Describe the principle of guided wave propagation in a rectangular waveguide. Derive the expression for the cut-off frequency of modes in terms of waveguide dimensions.
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Obtain the Larmor formula for the total radiated power of a non-relativistic accelerating charge and explain its significance.
Write Maxwell's equations in both differential and integral forms. Explain the physical significance of the displacement current in Maxwell's modification of Ampere's law.
Describe the principle of guided wave propagation in a rectangular waveguide. Derive the expression for the cut-off frequency of modes in terms of waveguide dimensions.
Explain the Lorentz transformation between two inertial frames. Obtain the transformation laws for the electric and magnetic fields.
Derive the electromagnetic wave equation for and
fields in vacuum starting from Maxwell's equations. Discuss the general properties of plane electromagnetic waves, including their speed and polarisation.
Dispersion of electromagnetic waves in a medium.
Show that if the electric field of the incident wave is normal to the plane of incidence, the electric fields of the reflected and transmitted waves are also normal to the plane of incidence.