Chapter 38429P38.69(a)The E and O rays, in phase at the surface of the plate, will have a phase differenceθπλδ=FHGIKJ2after traveling distance dthrough the plate. Here δis the difference in the optical pathlengthsof these rays. The optical path length between two points is the product of the actual pathlength dand the index of refraction. Therefore,δ=−dndnOE.The absolute value is used since nnOEmay be more or less than unity. Therefore,θπλπλ=FHGIKJ−=FHGIKJ−22dndnd nnOEOE.(b)dnnOE=−=×−=×=−−λθπππµ255010221 5441 5531 531015 395mmmejbg....P38.70(a)From Equation 38.4,IImaxsin=LNMMOQPPββ222bg.If we defineφβ≡2this becomesIImaxsin=LNMOQPφφ2.Therefore, whenIImax=12we must havesinφφ=12, or
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Distance, Sin, optical path length, optical path lengths