Circuit-slide-20

# Circuit-slide-20 - For a uniform plane wave with general...

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

For a uniform plane wave with general orientation , the direction of propagation is identified by the propagation vector , normal to the phase planes Considering the position vector we have the scalar dot product

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

View Full Document
Plane Waves in Arbitrary Directions ) cos( )) ) sin ( ) cos ( cos( )) sin cos ( cos( ) ' cos( sin cos ' z x t E z x t E z x t E z t E z x z z x o o o o β β ϖ θ β θ β ϖ θ θ β ϖ β ϖ θ θ - - = - - = + - = - + = z x Source is normal to z z ) cos( z t E o β ϖ - z x Source is normal to z’ z’ θ zsinθ θ z x xcos θ ) cos( z y x t E z y x o β β β ϖ - - - ) . cos( r t E o β ϖ - Arbitrary source Introduce propagation vector
For a uniform plane wave with general orientation , the direction of propagation is identified by the propagation vector , normal to the phase planes Considering the position vector we have the scalar dot product

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

View Full Document
The electromagnetic fields of a plane wave propagating along a general direction are on the phase plane perpendicular to the propagation vector and can be written as We have assumed propagation in a dielectric by giving the same phase to the fields . In addition
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern