טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentShapira Osher
SubjectImplementation of Electromagnetic Induction in Finite
Rectangular Loops for Self Alignment and
Levitation
DepartmentDepartment of Mechanical Engineering
Supervisor Professor David Elata
Full Thesis textFull thesis text - English Version


Abstract

The three dimensional integration (3D integration) approach used in microelectronics is the stacking of many two-dimensional elements. 3D integration results in more compact devices and improves performance by shortening interconnects. Accurate alignment of 2D components is essential for 3D integration. In this research, the possibility of using electromagnetic repulsion forces between current-carrying finite rectangular loops for implementing self alignment and levitation is discussed and considered. Specifically, we consider the possibility of using a time-varying external magnetic flux to induce the necessary currents. Analytic expressions for the currents induced in the three rectangular loops while they are subjected to a uniform time varying magnetic flux are derived. In addition, we determine the frequency of the external field that yields the highest currents. A new analytic expression for the mutual inductance valid for two finite conducting rectangles is derived. In addition, we derive analytic expressions for the resultant force utilized for self alignment and levitation. Using these expressions, the conditions for the stability of the system, after the alignment process is accomplished, are derived and discussed.