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Консультация № 177104
07.03.2010, 00:31
0.00 руб.
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1
1
Здравствуйте уважаемые эксперты, помогите пожалуйста решить ( нужно только сделать рисунок) задачу:
На стеклянную пластину нанесен тонкий слой прозрачного вещества с показателем преломления n1 = 1.4. Пластинка освещается пучком параллельных лучей длиной волны λ = 540 нм, падающих на пластинку нормально. Какую минимальную толщину dmin должен иметь слой, чтобы отраженные лучи имели наименьшую яркость? Показатель преломления стекла n2 = 1.5.
На стеклянную пластину нанесен тонкий слой прозрачного вещества с показателем преломления n1 = 1.4. Пластинка освещается пучком параллельных лучей длиной волны λ = 540 нм, падающих на пластинку нормально. Какую минимальную толщину dmin должен иметь слой, чтобы отраженные лучи имели наименьшую яркость? Показатель преломления стекла n2 = 1.5.
Обсуждение
11.03.2010, 21:13
общий
это ответ
Здравствуйте, Чаркин Иван Александрович.
Так как показатель преломления данного вещества меньше, чем стекла, то от обеих поверхностей отражение происходит с потерей полуволны и на разность фаз отражённых волн это не влияет. Для того, чтобы отраженные лучи имели наименьшую яркость, требуется, чтобы оражённые от обеих поверхностей электромагнитные волны имели противоположные фазы. Минимальная толщина, при которой это возможно, такова, что отражённый от стекла луч проходит в веществе расстояние равное половине длины волны, следовательно (так как этот луч дважду проходит через слой вещества) толщина сля равна 1/4 длины волны в этом веществе. В свою очередь, длина волны света в среде с показателем преломления n1 в n1 раз меньше, чем в воздухе/вакууме.
Получаем толщину d=0.25[$955$]/n1=0,25*540/1,4=96.4 нм
Так как показатель преломления данного вещества меньше, чем стекла, то от обеих поверхностей отражение происходит с потерей полуволны и на разность фаз отражённых волн это не влияет. Для того, чтобы отраженные лучи имели наименьшую яркость, требуется, чтобы оражённые от обеих поверхностей электромагнитные волны имели противоположные фазы. Минимальная толщина, при которой это возможно, такова, что отражённый от стекла луч проходит в веществе расстояние равное половине длины волны, следовательно (так как этот луч дважду проходит через слой вещества) толщина сля равна 1/4 длины волны в этом веществе. В свою очередь, длина волны света в среде с показателем преломления n1 в n1 раз меньше, чем в воздухе/вакууме.
Получаем толщину d=0.25[$955$]/n1=0,25*540/1,4=96.4 нм
5
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