# week06 - This week Please hand in Lab 2 HW4 due next week...

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Unformatted text preview: This week Please hand in Lab 2 HW4 due next week Today we start lab 3 Jones Vectors E = E x sin( kz − ω t ) ˆ x + E y sin( kz − ω t + ϕ ) ˆ y E = E x sin( kz − ω t + ϕ x ) ˆ x + E y sin( kz − ω t + ϕ y ) ˆ y E = [ E x e i ϕ x ˆ x + E y e i ϕ y ˆ y ] e i ( kz −ω t ) = E e i ( kz −ω t ) E = E x e i ϕ x E y e i ϕ y ⎡ ⎣ ⎢ ⎢ ⎤ ⎦ ⎥ ⎥ Can factor out the amplitude and normalize this to unit length Jones Vectors linear polarization E = A 1 ⎡ ⎣ ⎢ ⎤ ⎦ ⎥ → (normalization) → 1 ⎡ ⎣ ⎢ ⎤ ⎦ ⎥ general linear polarization cos α sin α ⎡ ⎣ ⎢ ⎤ ⎦ ⎥ circular polarization E = [ E x e i ϕ x ˆ x + E y e i ϕ y ˆ y ] e i ( kz − ω t ) (left-circularly polarized) E = [ A ˆ x + Ae i π 2 ˆ y ] e i ( kz − ω t ) (remember: e i π 2 = cos π 2 + i sin π 2 ) E = A 1 2 1 i ⎡ ⎣ ⎢ ⎤ ⎦ ⎥ Uses of Jones Vectors 1 i ⎡ ⎣ ⎢ ⎤ ⎦ ⎥ left-circularly polarized 1 − i ⎡ ⎣ ⎢ ⎤ ⎦ ⎥...
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week06 - This week Please hand in Lab 2 HW4 due next week...

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