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E&M Fundamentals Review Objectives today: Wave Fundamentals Poynting’s Relationship for E&M Propagation Using WolframAlpha for Computations Basics of E&M Wave Polarization Linear Elliptical Circular Parametric Plotting with WAlpha

Transcript

E&M Fundamentals Review

Objectives today:

Wave Fundamentals

Poynting’s Relationship for E&M Propagation

Using WolframAlpha for Computations

Basics of E&M Wave Polarization

Linear

Elliptical

Circular

Parametric Plotting with WAlpha

Page 2: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Plane Waves

Page 3: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Plane Waves

Page 4: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Plane Waves

Page 5: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Plane Waves

Page 6: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Plane Waves: Helmholtz Wave Equation

Page 7: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Plane Waves: Solutions

Page 8: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Plane Waves: Poyntings Relationships

Page 9: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Plane Waves: Impedance

Page 10: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Example Calculation

Page 11: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

WolframAlpha

Page 12: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Page 13: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

WolframAlpha Website

Page 14: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Example Calc - Continued

Page 15: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Plane Waves: Power Flow

Page 16: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Plane Waves: Power Flow

Page 17: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Wave Polarization

Page 18: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Linear Polarization

Page 19: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Linear Polarization

Page 20: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Elliptical and Circular Polarization

Page 21: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Circular Polarization

Page 22: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Elliptical and Circular Polarization

Page 23: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Elliptical Polarization

Page 24: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Page 25: E&M Fundamentals Reviewhomepages.wmich.edu/~johnson/ece5950/PDF/May 12 ECE5950.pdfApplied Electromagnetics: Wentworth 11/26/07, (a) = — (b) 1-1+ H a + joc where ap IS In the direction

Elliptical Polarization

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