Reflection and Transmission of Electromagnetic Waves

to index 2011.10.11 previous lecture note LECTURE NOTE 2011.10.13 2011.10.18 next lecture note

Reflection and Transmission of Electromagnetic Waves

We based the work on the web-text which we have at the link Derivation-Fresnel-Equations-Gavrilenko.pdf
https://miside.uib.no/dotlrn/classes/det-matematisk-naturvitenskapelige-fakultet/phys261/phys261-2011h/file-storage/download/88350825/Derivation-Fresnel-Equations-Gavrilenko.pdf

Note that we use the boundary condition (last slide), together with the relations between E and B following from their
positions in the expression for the Poynting vector (one before the last slide below). That is how n₁ and n₂ enter below

Here we work with the s-polarization, or the TE-polarization
1-work-with_B_and_E_transm.png

1-work-with_B_and_E_transm.png

2a-s-polarized-derivation.png

2a-s-polarized-derivation.png

The same as above - a bit more complicated manipulations
2b-P-polarized-derivation.png - s-polarization, or the TE-polarization geometry

2b-P-polarized-derivation.png

S TE
3a_S-polarized_R_and_T.png

3a_S-polarized_R_and_T.png

P TM
3b_P-polarized_R_and_T.png

3b_P-polarized_R_and_T.png

THIS IS TRANSMISSION AND REFLECTION COEFFICIENTS

From here we follow our text - new better formatted version is at the link:
ALL_slides-PHYS261-smaller.pdf
https://miside.uib.no/dotlrn/classes/det-matematisk-naturvitenskapelige-fakultet/phys261/phys261-2011h/file-storage/download/88350779/ALL_slides-PHYS261-smaller.pdf
Fresnel formulae summarized - and for special case - NORMAL INCIDENCE
4-summary-T_and_R.png

4-summary-T_and_R.png

TRANSMISSION AND REFLECTION COEFFICIENTS and Transmittance and Reflectance
5-transmittance_reflectance_a.png

5-transmittance_reflectance_a.png

Transmittance and Reflectance - relation summary
5-transmittance_reflectance_note.png

5-transmittance_reflectance_note.png

The relations between B and E (or less consistently here between H and E) from the energy and transport.
This relation naturally exists only in the electromagnetic wave, not generally
6-energy-momentum-densities.png

6-energy-momentum-densities.png

Boundary conditions on an interface (two media)

7-boundary-conditions.png

7-boundary-conditions.png

http://en.wikipedia.org/wiki/Fresnel_equations

http://en.wikipedia.org/wiki/Fresnel_rhomb FOR CIRCULAR POLARIZATION

http://physics.kenyon.edu/EarlyApparatus/Polarized_Light/Fresnels_Rhomb/Fresnels_Rhomb.html

http://en.wikipedia.org/wiki/Specular_reflection Useful term to know

http://en.wikipedia.org/wiki/Lissajous_curve THIS TO THE ELLIPTICAL POLARIZATION

http://en.wikipedia.org/wiki/Rose_curve This is just another beautiful curve, referred under Lissajous_curve

File storage for our course:
https://miside.uib.no/dotlrn/classes/det-matematisk-naturvitenskapelige-fakultet/phys261/phys261-2011h/one-community?page_num=2