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Консультация № 185520
27.02.2012, 21:08
75.21 руб.
0
2
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Определить наименьшее расстояние между двумя точками образца горной породы, наблюдаемого в микроскоп. Угол, под которым лучи из рассматриваемого участка попадают на края объектива микроскопа, равен
(апертурный угол). Освещение среза производится зеленым светом 
550 нм. Как изменится величина наименьшего расстояния, если пространство между рассматриваемым предметом и объективом заполнить иммерсионной жидкостью с показателем преломления 1,5.
Определить наименьшее расстояние между двумя точками образца горной породы, наблюдаемого в микроскоп. Угол, под которым лучи из рассматриваемого участка попадают на края объектива микроскопа, равен
(апертурный угол). Освещение среза производится зеленым светом 550 нм. Как изменится величина наименьшего расстояния, если пространство между рассматриваемым предметом и объективом заполнить иммерсионной жидкостью с показателем преломления 1,5.
Обсуждение
27.02.2012, 23:57
общий
это ответ
Здравствуйте, Дмитрий Сергеевич!
Согласно критерию Рэлея, изображения точек различимы, если расстояние между центрами соответствующих кружков Эйри
,
где
- половина угловой апертуры со стороны изображения., 
- длина волны.
Используя условие синусов Аббе
,
где l - расстояние между точками предмета(породы), а n - показатель преломления среды между предметом и объективом,
- половина угловой апертуры со стороны предмета(это та, которая ),
получаем искомое условие разрешения:
.
А потому, минимально разрешимое расстояние есть
нм.
Т.е. 475 нм при n = 1 и 317 нм при n = 1.5.
Согласно критерию Рэлея, изображения точек различимы, если расстояние между центрами соответствующих кружков Эйри
,где
- половина угловой апертуры со стороны изображения., - длина волны.Используя условие синусов Аббе
,где l - расстояние между точками предмета(породы), а n - показатель преломления среды между предметом и объективом,
- половина угловой апертуры со стороны предмета(это та, которая ),получаем искомое условие разрешения:
.А потому, минимально разрешимое расстояние есть
нм.Т.е. 475 нм при n = 1 и 317 нм при n = 1.5.
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