# Lec18 - Wave Equations(I UCF likewise UCF Wave Equations(II...

This preview shows pages 1–5. Sign up to view the full content.

CF Wave Equations (I) UCF likewise

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

View Full Document
CF Wave Equations (II) UCF
CF Scalar Wave Equation UCF q 0 : equation ector wave Consider v 2 2 2 = t με E E uation alar wav tisfy ould eld ectric f mponent ch hen s, coordinate r rectangula In 2 2 2 2 + + = z z y y x E E E a a a x E 1 have we , or or either represent Let equation. e scalar wav satisfy should field electric of component each Then u z y x E E E 0 , 0 = = y x equation. wave 3D a is This . 1 where 0 2 2 = = v u v u p z have we , 0 and 0 or only, z on depends that Assume = = u u u p equation e scalar wav 1D 0 1 2 2 2 2 2 = t u v z u y x p

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

View Full Document
CF General Solution to 1D Scalar Wave Equation UCF 0 1 : equation e scalar wav 1D For 2 2 2 2 2 p t u v z u = ). ( ) ( ) , ( : is solution general the p p v z t g v z t f t z u + + = : solution a is ) ( Prove p v z t f 1 . 1 and 1 have we , Let p p u u u u u u t v z v z t = = = ξ 1 1 , 2 2 2 2 p u u u u u u t t v z z
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 11/20/2011 for the course EEL 3740 taught by Professor Wu during the Fall '11 term at University of Central Florida.

### Page1 / 12

Lec18 - Wave Equations(I UCF likewise UCF Wave Equations(II...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online