolution with the Greens function. Lippmann-Schwinger integral equation is a Fredholm second type integral equation for which there is a lot of developed theory which is usefull in the process of asymptotic analysis. In order to utilize the information about the small thickness of the structure, asymptotic analysis in terms of small parameter is applied. Solution to a full three dimensional problem is then described as an asymptotic series in terms of thickness. Using this procedure, the starting integral equation on three dimensional structure is reduced to an integral equation on two dimensional structure. Transition from Helmholtz partial differential equation to Lippmann-Schwinger integral equation reduces computational time, however in order to solve the problem it is still necessary to numerically solve it on a three dimensional object. After the asymptotic analysis and by obtaining first order asymptotic solution it will be enough to solve the problem only on a two dimensional domain. Error estimate and convergence for described approximation will be presented and it will be verified on an electromagnetic scattering problem. In the third chapter Greens functions for uniaxially anisotropic multilayer planar and cylindrical structures are derived. Those functions are used for upgrading G1DMULT algorithm previously developed by prof. Zvonimir Sipus and prof. Per-Simon Kildal. Using G1DMULT algorithm it is possible to calculate radiation from homogeneous isotropic multilayer structures, and with the upgrade involving the developed Greens functions it is possible to analyze uniaxially anisotropic structures. This algorithm was previously used for analysis of conformal microstrip antennas, optical fibers and lenses. One of the biggest applications is analysis of microstrip antennas on spherical structures on which scientists from Department for Wireless Communications worked for several years. The need for upgrading G1DMULT algorithm came from the idea of analyzing metamaterial structures. In this chapter it is shown that this upgrade allows analysis of uniaxially anisotropic structures because in that case it is possible to decompose scattered electromagnetic field on transversel electric and transversel magnetic modes. In uniaxially anosotropic strucuteres there is no coupling between those two modes. If the structure is such that the modes are coupled then it is necessary to analyze it using the procedure proposed in the following chapter. Upgraded G1DMULT algorithm is used for the analysis of scattering from periodic strips and from artificial anisotropic dielectrics. In the fourth chapter analysis of electromagnetic scattering from biaxially anisotropic structures is given. The considered problem is a circular cylindrical metallic rod inside a multilayer biaxially anisotropic dielectric object. In the case of oblique incidence of electromagnetic waves it is not possible to decouple transversel electric and transversel magnetic modes because both modes are needed in order to satisfy boundary conditions. For that reason the mathematical model of the described situation is given with system of partial differential equations and not with only one equation, and consequently the analysis from the third chapter cannot be applied. Method developed in this chapter is based on Fourier series and finite differences. Using Fourier series it is possible to switch from solving system of partial differential equations to solving a system of ordinary differential equation for every mode. Because of small dimensions of structures there are only few modes for which it is needed to solve the system. Outside the structure it is possible to solve the scattered field as a summation of outgoing plane waves. It is possible to analytically describe wave outside the object because mathematical model is given with only one equation of Bessel type. That solution is given in terms of plane wave expansion. Inside the structure finite difference method is used for solving the field. On the boundary of cylindrical object the outside and the inside problems are matched through boundary conditions. Matching these two solutions gives final boundary condition for numerical solution of the problem. Using this method oblique incidence from metamaterial cloaks is analyzed. Circular cylindrical cloaks were usually analyzed only for normal incidence because in that case it is possible to use simpler algorithms such as the algorithm described in previous chapter. Since the normal incidence case can be solved using the G1DMULT algorithm