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Консультация № 176089
17.01.2010, 01:22
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Пучок света падает на плоскопараллельную стеклянную пластину, нижняя поверхность которой находится в воде. При каком угле падения (альфа) свет, отраженный от границы стекло-вода, будет максимально поляризован?
Обсуждение
17.01.2010, 19:47
общий
это ответ
Здравствуйте, Степанов Алексей Владимирович.
Согласно закону Брюстера, максимальная поляризация пучка света, падающего на границу раздела «стекло – вода» будет наблюдаться при угле падения
β = arctg nводы/nстекла.
Под этим же углом отраженный пучок света будет падать на границу раздела «стекло – воздух». Выходить же этот пучок света с верхней поверхности плоскопараллельной пластины будет под углом α, определяемым из закона преломления sin β/sin α = nвоздуха/nводы, т. е.
α = arcsin (nводы/nвоздуха ∙ sin β) = arcsin (nводы/nвоздуха ∙ sin arctg nводы/nстекла).
Подставляя в полученную формулу числовые значения nводы = 1,337, nвоздуха = 1,003, nстекла = 1,805 (для тяжелого флинта), получаем
α = arcsin (1,337/1,003 ∙ sin arctg 1,337/1,805) ≈ 52°30’.
В силу обратимости хода пучка света, найденный угол и является искомым.
Ответ: α = 52°30’.
С уважением.
Согласно закону Брюстера, максимальная поляризация пучка света, падающего на границу раздела «стекло – вода» будет наблюдаться при угле падения
β = arctg nводы/nстекла.
Под этим же углом отраженный пучок света будет падать на границу раздела «стекло – воздух». Выходить же этот пучок света с верхней поверхности плоскопараллельной пластины будет под углом α, определяемым из закона преломления sin β/sin α = nвоздуха/nводы, т. е.
α = arcsin (nводы/nвоздуха ∙ sin β) = arcsin (nводы/nвоздуха ∙ sin arctg nводы/nстекла).
Подставляя в полученную формулу числовые значения nводы = 1,337, nвоздуха = 1,003, nстекла = 1,805 (для тяжелого флинта), получаем
α = arcsin (1,337/1,003 ∙ sin arctg 1,337/1,805) ≈ 52°30’.
В силу обратимости хода пучка света, найденный угол и является искомым.
Ответ: α = 52°30’.
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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