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Задать вопрос экспертам

Консультация № 180285

11.10.2010, 20:07

41.76 руб.

0 2 1

Образование

Для устранения отражения света на поверхность стеклянной линзы
наносится пленка вещества с показателем преломления 1,3 меньшим, чем у
стекла. При какой наименьшей толщине этой пленки отражение света с длиной
волны 0,48 мкм не будет наблюдаться, если угол падения лучей 30° ?
Спасибо.

Обсуждение

давно

Студент
330457
52

11.10.2010, 20:37

общий

это ответ

Здравствуйте, Матвеев Денис Александрович!

Решение:
Чтобы не было отражения света, нужно условие интерференционного минимума лучей 1' и 2'.
Т.к. n_c>n>n_в, то потеря полуволны происходит на обоих поверхностях.
Следовательно, условие минимума (при падении света на угол [$945$])

2d[$8730$]n²-sin²[$945$]=(2m+1)[$955$]/2
Обычно принимают m=0, следовательно
2d[$8730$]n²-sin²[$945$]=[$955$]/2
Отсюда d:
d=[$955$]/(4[$8730$]n²-sin²[$945$])
Подставляем числовые данные, получаем:
d=0,48*10^-6/(4*[$8730$]1,3²-0,5²)=0,48*10^-6/4,8=10^-7м

Ответ:d=10^-7м

давно

Студент
330457
52

11.10.2010, 20:54

общий

Матвеев Денис Александрович:
Вот и рисунок к задаче.

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