E r Lec. 3: Oblque Incdence a Delecrc Inerface H r ε,μ ε,μ θ r θ E E H (Cheng 8-0) E E ep( j)ep( j) Er E ep( jr)ep( jr) E E ep( j)ep( j) E H ( cos sn ) ep( j)ep( j) E Hr ( cosr sn r) ep( jr)ep( jr) E H ( cos sn ) ep( j)ep( j) H Perpendcular Polaraon Unknowns:,,, r E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface E r H r ε,μ ε,μ θ r θ E H E H E E ep( j)ep( j) Er E ep( jr)ep( jr) E E ep( j)ep( j) B.C.'s a 0 ) E connuous (E Er E ) an ep( j ) ep( j ) ep( j ) r ( a) and (b) r From : r sn sn Wh and n r n sn n sn r : an all dencal sn sn Snell's Law E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface Snell's Law: n sn n sn Refracon E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface E r H r ε,μ θ r ε,μ θ E H B.C.'s a 0 ) H connuous an cos cos cos E H E&M (6/) E H ( cos sn ) ep( j)ep( j) E Hr ( cos sn ) ep( j)ep( j) E H ( cos sn ) ep( j)ep( j) Wh, /cos /cos /cos /cos /cos /cos /cos W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface H r E r ε,μ ε,μ E /cos /cos /cos /cos θ r θ H /cos /cos /cos E H Remember for normal ncden η η η η, τ η η η For oblque ncdence of perpendcular polaraon, effecvel, cos cos E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface θ 0, 0 E r H r θ r E H 4 0, 0 For 0 sn sn(0 ) 9.85 E -0.354, = 0.6458 H Incden and Transmed Waves E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface Hr Er 0, 0 E θr θ H 4 0, 0 9.85-0.354, = 0.6458 E H For 0 Refleced and Transmed Waves E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface Hr Er 0, 0 θr θ H 4 0, 0-0.354, = 0.6458 E H 9.85 For 0 E Toal and Transmed Waves E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface Parallel Polaraon H H ep( j)ep( j) H r ε,μ ε,μ E H r H r ep( j r)ep( j r ) E r H H H ep( j )ep( j ) θ r θ E ( cos sn ) H ep( j)ep( j ) E Er ( cosr sn r ) H r ep( j r)ep( j r) H E ( cos sn ) H ep( j )ep( j ) E E r H r H H H E E E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface E r Parallel Polaraon H r ε,μ ε,μ E H E H r H H H E θ r θ H H ep( j)ep( j ) E H H r ( ) H ep( j r )ep( j r ) H H ep( j )ep( j ) E ( cos sn ) H ep( j)ep( j ) Er ( cosr sn r ) H ( ) ep( j r )ep( j r ) E ( cos sn ) H ep( j )ep( j ) E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface H r E B.C.'s a 0 E r E θ r ε,μ ε,μ θ H ) H counuous ( H H H ) an r ep( j ) ep( jr) ep( j) () a r (b) H From : all dencal r an H H ep( j)ep( j) H r ( ) H ep( j r)ep( j r ) ep( )ep( ) H H j j sn sn and sn sn r Wh and n r n sn n sn : Snell's Law E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface H r E B.C.'s a 0 E r ε,μ ε,μ H ) E connuous an θ r θ cos cos cos E H ll cos cos cos cos Wh,, cos ll cos cos E ( cos sn ) H ep( j)ep( j) Er ( cosr sn r ) H ( )ep( j r)ep( j r) E ( cos sn ) H ep( j )ep( j ) E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface E r H r ε,μ ε,μ E H ll cos cos cos cos, cos ll cos cos E H θ r θ Remember for normal ncden η η η η, τ η η η For oblque ncdence of parallel polaraon, effecvel cos, cos E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface 4, and 0 4, and 0 4 and -, 3 3 0 Perpendcular 4, and Polaraon 4, Parallel and Polaraon 0 9.85, 0.354, 0.646 9.85, 0.3, 0.656 E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface, and :from 0 o 90 Perpendcular Do ou see an dfference? Parallel E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface, and :from 0 o 90 Refleced and Transmed Waves onl Perpendcular Do ou see an dfference? Parallel E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface ε,μ ε,μ θ r θ For a ceran ncden angle, here s no reflecon for parallel polaraon Brewser angle E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface For /cos /cos 0 /cos /cos cos 0 cos n cos n cos, Bu n sn n sn No ess. (Snell's law) E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface For ll cos cos 0 cos cos cos cos 0 n cos n cos and n sn n sn n n n n n n sn and cos an n n For he prevous demo, an 54.7 For delecrc maerals, Brewser angle ess onl for parallel polaraon (Assumng ) E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface - Incden sun lgh has boh perpendcular and parallel polaraon - A Brewser angle, onl lgh wh perpendcular polaraon ges refleced - A polarer can block lgh wh ceran polaraon - Then, reflecon of sun lgh can be enrel blocked E&M (6/) W.-Y. Cho
Lec. 3: Oblque Incdence a Delecrc Inerface E&M (6/) W.-Y. Cho