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Консультация № 196986
06.11.2019, 06:40
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Здравствуйте! Прошу помощи в следующем вопросе:
Некоторые участки крыльев бабочек кажутся синими (l = 0,43 мкм).
Считая показатель преломления чешуек крыла равным 2,7, найти их минимальную толщину. Свет падает нормально к поверхности крыльев
Некоторые участки крыльев бабочек кажутся синими (l = 0,43 мкм).
Считая показатель преломления чешуек крыла равным 2,7, найти их минимальную толщину. Свет падает нормально к поверхности крыльев
Обсуждение
11.11.2019, 03:28
общий
это ответ
Здравствуйте, alina.anischenko!
В данном случае происходит интерференция двух лучей: падающего на верхнюю поверхность чешуйки и преломившегося в ней с отражением от нижней поверхности. Если чешуйка имеет толщину d и показатель преломления n, то для волны света длиной [$955$] оптическая разность хода будет равна
где i - угол преломления. Интерференционный максимум наблюдается, если в это значение укладывается целое число волн, то есть при
(k - целое число). Приравнивая, получаем
Минимальная толщина соответствует k=0, то есть
В данном случае [$955$] = 0.43 мкм, n = 2.7, i = 0 (нормальное падение), поэтому минимальная толщина будет равна
мкм.
В данном случае происходит интерференция двух лучей: падающего на верхнюю поверхность чешуйки и преломившегося в ней с отражением от нижней поверхности. Если чешуйка имеет толщину d и показатель преломления n, то для волны света длиной [$955$] оптическая разность хода будет равна
где i - угол преломления. Интерференционный максимум наблюдается, если в это значение укладывается целое число волн, то есть при
(k - целое число). Приравнивая, получаем
Минимальная толщина соответствует k=0, то есть
В данном случае [$955$] = 0.43 мкм, n = 2.7, i = 0 (нормальное падение), поэтому минимальная толщина будет равна
мкм.
Форма ответа
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