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Computational Geometry Problems in Black Box Model
, M.Sc. Thesis Sharif University of Technology ; Zarei, Alireza (Supervisor)
Abstract
Moving data is becoming more and more important in different areas such as air traffic control, mobile communications, geographical information systems, GPS and other advanced technologies. In most cases, the path trajectory of such moving data is not known in advance. Moreover, they can change the direction and their speed of motion. Recently, a moving model, called black box model, has been proposed for such environments. In this model, there is a sequence of time stamps in which the position of each object is reported and the maximum displacement of each object in a time step is bounded by a known constant, dmax. In this thesis, we use this model to solve some computational...
A Formulation for the Characteristic Lengths FCC in First Gradient Elasticity Via Sutton-Chen Potential
, M.Sc. Thesis Sharif University of Technology ; Mohammadi Shoja, Hossein (Supervisor)
Abstract
The usual continuum theories are inadequate in predicting the mechanical behavior of solids in presence of small defects and stress concentrators; it is well known that such continuum methods are unable to detect the change of the size of the inhomogeneities and defects. For these reasons various augmented continuum theories and strain gradient theories have been proposed in the literature. The major difficulty in implication of these theories lies in the lack of information about the additional material constants. For fcc metals, for calculation of the associated characteristic lengths which arise in first strain gradient theory, an ...
Calculation of the additional constants for fcc materials in second strain gradient elasticity: Behavior of a nano-size bernoulli-euler beam with surface effects
, Article Journal of Applied Mechanics, Transactions ASME ; Volume 79, Issue 2 , 2012 ; 00218936 (ISSN) ; Ahmadpoor, F ; Tehranchi, A ; Sharif University of Technology
2012
Abstract
In addition to enhancement of the results near the point of application of a concentrated load in the vicinity of nano-size defects, capturing surface effects in small structures, in the framework of second strain gradient elasticity is of particular interest. In this framework, sixteen additional material constants are revealed, incorporating the role of atomic structures of the elastic solid. In this work, the analytical formulations of these constants corresponding to fee metals are given in terms of the parameters of Sutton-Chen interatomic potential function. The constants for ten fcc metals are computed and tabulized. Moreover, the exact closed-form solution of the bending of a...
Ab initio calculations of characteristic lengths of crystalline materials in first strain gradient elasticity
, Article Mechanics of Materials ; Volume 61 , 2013 , Pages 73-78 ; 01676636 (ISSN) ; Zaheri, A ; Tehranchi, A ; Sharif University of Technology
2013
Abstract
Incorporation of the first gradient of strain, in addition to the strain itself, into the strain energy density of an elastic solid leads to Mindlin's first strain gradient theory, which is useful for examination of size effect as well as other mechanical phenomena at the nano-scale. For isotropic elastic solids, the first strain gradient theory, in addition to the two independent Lamé constants, gives rise to five new material constants which in turn reduce to two material parameters, ℓ1 and ℓ2 with dimension of length. The evaluation of these parameters, however, has posed serious challenges, both experimentally and theoretically. In this work ab initio method is used to compute the...
Quantum Communications with Structured Light
, M.Sc. Thesis Sharif University of Technology ; Bahrampour, Alireza (Supervisor) ; Farman, Farnaz (Co-Supervisor)
Abstract
Orbital angular momentum (OAM)and the radial quantum number (p) in infinite-dimensional Hilbert space are two degrees of freedom of light which are associated with the spatial distribution of the electromagnetic field. They are attracting a growing interest for their potential in communication applications ranging from classical communication to fundamental tests of quantum mechanics,quantum communication and quantum cryptography. However, a third party trying to eavesdrop information from communication channel and treat channel security , quantum cryptography or quantum key distribution (QKD) is the secure communication method which is based on the quantum mechanical principles can...
Angular Momentum Compensation and Sorting of Optical Modes in Optical Fiber
, Ph.D. Dissertation Sharif University of Technology ; Bahrampour, Alireza (Supervisor) ; Farman, Farnaz (Supervisor)
Abstract
Electromagnetic field modes have several degrees of freedom, including polarization, orbital angular momentum, and radial order, which can be described by orthogonal modes. By using all the degrees of freedom in communication, the channel capacity can be increased dramatically. With the aim of increasing the capacity and correcting the errors created along the optical fiber, two important issues have been addressed in this thesis. First, the states propagated in the fiber may be disrupted by many unwanted factors and may not be transmitted correctly. Therefore, measures should be taken to minimize the impact of these factors as much as possible or to compensate for their effects. In the...
Detection of High Frequency Oscillations from ECoG Recordings in Epileptic Patients
, M.Sc. Thesis Sharif University of Technology ; Hajipour, Sepideh (Supervisor) ; Sinaei, Farnaz (Co-Supervisor)
Abstract
The processing of brain signals, including the electrocorticogram (ECoG) signal, is widely used in the investigation of neurological diseases. Conventionally, the ECoG signal has frequency components up to the range of 80 Hz. Studies have proven that in some conditions, such as epilepsy, the brain signal includes frequency components higher than 80 Hz, which are called high-frequency oscillations (HFO). Therefore, HFOs are recognized as a biomarker for epilepsy. The aim of this thesis is to review the previous methods of detecting HFOs and to present new methods with greater efficiency in the direction of diagnosis or treatment of epileptic patients. For this purpose, we used the ECoG data...
Optimizing the Balance Between Resolution, Field-of-View and Depth-of-field in Three-dimensional Imaging
, Ph.D. Dissertation Sharif University of Technology ; Mehrany, Khashayar (Supervisor) ; Bagheri, Saeed (Supervisor) ; Massoumian, Farnaz (Co-Advisor)
Abstract
In this thesis a rigorous approach toward systematic quantification of qualitative fea-tures in a three-dimensional (3D) integral imaging is proposed. Incorporating the concepts of sampling rays and sampling points, the first approach is based on geo-metrical optics and quantifies the lateral and depth resolutions of the system within the field-of-view (FOV) and depth-of-field (DOF). The obtained results are justified through experiments. In the next step, the principals of wave optics are employed to measure the lateral and depth resolutions of the system. To this end, the concept of point-spread function is generalized to three-dimensional imaging systems. Through this systematic approach the...