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PAPER III: ELECTROMAGNETIC THEORY AND OPTICAL PHYSICS

Unit I
: Electrostatics Potential and Field due to an Electric Dipole-Dielectric Polarization-External Field of a Dielectric Medium-Guass’ Theorem in a Dielectric-Electric Displacement Vector D-Linear Dielectrics-Relations connecting Electric Susceptibility ÷e, Polarization P, Displacement D and Dielectric Constant-Boundary Conditions of Field Vectors. Molecular Field-Clausius Mosotti Relation for Non-Polar Molecules-Langevin Debye Formula for Polar Molecules, Electrostatic Energy and Energy Density Magnetostatics: Biot-Savart Law- Statement-Lorentz Force Law and Definition of B-General Proof of Ampere’s Circuital Law-Divergence and Curl of B-Magnetic Scalar Potential (derivation of expression only)-Equivalence of Small Current Loop and Magnetic Dipole-Magnetic Vector Potential (derivation of expression only).

Unit II
: Field Equations Equation of Continuity-Displacement Current-Derivation of Maxwell’s Equations- Physical Significance-Poynting Vector-Momentum in EM Field-Electro Magnetic Potentials- Maxwell’s Equations in terms of EM Potentials-Lorentz Gauge-Coulomb Gauge-Radiation Produced by a Low Velocity Accelerated Charged Particle(Larmor’s Formula)-Oscillating Electric Dipole-Radiation due to a Small Current Element-Linear Half Wave Antenna Interaction of EMW with Matter: Boundary Conditions at Interfaces-Reflection and Refraction-Fresnel’s Laws-Brewster’s Law & Degree of Polarization-Total Internal Reflection and Critical Angle-Reflection from a Metal Surface-Wave Guides-Rectangular Wave Guide

Unit III
: Scattering of EMW Scattering and Scattering Parameters-Scattering by a Free Electron (Thomson Scattering)-Scattering by a Bound Electron (Rayleigh Scattering)-Dispersion in Gases-Normal and Anomalous Dispersion in Liquids and Solids. Coherence and Interference Theory of Partial Coherence-Coherence Time and Coherence Length-Spectral Resolution of a Finite Wave Train-Coherence and Line Width-Spatial Coherence-Extended Sources- Measurement of Stellar Diameter-Hanbury Brown Twiss Intensity Interferometry-Fabry Perot Interferometer-Theory of Multi Layer Films.

Unit IV
: Optics of Solids General Wave Equation-Propagation of Light in Conducting Media-Reflection and Refraction at the Boundary of an Absorbing Medium-Propagation of Light in Crystals-Double Refraction at a Boundary-Optical Activity-Faraday Rotation in Solids-Magneto Optic and Electro Optic Effects. Optical Fibres: Propagation of Light in an Optical Fibre-Acceptance Angle-Numerical Aperture-Step and Graded Index Fibres-Fibre Fabrication Techniques-Optical Fibre as a Cylindrical Wave Guide- Wave Guide Equations-Wave Equations in Step Index Fibres-Flow of Power in SI Fibres-Fibre Losses and Dispersion-Applications.

Unit V
: Lasers Characteristics of Laser Light-Atomic Basis for Laser Action-Laser Pumping-Creating a Population Inversion-Laser Resonator-Single Mode Operation-Q Switching-Mode Locking- Helium-Neon Laser-Argon Ion Laser-Carbon dioxide Laser-Solid State Lasers-Semiconductor Laser-Applications.

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