it is used as a reference for algorithm developed in this chapter. Results for oblique incidence are compared for oblique incidence solution for a metallic circular cylinder inside one layer of dielectric material. Using the developed algorithm it is shown that cloaks known from the literature work only for normal incidence. In the case of oblique incidence there is a great detoriation of radar cross section for increased angle of incidence. When angle of incidence is shifted for 20 or more degrees relative to the normal incidence, radar cross section for cloaked metal cylinder is larger then the radar cross section of bare metal. This means that cloaks from the literature work only for normal incidence of electromagnetic wave or for very small displacement from the normal incidence
Electromagnetic wave scattering on planar and cylindrical anisotropic structures
U radu se analizira rasprÅ”enje elektromagnetskih valova na tankim zakrivljenim dielektriÄnim objektima te planarnim i cilindriÄnim anizotropnim strukturama. Kod tankih zakrivljenih dielektriÄnih objekata provedena je analiza koja omoguÄuje redukciju modela rasprÅ”enja skalarnog vala s trodimenzionalnog objekta na aproksimativni dvodimenzionalni objekt. Skalarni valovi javljaju se kod problema rasprÅ”enja na trodimenzionalnim objektima i kod problema rasprÅ”enja transverzalno elektriÄnih (TE) i transverzalno magnetskih (TM) valova u dvodimenzionalnim elektromagnetskim problemima. Primjenom izvedenog reduciranog modela smanjeni su zahtjevi na numeriÄko rjeÅ”avanje problema jer se za jednu dimenziju smanjuje objekt promatranja Å”to rezultira smanjenjem dimenzije elemenata u diskretizaciji objekta pa time i njihov broj te zahtjevi na memoriju i snagu raÄunala. U sluÄaju jednoosnog anizotropnog homogenog prostora s planarnom i cilindriÄnom simetrijom izvedena je Greenova funkcija koja omoguÄuje unaprjeÄenje G1DMULT s izotropne homogene viÅ”eslojne strukture na viÅ”eslojnu strukturu s jednoosno anizotropnim slojevima. G1DMULT algoritam uspjeÅ”no se primjenjuje dugi niz godina na probleme analize konformnih mikrotrakastih antena te analizu svjetlovoda i leÄa antena. UnaprijeÄeni algoritam primijenjen je na raÄunanje efektivnih parametara metamaterijalnih jednoslojnih i viÅ”eslojnih struktura. Izveden je algoritam koji omoguÄuje rjeÅ”avanje problema rasprÅ”enja elektromagnetskih valova uslijed kosog upada na cilindar naÄinjen od savrÅ”enog metala koji se nalazi unutar viÅ”eslojnog anizotropnog plaÅ”ta. Problemi koji se javljaju kod analize opisanog problema leže u Äinjenici da je model problema opisan sustavom diferencijalnih jednadžbi, a ne jednom jednadžbom kao Å”to je sluÄaj kod okomitog upada elektromagnetskog vala na spomenutu strukturu. NumeriÄko rjeÅ”enje za potpuni problem nije moguÄe dobiti na efikasan naÄin zato Å”to je problem rasprÅ”enja problem u slobodnom prostoru Å”to predstavlja veliki zahtjev na koriÅ”tenu numeriÄku metodu. U radu je iskoriÅ”teno poznavanje rjeÅ”enja izvan promatranog objekta na naÄin da je rjeÅ”enje izvan objekta rastavljeno u sumu planarnih valova koja je na vanjskom rubu anizotropnog plaÅ”ta spojena s numeriÄkim rjeÅ”enjem unutar strukture. Na taj naÄin je reducirana domena na kojoj je potrebno numeriÄki rjeÅ”avati problem. Izvedena metoda je primijenjena na analizu rasprÅ”enja elektromagnetskih valova na Schurigovom i Caijevom plaÅ”tu nevidljivosti uslijed kosog upada. Pokazano je da izvedeni plaÅ”tevi nevidljivosti rade dobro samo za okomiti upad elektromagnetskog vala dok za relativno male pomake od normale na cilindar rasprÅ”enje od takvog objekta postaje veÄe od rasprÅ”enja na Äistom cilindru naÄinjenom od savrÅ”enog metala, tj. predloženi plaÅ”tevi nevidljivosti ne rade za kosi upad elektromagnetskog vala.In the thesis emphasis is on electromagnetic scattering on anisotropic structures and on electromagnetic scattering on curved homogeneous structures. Electromagnetic wave scattering on anisotropic structures has become a very interesting topic in the last couple of years. The main application is connected to metamaterials, metasurfaces and other anisotropic media. Metamaterials and metasurfaces are artificial electromagnetic structures made from small scatterers on a distance smaller than wavelength. Because the distance is small between the elements it is possible to use homogenization techniques in order to analyze and produce objects made from metamaterials. The result of homogenization procedure are usually anisotropic parameters and in order to further analyze considered object it is necessary to be able