how to solve the problem

2. A plane wave field E = 2sin(wt 8z) v m is propagating in vacuum in +z direction and is incident on z = 0 plane which happens to be the boundary of a perfect dielectric having permittivity 2.56, and permeability 4, in the region z 0. Calculate: a) The reflected and transmitted electric fields in terms of reflection and transmission coefficients T= a and 7 = 1+T for the described interface. Express the fields in phasor form. b) The incident, reflected, and transmitted H fields in A/m units. Express the fields in phasor form. c) The time-average power per unit area transported by the incident, reflected, and transmitted waves in W/m? units. Are the calculations compatible with energy conservation principle? Explain. d) Reflectance ||? expressed in dB units. What would be the physical significance of reflectance? Hint: think of it as a fraction