Electromagnetism - University of Manchester

16
Electromagnetism PHYS20141 Paul.Campbell-3@manchester.ac.uk Schuster 4-11

Transcript of Electromagnetism - University of Manchester

Page 1: Electromagnetism - University of Manchester

Electromagnetism PHYS20141

[email protected]

Schuster 4-11

Page 2: Electromagnetism - University of Manchester

PHYS20141 Electromagnetism2

Week 11

- EM waves in the presence of current

- Good conductors and skin depth

- Plasma

- Reflection of EM waves at a perfect conductor

Page 3: Electromagnetism - University of Manchester

Maxwell’s equations

PHYS20141 Electromagnetism3

Page 4: Electromagnetism - University of Manchester

Maxwell’s equations in the

presence of current only

PHYS20141 Electromagnetism4

Page 5: Electromagnetism - University of Manchester

Conductors:

PHYS20141 Electromagnetism5

Skin depth :

Page 6: Electromagnetism - University of Manchester

Skin depth

PHYS20141 Electromagnetism6

d

Intensity, |E0|2 Intensity, |E0|

2exp[-2z/δ]Conductor, σ

Page 7: Electromagnetism - University of Manchester

Skin depth

PHYS20141 Electromagnetism7

Page 8: Electromagnetism - University of Manchester

Plasma

State of matter which is partially ionized and electrons

move under the influence of the electric field –

ignore magnetic field.

PHYS20141 Electromagnetism8

Hence :

Page 9: Electromagnetism - University of Manchester

Reflection (infinite thickness)

PHYS20141 Electromagnetism9

y

x

y=0

Perfect conductor, E = 0

θI θR

Incident wave, EIReflected wave, ER

Page 10: Electromagnetism - University of Manchester

PHYS20141 Electromagnetism10

Reflection of EM waves

Page 11: Electromagnetism - University of Manchester

PHYS20141 Electromagnetism11

Polarization

- Linear polarization

- Circular polarization

- Stokes parameters

Page 12: Electromagnetism - University of Manchester

Linear polarization

PHYS20141 Electromagnetism12

Page 13: Electromagnetism - University of Manchester

Circular polarization

PHYS20141 Electromagnetism13

Clockwise rotation (when viewed

from source), “right-handed”

polarization.

Page 14: Electromagnetism - University of Manchester

Summary of polarization

PHYS20141 Electromagnetism14

Page 15: Electromagnetism - University of Manchester

Stokes parameters

PHYS20141 Electromagnetism15

Page 16: Electromagnetism - University of Manchester

Notes on Stokes Parameters

� For a monochromatic plane wave

� Fraction of linear polarization:

� Fraction of circular polarization:

� Alternative forms:

PHYS20141 Electromagnetism16