The course begins with an exposition to a complete characterization of Scattering Matrix Parameters.Thereafter, Maxwell’s Equations in both instantaneous and time-harmonic forms are covered. The treatment is extended to analyze the Power Conservation for both instantaneous and time-harmonic fields. Next, the wave equation in a homogeneous medium and radiated fields from a current source in a homogenous medium is analyzed in terms of vector and scalar magnetic / electric potentials. The phenomenon of reflection and transmission of waves at conducting and dielectric interfaces for normal and oblique incidences is studied. A thorough characterization of the rectangular waveguide follows in terms of modes of propagation, power flow, power dissipation, followed by the treatment of the rectangular resonator. A discussion of the reciprocity concept leads to the evaluation of modes excited by a current source in a waveguide. A treatment of related guided structures including hybrid guides follows. The cylindrical wave function is introduced which is used to analyze propagation characteristics in circular guides and the circular cavity.INTENDED AUDIENCE :Teachers from Colleges / Institutions / Universities / Research Scholars /Undergraduate and Post-Graduate Students / Industry ProfessionalsINDUSTRY SUPPORT : ISRO, DRDO, BEL, SAMEER, Astra Microwave, Qualcomm, Intel, Ansys, Wipro, Keysight Technology, Agilent, Anritsu, WiPL-D, Altair Engineering, Mistral Solutions Pvt. Ltd, Verdant Telemetry and Antenna Systems, Data Patterns, Syratron Technologies Pvt Ltd.
Week-1: Scattering Matrix Concepts Week-2: Instantaneous form of Maxwell’s equations : Differential and Integral forms, Generalized Current Concept, Poynting
Vector and Conservation of Power
Week-3: Time Harmonic form of Maxwell’s equations : Poynting Vector and Conservation of Power Week-4:Wave Equation and Solution, Relation between Wavenumbers in a Homogeneous Medium, Radiation from an Electric Current Source in a Homogeneous Medium
Week-5:Radiation from a Magnetic Current Source in aHomogeneous Medium and its application to the Green'sfunction computation for electromagnetic field problems Week-6:Rectangular Waveguide I : Solution to the TM to z and TE to z Modes from the z-directed Magnetic and Electric Vector Potentials, Potential Functions in the Rectangular Waveguide, Cut-off Frequency, Dominant Mode, Propagation and Attenuation Constants
Week-7: Rectangular Waveguide II : Characteristic Impedances of TE to z and TM to z Modes, Computation of Power Flow,
Computation of Power Dissipation on Waveguide Walls
Week-8: Rectangular Cavity Resonator : Potential Functions of TM and TE modes for the Cavity, Resonant Frequency, Field Computation in the Cavity, Computation of Stored Energy and Quality Factor.
Week-9: The Reciprocity Theorem, Computation of Amplitudes of Forward and Backward Propagating Waves for Electric and Magnetic Current Sources in the Waveguide Week-10: Analysis of Guided Structures : Partially-Filled Rectangular Waveguide, Dielectric Slab Guide, Non-Radiating Dielectric Guides Week-11: Cylindrical Wave Functions, TE and TM modes in Circular Waveguides : Potential Functions in the Circular Waveguide, Cut-off Frequency, Propagation Constant, Circular Cavity Week-12: Application to the Coupling Problem : Aperture-Coupled, Probe-Coupled and Waveguide Coupled structures.