to accurately describe scattering from anisotropic structures. In the second chapter an approximate method for solving the scattering problem on a curved thin dielectric object is proposed. It is assumed that the permittivity of an object in asymptotic regime is scaled with thickness since otherwise at certain moment the object will become invisible for an incoming wave because it will be too thin and with too small permittivity to be noticeable. The starting point of the method is the Helmholtz partial differential equation which is transformed to the Lippmann-Schwinger integral equation using convolution with the Greens function. Lippmann-Schwinger integral equation is a Fredholm second type integral equation for which there is a lot of developed theory which is usefull in the process of asymptotic analysis. In order to utilize the information about the small thickness of the structure, asymptotic analysis in terms of small parameter is applied. Solution to a full three dimensional problem is then described as an asymptotic series in terms of thickness. Using this procedure, the starting integral equation on three dimensional structure is reduced to an integral equation on two dimensional structure. Transition from Helmholtz partial differential equation to Lippmann-Schwinger integral equation reduces computational time, however in order to solve the problem it is still necessary to numerically solve it on a three dimensional object. After the asymptotic analysis and by obtaining first order asymptotic solution it will be enough to solve the problem only on a two dimensional domain. Error estimate and convergence for described approximation will be presented and it will be verified on an electromagnetic scattering problem. In the third chapter Greens functions for uniaxially anisotropic multilayer planar and cylindrical structures are derived. Those functions are used for upgrading G1DMULT algorithm previously developed by prof. Zvonimir Sipus and prof. Per-Simon Kildal. Using G1DMULT algorithm it is possible to calculate radiation from homogeneous isotropic multilayer structures, and with the upgrade involving the developed Greens functions it is possible to analyze uniaxially anisotropic structures. This algorithm was previously used for analysis of conformal microstrip antennas, optical fibers and lenses. One of the biggest applications is analysis of microstrip antennas on spherical structures on which scientists from Department for Wireless Communications worked for several years. The need for upgrading G1DMULT algorithm came from the idea of analyzing metamaterial structures. In this chapter it is shown that this upgrade allows analysis of uniaxially anisotropic structures because in that case it is possible to decompose scattered electromagnetic field on transversel electric and transversel magnetic modes. In uniaxially anosotropic strucuteres there is no coupling between those two modes. If the structure is such that the modes are coupled then it is necessary to analyze it using the procedure proposed in the following chapter. Upgraded G1DMULT algorithm is used for the analysis of scattering from periodic strips and from artificial anisotropic dielectrics. In the fourth chapter analysis of electromagnetic scattering from biaxially anisotropic structures is given. The considered problem is a circular cylindrical metallic rod inside a multilayer biaxially anisotropic dielectric object. In the case of oblique incidence of electromagnetic waves it is not possible to decouple transversel electric and transversel magnetic modes because both modes are needed in order to satisfy boundary conditions. For that reason the mathematical model of the described situation is given with system of partial differential equations and not with only one equation, and consequently the analysis from the third chapter cannot be applied. Method developed in this chapter is based on Fourier series and finite differences. Using Fourier series it is possible to switch from solving system of partial differential equations to solving a system of ordinary differential equation for every mode. Because of small dimensions of structures there are only few modes for which it is needed to solve the system. Outside the structure it is possible to solve the scattered field as a summation of outgoing plane waves. It is possible to analytically describe wave outside the object because mathematical model is given with only one equation of Bessel type. That solution is given in terms of plane wave expansion. Inside the structure