In Section 4.3, we claim that in analyzing electromagnetic waves, we could handle the fiel...

In Section 4.3, we claim that in analyzing electromagnetic waves, we could handle the fields E and B together with complex numbers. Show that if we define an “electromagnetic field” G = E + icB, then the two of Maxwell’s equations that link E and B, (4-6c) and (4-6d), become just one

Electromagnetic waves would have to obey this complex equation. Does this change of approach make E and/or B complex? (Remember how a complex number is defined.)