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Консультация № 198100
01.04.2020, 04:20
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
Дифракция. Точечный источник света ( = 550 нм) находится на расстоянии L = 11 м от экрана. Между источником света и экраном на расстоянии b = 5м от экрана помещена ширма с круглым отверстием, диаметр которого d = 4,2 мм. Как изменится освещенность в точке, находящейся в центре дифракционной картины, если ширму убрать?
Буду очень благодарна, если объясните.
Дифракция. Точечный источник света ( = 550 нм) находится на расстоянии L = 11 м от экрана. Между источником света и экраном на расстоянии b = 5м от экрана помещена ширма с круглым отверстием, диаметр которого d = 4,2 мм. Как изменится освещенность в точке, находящейся в центре дифракционной картины, если ширму убрать?
Буду очень благодарна, если объясните.
Обсуждение
06.04.2020, 03:27
общий
это ответ
Здравствуйте, Ульяна!
Пусть интенсивность света (освещённость) с длиной волны [$955$] в центре экрана в отсутствии ширмы равна I[sub]0[/sub]. Тогда при наличии ширмы с круглым отверстием диаметра d, расположенной на расстоянии a от источника света и на расстоянии b от экрана, интенсивность света в центре экрана определяется выражением
где m - число открытых зон Френеля, определяемое по формуле:
В данном случае d = 4.2 мм = 0.0042 м, [$955$] = 550 нм = 0.00000055 м, b = 5 м, a = L - b = 11 - 5 = 6 м, и число открытых зон Френеля составит
Если бы число зон m в точности равнялось 3 (или любому другому нечётному числу), то наблюдался бы дифракционный максимум с интенсивностью света 4I[sub]0[/sub]. В данном случае интенсивность будет чуть меньше:
другими словами, в отсутствии ширмы освещённость уменьшится в 3.965 раза.
Пусть интенсивность света (освещённость) с длиной волны [$955$] в центре экрана в отсутствии ширмы равна I[sub]0[/sub]. Тогда при наличии ширмы с круглым отверстием диаметра d, расположенной на расстоянии a от источника света и на расстоянии b от экрана, интенсивность света в центре экрана определяется выражением
где m - число открытых зон Френеля, определяемое по формуле:
В данном случае d = 4.2 мм = 0.0042 м, [$955$] = 550 нм = 0.00000055 м, b = 5 м, a = L - b = 11 - 5 = 6 м, и число открытых зон Френеля составит
Если бы число зон m в точности равнялось 3 (или любому другому нечётному числу), то наблюдался бы дифракционный максимум с интенсивностью света 4I[sub]0[/sub]. В данном случае интенсивность будет чуть меньше:
другими словами, в отсутствии ширмы освещённость уменьшится в 3.965 раза.
5
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