finite difference method is used for solving the field. On the boundary of cylindrical object the outside and the inside problems are matched through boundary conditions. Matching these two solutions gives final boundary condition for numerical solution of the problem. Using this method oblique incidence from metamaterial cloaks is analyzed. Circular cylindrical cloaks were usually analyzed only for normal incidence because in that case it is possible to use simpler algorithms such as the algorithm described in previous chapter. Since the normal incidence case can be solved using the G1DMULT algorithm it is used as a reference for algorithm developed in this chapter. Results for oblique incidence are compared for oblique incidence solution for a metallic circular cylinder inside one layer of dielectric material. Using the developed algorithm it is shown that cloaks known from the literature work only for normal incidence. In the case of oblique incidence there is a great detoriation of radar cross section for increased angle of incidence. When angle of incidence is shifted for 20 or more degrees relative to the normal incidence, radar cross section for cloaked metal cylinder is larger then the radar cross section of bare metal. This means that cloaks from the literature work only for normal incidence of electromagnetic wave or for very small displacement from the normal incidence
Electromagnetic wave scattering on planar and cylindrical anisotropic structures
U radu se analizira rasprÅ”enje elektromagnetskih valova na tankim zakrivljenim dielektriÄnim objektima te planarnim i cilindriÄnim anizotropnim strukturama. Kod tankih zakrivljenih dielektriÄnih objekata provedena je analiza koja omoguÄuje redukciju modela rasprÅ”enja skalarnog vala s trodimenzionalnog objekta na aproksimativni dvodimenzionalni objekt. Skalarni valovi javljaju se kod problema rasprÅ”enja na trodimenzionalnim objektima i kod problema rasprÅ”enja transverzalno elektriÄnih (TE) i transverzalno magnetskih (TM) valova u dvodimenzionalnim elektromagnetskim problemima. Primjenom izvedenog reduciranog modela smanjeni su zahtjevi na numeriÄko rjeÅ”avanje problema jer se za jednu dimenziju smanjuje objekt promatranja Å”to rezultira smanjenjem dimenzije elemenata u diskretizaciji objekta pa time i njihov broj te zahtjevi na memoriju i snagu raÄunala. U sluÄaju jednoosnog anizotropnog homogenog prostora s planarnom i cilindriÄnom simetrijom izvedena je Greenova funkcija koja omoguÄuje unaprjeÄenje G1DMULT s izotropne homogene viÅ”eslojne strukture na viÅ”eslojnu strukturu s jednoosno anizotropnim slojevima. G1DMULT algoritam uspjeÅ”no se primjenjuje dugi niz godina na probleme analize konformnih mikrotrakastih antena te analizu svjetlovoda i leÄa antena. UnaprijeÄeni algoritam primijenjen je na raÄunanje efektivnih parametara metamaterijalnih jednoslojnih i viÅ”eslojnih struktura. Izveden je algoritam koji omoguÄuje rjeÅ”avanje problema rasprÅ”enja elektromagnetskih valova uslijed kosog upada na cilindar naÄinjen od savrÅ”enog metala koji se nalazi unutar viÅ”eslojnog anizotropnog plaÅ”ta. Problemi koji se javljaju kod analize opisanog problema leže u Äinjenici da je model problema opisan sustavom diferencijalnih jednadžbi, a ne jednom jednadžbom kao Å”to je sluÄaj kod okomitog upada elektromagnetskog vala na spomenutu strukturu. NumeriÄko rjeÅ”enje za potpuni problem nije moguÄe dobiti na efikasan naÄin zato Å”to je problem rasprÅ”enja problem u slobodnom prostoru Å”to predstavlja veliki zahtjev na koriÅ”tenu numeriÄku metodu. U radu je iskoriÅ”teno poznavanje rjeÅ”enja izvan promatranog objekta na naÄin da je rjeÅ”enje izvan objekta rastavljeno u sumu planarnih valova koja je na vanjskom rubu anizotropnog plaÅ”ta spojena s numeriÄkim rjeÅ”enjem unutar strukture. Na taj naÄin je reducirana domena na kojoj je potrebno numeriÄki rjeÅ”avati problem. Izvedena metoda je primijenjena na analizu rasprÅ”enja elektromagnetskih valova na Schurigovom i Caijevom plaÅ”tu nevidljivosti uslijed kosog upada. Pokazano je da izvedeni plaÅ”tevi nevidljivosti rade dobro samo za okomiti upad elektromagnetskog vala dok za relativno male pomake od normale na cilindar rasprÅ”enje od takvog objekta postaje veÄe od rasprÅ”enja na Äistom cilindru naÄinjenom od savrÅ”enog metala, tj. predloženi plaÅ”tevi nevidljivosti ne rade za kosi upad elektromagnetskog vala.In the thesis emphasis is on electromagnetic scattering on anisotropic structures and on electromagnetic scattering on curved homogeneous structures. Electromagnetic wave scattering on anisotropic structures has