{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

set3solution

# set3solution - ECE 222B Winter 2010 Solution to Homework...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ECE 222B, Winter 2010 Solution to Homework Set 3 1. A plane wave in medium 1 is incident on an interface (at z = 0) with medium 2 with an angle of incidence θ i . (See Figure 5-2 in Balanis for the geometry of the problem). The permittivity and permeability are varepsilon 1 and mu in region 1, and ε 2 and μ in region 2. Both permit- tivities are real (ideal media). The incident wave is circularly polarized and the incident electric field can be written as ~ E i ( x,z ) = E A (ˆ x + j ˆ y )exp h- j ~ β i · ~ r i , where E A is a constant and ˆ x = cos θ i ˆ x- sin θ i ˆ z. If the wave is incident upon the surface at the Brewster angle, what is the fraction of power transmitted? Solution: First, decompose the wave into two waves with perpendicular and parallel polarization. Since the angle of incidence is the Brewster angle, only the perpendicular polarization (with electric field pointing in the y direction) will be partially reflected. The parallel polarization (with field in the x-z plane) will be totally transmitted. For the perpendicular polarization, the incident electric field is ~ E i ⊥ ( x,z ) = jE A ˆ y exp h- j ~ β i · ~ r i , with reflection coefficient (equation 5-17a in the textbook)...
View Full Document

{[ snackBarMessage ]}

### Page1 / 4

set3solution - ECE 222B Winter 2010 Solution to Homework...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online