Electromagnetic Waves

More documents

Recommendations

Info

E : Parallel to the plane of incidence Boundary conditions involved: • normal E : 1st eqn in (38) • tangential E : 3rd eqn in (38) • tangential B : 4th eqn in (38) The last two demand that (E0 − E ′′ 0 ) cos i − E ′ 0 cos r = 0 ɛ µ (E0 + E ′′ ɛ 0 ) − ′ µ ′ E ′ 0 = 0 (40) Figure: Reflection and refraction with polarization parallel to the plane of incidence. Electromagnetic Waves
E : Parallel to the plane of incidence The condition that normal E is continuous, plus Snell’s law, merely dublicates the 2nd of the previous equations. The relative amplitudes of refracted and reflected fields are therefore (how?) E ′ 0 E0 E ′′ 0 E0 = = = = 1 − ɛ tan i 2nn ′ cos i µ µ ′ n ′2 cos i + n n ′2 − n2 sin 2 i 2 n′ ɛ nɛ ′ ɛ tan i 1 + ɛ ′ 2 sin r cos i = sin(i + r) cos(i − r) tan r µ µ ′ n ′2 cos i − n n ′2 − n2 sin 2 i µ µ ′ n ′2 cos i + n n ′2 − n2 sin 2 i ɛ ′ tan r tan(i − r) = 1 + tan(i + r) ɛ tan i ɛ ′ tan r µ=µ ′ Electromagnetic Waves µ=µ ′ (41)
Page 1 and 2: Electromagnetic Waves May 4, 2010 1
Page 3 and 4: Plane Electromagnetic Waves Maxwell
Page 5 and 6: It is then useful to introduce a se
Page 7 and 8: The time averaged flux of energy is
Page 9 and 10: LINEARLY POLARIZED If the amplitude
Page 11 and 12: Elliptically Polarized EM Waves An
Page 13 and 14: Polarization Figure: The figure sho
Page 15 and 16: In terms of the linear polarization
Page 17 and 18: Reflection & Refraction of EM Waves
Page 19 and 20: According to eqn (18) the 3 waves a
Page 21 and 22: Reflection & Refraction of EM Waves
Page 23: E : Perpendicular to the plane of i

Electromagnetic Waves

Create successful ePaper yourself

Delete template?

Save as template?