become a very interesting topic in the last couple of years. The main application is connected to metamaterials, metasurfaces and other anisotropic media. Metamaterials and metasurfaces are artificial electromagnetic structures made from small scatterers on a distance smaller than wavelength. Because the distance is small between the elements it is possible to use homogenization techniques in order to analyze and produce objects made from metamaterials. The result of homogenization procedure are usually anisotropic parameters and in order to further analyze considered object it is necessary to be able to accurately describe scattering from anisotropic structures. In the second chapter an approximate method for solving the scattering problem on a curved thin dielectric object is proposed. It is assumed that the permittivity of an object in asymptotic regime is scaled with thickness since otherwise at certain moment the object will become invisible for an incoming wave because it will be too thin and with too small permittivity to be noticeable. The starting point of the method is the Helmholtz partial differential equation which is transformed to the Lippmann-Schwinger integral equation using convolution with the Greens function. Lippmann-Schwinger integral equation is a Fredholm second type integral equation for which there is a lot of developed theory which is usefull in the process of asymptotic analysis. In order to utilize the information about the small thickness of the structure, asymptotic analysis in terms of small parameter is applied. Solution to a full three dimensional problem is then described as an asymptotic series in terms of thickness. Using this procedure, the starting integral equation on three dimensional structure is reduced to an integral equation on two dimensional structure. Transition from Helmholtz partial differential equation to Lippmann-Schwinger integral equation reduces computational time, however in order to solve the problem it is still necessary to numerically solve it on a three dimensional object. After the asymptotic analysis and by obtaining first order asymptotic solution it will be enough to solve the problem only on a two dimensional domain. Error estimate and convergence for described approximation will be presented and it will be verified on an electromagnetic scattering problem. In the third chapter Greens functions for uniaxially anisotropic multilayer planar and cylindrical structures are derived. Those functions are used for upgrading G1DMULT algorithm previously developed by prof. Zvonimir Sipus and prof. Per-Simon Kildal. Using G1DMULT algorithm it is possible to calculate radiation from homogeneous isotropic multilayer structures, and with the upgrade involving the developed Greens functions it is possible to analyze uniaxially anisotropic structures. This algorithm was previously used for analysis of conformal microstrip antennas, optical fibers and lenses. One of the biggest applications is analysis of microstrip antennas on spherical structures on which scientists from Department for Wireless Communications worked for several years. The need for upgrading G1DMULT algorithm came from the idea of analyzing metamaterial structures. In this chapter it is shown that this upgrade allows analysis of uniaxially anisotropic structures because in that case it is possible to decompose scattered electromagnetic field on transversel electric and transversel magnetic modes. In uniaxially anosotropic strucuteres there is no coupling between those two modes. If the structure is such that the modes are coupled then it is necessary to analyze it using the procedure proposed in the following chapter. Upgraded G1DMULT algorithm is used for the analysis of scattering from periodic strips and from artificial anisotropic dielectrics. In the fourth chapter analysis of electromagnetic scattering from biaxially anisotropic structures is given. The considered problem is a circular cylindrical metallic rod inside a multilayer biaxially anisotropic dielectric object. In the case of oblique incidence of electromagnetic waves it is not possible to decouple transversel electric and transversel magnetic modes because both modes are needed in order to satisfy boundary conditions. For that reason the mathematical model of the described situation is given with system of partial differential equations and not with only one equation, and consequently the analysis from the third chapter cannot be applied. Method developed in this chapter is based on Fourier series and finite differences. Using