Ch3Sec5 - THE FIBER FORUM Fiber Optic Communications JOSEPH...

Info iconThis preview shows pages 1–9. 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

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight 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: THE FIBER FORUM Fiber Optic Communications JOSEPH C. PALAIS PRESENTED BY Joseph C. Palais 3.5 2 Section 3.5 REFLECTION AT A PLANE BOUNDARY Consider normal incidence of light at a boundary. This is referred to as Fresnel Reflection . n 1 n 2 Incident Wave Transmitted Wave Reflected Wave Reflection Coefficient: field electric incident field electric reflected = Boundary Joseph C. Palais 3.5 3 Reflection at a Plane Boundary We will prove this starting on the next page. 2 1 2 1 n n n n +- = The result is: Reflection Coefficient Joseph C. Palais 3.5 4 Reflection at a Plane Boundary Proof: x n 1 n 2 H i H r E i E r z E t H t x (1) 1 1 1 = 2 2 2 = (2) Intrinsic impedances: Joseph C. Palais 3.5 5 Reflection at a Plane Boundary Assume non-magnetic materials, then the permeability and permittivity are: 2 2 1 1 2 2 1 1 2 1 n k k n k k n n r = = = = = = = (3) Joseph C. Palais 3.5 6 Reflection at a Plane Boundary z jk r r z jk r r z jk i i z jk i i e E H e E E e E H e E E 1 1 1 1 1 1 1 1 1 1 = = = =-- Incident Wave Reflected Wave (4) (5) Joseph C. Palais 3.5 7 Reflection at a Plane Boundary 2 2 2 2 2 1 1 2 jk z jk z t t t t i r t i r t E E E e H e E E E or E E E -- = = + = + = Transmitted Wave Apply the boundary conditions: E and H are continuous at the boundary. Thus at z = 0, (6) (7) Joseph C. PalaisJoseph C....
View Full Document

This note was uploaded on 05/11/2010 for the course EEE EEE-448 taught by Professor Palais during the Fall '09 term at ASU.

Page1 / 24

Ch3Sec5 - THE FIBER FORUM Fiber Optic Communications JOSEPH...

This preview shows document pages 1 - 9. Sign up to view the full document.

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