Homework
9.9 - Monochromatic plane wave exercises
9.10 - Pressure due to sunlight
9.11 - Power in complex notation
H1.1 - Given that curl E = - dB/dt, together with Maxwell's other equations, is it true that for time-varying fields E is always perpendicular to B? Explain, and if appropriate give counter-examples.
H1.2 - The electric field of a monochromatic plane wave (MPW) with wavevector k is the real part of E = (Ai + Bj)exp i(k.r - wt), where i and j are perpendicular unit vectors perpendicular to k and A and B are complex constants. Find the most general relationship between A and B in each of the following cases: (i) a linearly polarized wave, (ii) a circularly polarized wave, and (iii) an elliptically polarized wave. In each case, draw a diagram indicating the variation of the magnitude and direction of the electric and magnetic fields with time t in a fixed plane perpendicular to k.
H1.3 - Explain why the MPWs form a complete set of orthogonal basis functions for the wave equation (see discussion before problem 9.4), and what this means. Can you give another example of a complete set of orthogonal basis functions?

Examples Class
Review of Maxwell's equations

Bonus
9.32 - Inversion theorem
9.33 - Spherical wave