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Консультация № 199880
15.12.2020, 09:51
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Здравствуйте! У меня возникли сложности с таким вопросом: На тонкий стеклянный клин падает нормально пучок лучей с длиной волны 0,6 мкм. Угол между поверхностями клина . Показатель преломления стекла клина – 1,5. Какое число темных полос приходится на единицу длины клина?
Обсуждение
21.12.2020, 05:21
общий
это ответ
Здравствуйте, ira.medvedeva00!
Тёмные полосы наблюдаются на тех участкаж клина, для которых оптическая разность хода луча равна полуцелому числу длин волн [$955$]:
С другой стороны, если k-я тёмная полоса наблюдается на участке клина толщиной d[sub]k[/sub], с углом между поверхностями [$945$] и показателем преломления n, то оптическая разность хода луча равна
([$955$]/2 - добавочная разность хода за счёт смены фазы на [$960$] при отражении от границы сред). При достаточно малом [$945$] можно положить cos [$945$] = 1 и
откуда из равенства
следует
Тогда расстояние между соседними тёмными полосами составит
В данном случае для [$955$] = 0.6 мкм = 0.0000006 м, [$945$] = 0.2' и n = 1.5 получаем
м,
что соответствует примерно 1/0.0034 [$8776$] 300 полос/метр.
Тёмные полосы наблюдаются на тех участкаж клина, для которых оптическая разность хода луча равна полуцелому числу длин волн [$955$]:
С другой стороны, если k-я тёмная полоса наблюдается на участке клина толщиной d[sub]k[/sub], с углом между поверхностями [$945$] и показателем преломления n, то оптическая разность хода луча равна
([$955$]/2 - добавочная разность хода за счёт смены фазы на [$960$] при отражении от границы сред). При достаточно малом [$945$] можно положить cos [$945$] = 1 и
откуда из равенства
следует
Тогда расстояние между соседними тёмными полосами составит
В данном случае для [$955$] = 0.6 мкм = 0.0000006 м, [$945$] = 0.2' и n = 1.5 получаем
м,что соответствует примерно 1/0.0034 [$8776$] 300 полос/метр.
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