Wave Optics
Indian Institute of Technology, Kharagpur and NPTEL via Swayam
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Overview
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ABOUT THE COURSE: The course offers a profound understanding of the wave nature of light. This self-contained course begins with useful preliminaries related to the wave propagation and electromagnetic theory of light. Then the fundamental concept of various phenomenon like diffraction, interference and polarization will be developed gradually from scratch with detailed mathematical derivation. The course will be useful for UG students studying Physics.INTENDED AUDIENCE: B.Sc, B.Tech, B.Ed.PREREQUISITES: 1. Basic Electrodynamics2. Elementary Mathematics
Syllabus
Week 1: Basics concepts: Wave propagation, Wave equation and its solution, Maxwell’s wave equation, Plane wave solution, Spherical and cylindrical waves-a full mathematical descriptions.
Week 2:Superposition of waves, Standing and propagation waves, Superposition of waves with different frequency: Beat formation, Concept of wave-packet, group and phase velocity
Week 3:Material Dispersion, Group delay, Concept of coherence: Temporal and Spatial, Light interference, outline of double slit experiment, Amplitude splitting interference
Week 4:Multiple beam interference, Michelson interferometer, Febry-Perot interferometer, Newtons Rings
Week 5:Diffraction of light, The Huygens-Fresnel Principle, Kirchhoff’s diffraction theory, Fraunhofer and Fresnel type diffraction
Week 6:Diffraction calculations: Single slit, Double slits, multiple slits, Rectangular aperture
Week 7:Diffraction from circular aperture, Airy disc, Resolving power of different instruments.
Week 8:Fresnel Diffraction: Fresnel half period zones, Circular aperture and Vibration spiral, Straight slit, Fresnel’s integrals and Cornu spiral. Fresnel diffraction at a straight edge.
Week 9:Concept of polarization: Linear, circular and elecptic polarization, Polarisation by reflection and refraction, Polarisation of scattered light.
Week 10:Malus’s Law, Dichroic polarisers. Birefringence, Uniaxial and Biaxial crystals, O-ray and E-ray
Week 11:Velocity ellipsoids, Nicol prism, Babinet’s Compensator, Optical activity.
Week 12:Mathematical Description of polarization: The Stokes parameter, Jones matrix formalism and problems. Practical applications of the wave optics
Week 2:Superposition of waves, Standing and propagation waves, Superposition of waves with different frequency: Beat formation, Concept of wave-packet, group and phase velocity
Week 3:Material Dispersion, Group delay, Concept of coherence: Temporal and Spatial, Light interference, outline of double slit experiment, Amplitude splitting interference
Week 4:Multiple beam interference, Michelson interferometer, Febry-Perot interferometer, Newtons Rings
Week 5:Diffraction of light, The Huygens-Fresnel Principle, Kirchhoff’s diffraction theory, Fraunhofer and Fresnel type diffraction
Week 6:Diffraction calculations: Single slit, Double slits, multiple slits, Rectangular aperture
Week 7:Diffraction from circular aperture, Airy disc, Resolving power of different instruments.
Week 8:Fresnel Diffraction: Fresnel half period zones, Circular aperture and Vibration spiral, Straight slit, Fresnel’s integrals and Cornu spiral. Fresnel diffraction at a straight edge.
Week 9:Concept of polarization: Linear, circular and elecptic polarization, Polarisation by reflection and refraction, Polarisation of scattered light.
Week 10:Malus’s Law, Dichroic polarisers. Birefringence, Uniaxial and Biaxial crystals, O-ray and E-ray
Week 11:Velocity ellipsoids, Nicol prism, Babinet’s Compensator, Optical activity.
Week 12:Mathematical Description of polarization: The Stokes parameter, Jones matrix formalism and problems. Practical applications of the wave optics
Taught by
Prof. Samudra Roy