Question
Show that superposition of two linearly polarised light waves having different amplitudes and a finite phase difference can be used to produce elliptically plane polarised waves.
Answer :
Word Count : 252
Consider two coherent, monochromatic, linearly polarised waves of the same angular frequency ω propagating along z, with electric field components resolved along x and y: $E_x=A\cos(\omega t)$ and $E_y=B\cos(\omega t+\delta)$, where $A$ and $B$ are real amplitudes and $\delta$ is a fixed phase difference. Writing $E_y=B[\cos\delta\cos(\omega t)-\sin\delta\sin(\omega t)]$ and eliminating time using $\cos(\omega t)=E_x/A$ and $\sin(\omega t)=\pm\sqrt{1-(E_x/A)^2}$ suggests a conic. A cleaner elimination __________ ___ ___ ________ _______ _______ _____ _________ _______ _______.
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Consider two coherent, monochromatic, linearly polarised waves of the same angular frequency ω propagating along z, with electric field components resolved along x and y: $E_x=A\cos(\omega t)$ and $E_y=B\cos(\omega t+\delta)$, where $A$ and $B$ are real amplitudes and $\delta$ is a fixed phase difference. Writing $E_y=B[\cos\delta\cos(\omega t)-\sin\delta\sin(\omega t)]$ and eliminating time using $\cos(\omega t)=E_x/A$ and $\sin(\omega t)=\pm\sqrt{1-(E_x/A)^2}$ suggests a conic. A cleaner elimination __________ ___ ___ ________ _______ _______ _____ _________ _______ _______.
___ ____ ________ ____ _______ ______ ___ ______ ________ ______ ____.
______ ________ ____ ___ ___.
_______ ______ _________ ____ ________ __________ _______ _____ ___ ________.
_________ ________ _______ ________ ____ _________.
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_______ _____ _________ ________ _____ __________ ___ ________ _______ ___.
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__________ __________ ___ ________ ______ _______ _______ ____ ___ _______ __________ __________.
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