Waves and Vibrations
Free Vibrations: Simple harmonic oscillations (SHO), Energy of SHO, Superposition of two SHO in 1-D and 2-D, Beats, Lissajues Figures. Damped Vibrations: Light, Critical and Heavy Damping, Amplitude decay, log dec., Energy loss. Forced Vibrations: Transient and steady state behaviours, Amplitude, Velocity and Power Resonance, Q value, bandwidth. Vibration insulation. Non-linear oscillations. Coupled Oscillators: Normal Modes, Resonance, N Coupled Oscillators. Waves: Displacement, Intensity, wave front, Superposition. Wave Phenomena: The Doppler effect, Dispersion, Particle, Phase and Group velocities, Beats. Amplitude and Frequency modulations. Transverse and Longitudinal Waves: Wave equations, Characteristic impedances, Reflection and transmission, Impedance matching, and Energy Propagation, Ripple tank. Intensity and pressure amplitudes. Waves in transmission lines, Coaxial cables. Fourier analysis.
Optics
Reflection and refraction at spherical surfaces, Prisms, Dispersion, Thin lenses, Lens makers formula, Compound lenses, Thick lenses and lens formula, Aberration, Optical instruments. Hygen’s Principle. Interference of Light; Concept of Optical Path, Young’s Double Slit Experiment. Fresnel’s Biprism. Lloyd’s Mirror. Interference Involving Multiple Reflections. Formation of Newton’s Rings. Nonreflecting Films. Interferometers. Fraunhofer Diffraction; Single Slit, Double Slit, Diffraction Grating, Circular Aperture. Chromatic Resolving Power. Fresnel Diffraction; Fresnel’s Half-Period Zones, Vibration Curve, Circular Aperture, Circular Obstacle. Zone Plate. Cornu’s Spiral. Fresnel’s Integrals. Polarization of Light; Polarisation by Dichroic Crystals, Double Refraction, Interference and Analysis of Polarised Light. Lasers; Resonance Radiation. Production of Laser Light. Holography. Applications of Lasers.