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Консультация № 179880

08.09.2010, 02:16

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Образование

Здравствуйте Уважаемые Эксперты. Помогите пожалуйста решить задачу.

Оценить радиус когерентности [$961$]_ю света, приходящего от Солнца на Юпитер. Сравнить его с радиусом когерентности [$961$]₃ света, приходящего от Солнца на Землю. Длину световой волны принять равной 500 нм. (Ответ[$961$]_ю=0,3мм=5[$961$]₃

Обсуждение

давно

Киселев Виталий Сергеевич

Академик
324866
619

08.09.2010, 13:14

общий

это ответ

Здравствуйте, Massimo.
Радиусом когерентности называется максимальное поперечное направлению распространения волны расстояние, на котором возможно проявление интерференции. Его можно оценить из формулы d/2*sin([$629$]/2)[$8804$][$955$]/2
Из геометрических соображений найдем [$629$]/2:
tg([$629$]/2)=R_c/L_з
Тогда минимальный радиус когерентности солнца будет равен:
[$961$]=[$955$]/[2sin(arctgR_c/L_з)]
С учетом того, что R_c=0.004652 а.е., L_з=1 а.е., L_ю=5.2 а.е. получим:
[$961$]_ю=2.8*10^-4 (м)
[$961$]_з=5.4*10^-5 (м)
Тогда [$961$]_ю=5.2[$961$]_з

5

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