PH4103 : Electricity and Magnetism III (Autumn 2012) | Academic Portal of IISER Kolkata

Details of PH4103 (Autumn 2012)

Level: 4

Type: Theory

Credits: 3.0

Course Code	Course Name	Instructor(s)
PH4103	Electricity and Magnetism III	Prasanta K. Panigrahi

Syllabus
The vector nature of electromagnetic radiation. Polarization of radiation. The description of polarization Stoke's parameters and the Poincare sphere. The continuity condition on electromagnetic fields across an interface. The reflection and transmission of electromagnetic waves across a dielectric interface. Fresnel's equations. Propagation of electromagnetic waves in an electrically anisotropic medium (uniaxial and biaxial crystals). Optical rotatory power and Faraday rotation. The Jone's matrix method. Propagation of electromagnetic waves in a conducting medium. The optical constants of metals. The Lorentz model of conductivity. Wave guides and resonant cavities. Propagation of transverse waves in a perfectly conducting fluid. Alfven waves. Langmuir's definition of a plasma. Plasma frequency. Pinch effect. The eikonal approximation and geometrical optics. The matrix method of geometrical optics. Optical imaging and Gaussian optics. Aberration. Measures of coherence. Interference of two and multiple beams. Interferometers. The Huygens-Fresnel theory of diffraction. Kirchoff's integral theorem and diffraction. The Fraunhoffer and Fresnel limits of diffraction. Fraunhoffer diffraction from a rectangular and circular apertures. Diffraction gratings. Abbe's theory of image formation in a microscope. Fresnel's integrals and the Cornu spiral. Fresnel diffraction from a straight edge. Nonlinear optics. Optical second harmonic generation. Other second order processes. Quasi-phase matching. Third order nonlinear optical processes. Stimulated Brillouin scattering. Four wave mixing and phase conjugation. Scattering from inhomogeneous media. First order Born approximation. Multiple scattering.

Syllabus

The vector nature of electromagnetic radiation. Polarization of radiation. The description of polarization Stoke's parameters and the Poincare sphere.

The continuity condition on electromagnetic fields across an interface. The reflection and transmission of electromagnetic waves across a dielectric interface. Fresnel's equations.

Propagation of electromagnetic waves in an electrically anisotropic medium (uniaxial and biaxial crystals). Optical rotatory power and Faraday rotation. The Jone's matrix method.

Propagation of electromagnetic waves in a conducting medium. The optical constants of metals. The Lorentz model of conductivity. Wave guides and resonant cavities.

Propagation of transverse waves in a perfectly conducting fluid. Alfven waves. Langmuir's definition of a plasma. Plasma frequency. Pinch effect.

The eikonal approximation and geometrical optics. The matrix method of geometrical optics. Optical imaging and Gaussian optics. Aberration.

Measures of coherence. Interference of two and multiple beams. Interferometers.

The Huygens-Fresnel theory of diffraction. Kirchoff's integral theorem and diffraction. The Fraunhoffer and Fresnel limits of diffraction. Fraunhoffer diffraction from a rectangular and circular apertures. Diffraction gratings. Abbe's theory of image formation in a microscope. Fresnel's integrals and the Cornu spiral. Fresnel diffraction from a straight edge.

Nonlinear optics. Optical second harmonic generation. Other second order processes. Quasi-phase matching. Third order nonlinear optical processes. Stimulated Brillouin scattering. Four wave mixing and phase conjugation.

Scattering from inhomogeneous media. First order Born approximation. Multiple scattering.

References
L.. D. Landau and E. M. Lifschitz, Course on theoretical physics Vol. 2 : Classical theory of Fields, Butterworth-Heinemann, London (1998). L.. D. Landau and E. M. Lifschitz, Course on theoretical physics Vol. 8 : Electrodynamics of continuous media, Butterworth-Heinemann, London (1984). J. D. Jackson, Classical Electrodynamics, John Wiley and Sons (1975). W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism, Dover Publications (2005) H. C. Ohanian, Classical Electrodynamics, Infinity Science Press(2007). M. Born and E. Wolf, Principles of optics 7th Ed. Cambridge University Press, Cambridge (1999). S. G. Lipson, H. Lipson and D. S. Tannhauser, Optical Physics, Cambridge University Press (1995). A. Yariv and P. Yeh, Photonics - Optical Electronics in Modern Communications 6th Ed., Oxford University Press, Oxford (2007). A. Das, Lectures on electromagnetism, Rinton Press (2004).

References

L.. D. Landau and E. M. Lifschitz, Course on theoretical physics Vol. 2 : Classical theory of Fields, Butterworth-Heinemann, London (1998).
L.. D. Landau and E. M. Lifschitz, Course on theoretical physics Vol. 8 : Electrodynamics of continuous media, Butterworth-Heinemann, London (1984).
J. D. Jackson, Classical Electrodynamics, John Wiley and Sons (1975).
W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism, Dover Publications (2005)
H. C. Ohanian, Classical Electrodynamics, Infinity Science Press(2007).
M. Born and E. Wolf, Principles of optics 7th Ed. Cambridge University Press, Cambridge (1999).
S. G. Lipson, H. Lipson and D. S. Tannhauser, Optical Physics, Cambridge University Press (1995).
A. Yariv and P. Yeh, Photonics - Optical Electronics in Modern Communications 6th Ed., Oxford University Press, Oxford (2007).
A. Das, Lectures on electromagnetism, Rinton Press (2004).

Course Credit Options

Sl. No.	Programme	Semester No	Course Choice
1	IP	1	Not Allowed
2	IP	3	Not Allowed
3	MS	7	Not Allowed
4	RS	1	Not Allowed

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Details of PH4103 (Autumn 2012)

Course Credit Options