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Here, following a change of integration variable x=cos α1, fn TM,TE (x) represents the amplitude that does not depend on either beam position zo or displacement from cover slip d. The phase function, g (x), is (1- zo d) (n2 n1) 2 - (1- x2) -x, and γ= k1 d. Note that some restrictions apply, so as to have a real critical point. We need 1> (1- zo d) >0 and 1> (n2 n1) >0; this consequently restricts the interval of the beam displacement variable (zo) to the region of the observed oscillations.
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Here, following a change of integration variable x=cos α1, fn TM,TE (x) represents the amplitude that does not depend on either beam position zo or displacement from cover slip d. The phase function, g (x), is (1- zo d) (n2 n1) 2 - (1- x2) -x, and γ= k1 d. Note that some restrictions apply, so as to have a real critical point. We need 1> (1- zo d) >0 and 1> (n2 n1) >0; this consequently restricts the interval of the beam displacement variable (zo) to the region of the observed oscillations.
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