EEE445_hw01sln

EEE445_hw01sln - EEE 445 Homework#1 Solutions 1.1 Assume that an infinite sheet of electric surface current density x J J s ˆ A/m is placed on the

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: EEE 445 Homework #1 Solutions 1.1 Assume that an infinite sheet of electric surface current density x J J s ˆ A/m is placed on the z = 0 plane between free-space for z < 0, and a dielectric with r for z > 0, as shown below. Find the resulting E and H fields in the two regions. HINT: Assume plane wave solutions propagating away from the current sheet, and match boundary conditions to find the amplitudes, as in Example 1.3. Solution: For region 1 ( z <0 ), we have 1 1 k k For region 2 ( z > 0), we have 2 2 k k r r Following Example 1.3, we assume for z <0, z jk z jk Ae y H e A x E ˆ ˆ 1 1 and for z > 0, 2 2 ˆ ˆ r r j k z r j k z E x B e H y B e The boundary conditions at z = 0 are: (1) ˆ 1 2 E E z , or A B B A r r (2) x J H H z ˆ ˆ 1 2 , or J A B Solving for A and B , we obtain 1 1 r r r J B J A Notice that for 1 r , we reproduce the solution of Example 2.3. 1.9 Consider a plane wave propagating in a lossy dielectric medium for z < 0, with a perfectly conducting plate at z = 0. Assume that the lossy medium is characterized by 2 5 j , , and that the frequency of the plane wave is 1.0 GHz, and let the amplitude of the incident electric field be 4 V/m at z = 0. Find the reflected electric field for z < 0, and plot the magnitude of the total electric field for 5 . z ....
View Full Document

This note was uploaded on 12/14/2010 for the course EEE 445 taught by Professor Georgepan during the Fall '10 term at ASU.

Page1 / 7

EEE445_hw01sln - EEE 445 Homework#1 Solutions 1.1 Assume that an infinite sheet of electric surface current density x J J s ˆ A/m is placed on the

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online