Fourier series it is possible to switch from solving system of partial differential equations to solving a system of ordinary differential equation for every mode. Because of small dimensions of structures there are only few modes for which it is needed to solve the system. Outside the structure it is possible to solve the scattered field as a summation of outgoing plane waves. It is possible to analytically describe wave outside the object because mathematical model is given with only one equation of Bessel type. That solution is given in terms of plane wave expansion. Inside the structure finite difference method is used for solving the field. On the boundary of cylindrical object the outside and the inside problems are matched through boundary conditions. Matching these two solutions gives final boundary condition for numerical solution of the problem. Using this method oblique incidence from metamaterial cloaks is analyzed. Circular cylindrical cloaks were usually analyzed only for normal incidence because in that case it is possible to use simpler algorithms such as the algorithm described in previous chapter. Since the normal incidence case can be solved using the G1DMULT algorithm it is used as a reference for algorithm developed in this chapter. Results for oblique incidence are compared for oblique incidence solution for a metallic circular cylinder inside one layer of dielectric material. Using the developed algorithm it is shown that cloaks known from the literature work only for normal incidence. In the case of oblique incidence there is a great detoriation of radar cross section for increased angle of incidence. When angle of incidence is shifted for 20 or more degrees relative to the normal incidence, radar cross section for cloaked metal cylinder is larger then the radar cross section of bare metal. This means that cloaks from the literature work only for normal incidence of electromagnetic wave or for very small displacement from the normal incidence
Geometrijski opis utjecaja boÄnih ulica u modelu uliÄnog kanjona zasnovanog na metodi slijeÄenja zrake
In this paper, we present a geometrical description of some side street effects in a ray-tracing street canyon model. The introduction of side streets in a ray-tracing model results with the loss of some rays, and the street canyon model loses its strength. These effects are investigated using a 6-ray model. Simulation results are compared with the ITU-R P.1411-4 recommendation.U ovom radu prikazan je utjecaj boÄnih ulica na razdiobu polja u glavnoj ulici u modelu uliÄnog kanjona. UkljuÄenje boÄnih ulica u model, rezultira gubitkom odreÄenih zraka u glavnoj ulici, tj. gubitkom doprinosa modela uliÄnog kanjona na propagaciju. Utjecaj boÄnih ulica ispitan je u okviru modela 6 zraka. Rezultati simulacija usporeÄeni su s ITU-R P.1411-4 preporukom
Deep Learning Approach for Object Classification on Raw and Reconstructed GBSAR Data
The availability of low-cost microwave components today enables the development of various high-frequency sensors and radars, including Ground-based Synthetic Aperture Radar (GBSAR) systems. Similar to optical images, radar images generated by applying a reconstruction algorithm on raw GBSAR data can also be used in object classification. The reconstruction algorithm provides an interpretable representation of the observed scene, but may also negatively influence the integrity of obtained raw data due to applied approximations. In order to quantify this effect, we compare the results of a conventional computer vision architecture, ResNet18, trained on reconstructed images versus one trained on raw data. In this process, we focus on the task of multi-label classification and describe the crucial architectural modifications that are necessary to process raw data successfully. The experiments are performed on a novel multi-object dataset RealSAR obtained using a newly developed 24 GHz (GBSAR) system where the radar images in the dataset are reconstructed using the Omega-k algorithm applied to raw data. Experimental results show that the model trained on raw data consistently outperforms the image-based model. We provide a thorough analysis of both approaches across hyperparameters related to model pretraining and the size of the training dataset. This, in conclusion, shows how processing raw data provides overall better classification accuracy, it is inherently faster since there is no need for image reconstruction and it is therefore useful tool in industrial GBSAR applications where processing speed is critical