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  • 1. Dalarsson, M.
    et al.
    Dalarsson, Nils
    Tensors, Relativity, and Cosmology2015 (ed. 2)Book (Other academic)
    Abstract [en]

    Tensors, Relativity, and Cosmology, Second Edition, combines relativity, astrophysics, and cosmology in a single volume, providing a simplified introduction to each subject that is followed by detailed mathematical derivations. The book includes a section on general relativity that gives the case for a curved space-time, presents the mathematical background (tensor calculus, Riemannian geometry), discusses the Einstein equation and its solutions (including black holes and Penrose processes), and considers the energy-momentum tensor for various solutions. In addition, a section on relativistic astrophysics discusses stellar contraction and collapse, neutron stars and their equations of state, black holes, and accretion onto collapsed objects, with a final section on cosmology discussing cosmological models, observational tests, and scenarios for the early universe.

  • 2.
    Dalarsson, Mariana
    et al.
    KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.
    Norgren, Martin
    KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.
    Dalarsson, Nils
    KTH.
    Jaksic, Z.
    Analytical approach to lossy wave propagation through a graded interface containing negative index material2011In: Int. Conf. Telecommun. Mod. Satell., Cable Broadcast. Serv., TELSIKS - Proc. Pap., 2011, p. 39-42Conference paper (Refereed)
    Abstract [en]

    The transmission and reflection properties of lossy structures involving left-handed materials with graded permittivity and permeability have been investigated. We present an exact analytical solution to Helmholtz' equation for a lossy case with the graded real parts of permittivity and permeability profile changing according to a hyperbolic tangent function along the direction of propagation. The simple analytical solutions and graphical results for the field intensity along the graded structure are presented. The model straightforwardly allows for arbitrary temporal dispersion. © 2011 IEEE.

  • 3.
    Dalarsson, Nils
    et al.
    KTH.
    Dalarsson, Mariana
    KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.
    Golubovic, Leonardo
    Introductory Statistical Thermodynamics2011Book (Other academic)
    Abstract [en]

    Elementary Statistical Thermodynamics is a text for an introductory one-semester course in statistical thermodynamics for upper-level undergraduate and graduate students in physics and engineering. The book offers a high level of detail in derivations of all equations and results. This information is necessary for students to grasp difficult concepts in physics that are needed to move on to higher level courses. The text is elementary, self contained, and mathematically well-founded, containing a number of problems with detailed solutions to help students to grasp the more difficult theoretical concepts. Beginning chapters place an emphasis on quantum mechanics Includes problems with detailed solutions and a number of detailed theoretical derivations at the end of each chapter Provides a high level of detail in derivations of all equations and results.

  • 4.
    Dalarsson, Nils
    et al.
    KTH, School of Electrical Engineering (EES).
    Dalarsson, Mariana
    KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.
    Tassin, P.
    Jaksic, Z.
    General analytical treatment of the graded interfaces with negative-index nanocomposites2009In: Proceedings of the International Conference Days on Diffraction, DD 2009, IEEE Press, 2009, p. 56-60Conference paper (Refereed)
    Abstract [en]

    We investigate the electrodynamics of structures incorporating nanocomposites with negative dielectric permittivity and magnetic permeability, the popular 'left-handed metamaterials'. We obtain analytical solutions to the Helmholtz equation for gradient-index interfaces between the positive and negative index part. We derive expressions for the field intensity as well as for the transmission- and reflection-coefficients, assuming that the graded region across the interface is smaller than the operating wavelength. We then compare the analytical results with the numerical results obtained by the Transfer Matrix Method (TMM). The model allows for arbitrary frequency dependencies and lossy media.

  • 5.
    Dalarsson, Nils
    et al.
    KTH, School of Engineering Sciences (SCI), Theoretical Physics.
    Maksimovic, M.
    Jaksic, Z.
    A simplified analytical approach to calculation of the electromagnetic behavior of left-handed metamaterials with a graded refractive index profile2007In: SCIENCE OF SINTERING, ISSN 0350-820X, Vol. 39, no 2, p. 185-191Article in journal (Refereed)
    Abstract [en]

    We investigated the spectral properties of a new class of nanostructured artificial composite materials with tailored electromagnetic response, i.e. negative refractive index materials, also known as "left-handed" metamaterials. We analyzed structures incorporating both ordinary positive index media and negative refractive index metamaterials where the interface may be graded to art arbitrary degree. Utilizing a modified version of the Rosen-Morse function, we derived analytical expressions for the field intensity and spectral reflection and transmission through a graded interface between positive and negative index materials. We compared our results to numerical solutions obtained using the transfer matrix technique.

  • 6. Jaksic, Z.
    et al.
    Sarajlic, M.
    Lazic, Z.
    Dalarsson, Mariana
    KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.
    Dalarsson, Nils
    KTH.
    Randjelovic, D.
    Radulovic, K.
    Tanaskovic, D.
    Gradient-index infrared metamaterials based on metal-dielectric submicrometer pillar arrays2013In: 2013 11th International Conference on Telecommunications in Modern Satellite, Cable and Broadcasting Services, TELSIKS 2013, IEEE , 2013, p. 21-24Conference paper (Refereed)
    Abstract [en]

    This paper presents the design and microfabrication of a two-dimensional metal-dielectric metamaterial structure based on an array of pillars with submicrometer diameters and heights. The diameters of pillars periodically vary along one axis in a sawtooth fashion and are constant along the other. The electromagnetic field distribution within this graded metamaterial was considered utilizing an accurate analytical approach. The pillar arrays were fabricated in photoresist and subsequently covered with a sputter-deposited aluminum film. Structures were defined by direct laser writing in photoresist film. Controlled overexposure has been applied in order to make pillar features smaller than the nominal resolution of the equipment. The structures were characterized by optical and atomic force microscopy and by angle-dependent Fourier Transform infrared spectroscopy. The produced graded frequency-selective surfaces may be used e.g. in sensing.

  • 7. Jakšić, Z.
    et al.
    Dalarsson, Nils
    KTH.
    Maksimović, M.
    Electromagnetic structures containing negative refractive index metamaterials2005In: TELSIKS 2005 - 7th International Conference on Telecommunications in Moderm Satellite, Cable and Broadcasting Services, Proceedings of Papers, 2005, p. 145-154Conference paper (Refereed)
    Abstract [en]

    We review different structures for microwave and optical range containing 'left-handed' metamaterials - artificial composites with simultaneously negative effective permittivity and permeability. Special attention is dedicated to their fundamentals, design strategies and main applications which include subwavelength resonant cavities, superlenses, etc.

  • 8. Tassin, P.
    et al.
    Dalarsson, Nils
    KTH.
    Dalarsson, Mariana
    KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.
    Jakšić, Z.
    Exact analytical treatment of the graded interfaces between positive and negative refractive index media2009In: 9th International Conference on Telecommunications in Modern Satellite, Cable, and Broadcasting Services, TELSIKS 2009 - Proceedings of Paper, IEEE , 2009, p. 143-146Conference paper (Refereed)
    Abstract [en]

    We investigated electrodynamics of structures incorporating composites with negative dielectric permittivity and magnetic permeability, the popular "left-handed metamaterials". We obtained the exact analytical solutions to the Helmholtz equation for gradient-index interfaces between the positive and negative index part in the special case of matched impedances of the two materials. We derived expressions for the field intensity and compared the analytical results with the corresponding results obtained by the numerical simulations using the Finite Element Method (FEM). The model allows for arbitrary spectral dispersion and lossy media.

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