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Консультация № 199883
15.12.2020, 09:53
0.00 руб.
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: Вычислить разницу между фазовой и групповой скоростью для света с длиной волны 0,768 мкм в стекле, если известно, что показатель преломления для этой длины волны равен 1,511, а для волны длиной 0, 656 мкм он равен 1,514.
Обсуждение
21.12.2020, 08:48
общий
это ответ
Здравствуйте, ira.medvedeva00!
Фазовая скорость световой волны в среде с показателем преломления n равна
где c = 29979258 м/с - скорость света в вакууме. В данном случае для n[sub]1[/sub] = 1.511 и n[sub]2[/sub] = 1.514 имеем
м/с
м/с
- фазовые скорости.
Групповая скорость волны определяется выражением
где
- круговая частота,
- волновое число. Соответственно,
В данном случае для [$955$][sub]1[/sub] = 0.768 мкм = 0.000000768 м и [$955$][sub]2[/sub] = 0.656 мкм = 0.000000656 м получаем
м/с.
Фазовая скорость световой волны в среде с показателем преломления n равна
где c = 29979258 м/с - скорость света в вакууме. В данном случае для n[sub]1[/sub] = 1.511 и n[sub]2[/sub] = 1.514 имеем
м/с м/с- фазовые скорости.
Групповая скорость волны определяется выражением
где
- круговая частота,
- волновое число. Соответственно,
В данном случае для [$955$][sub]1[/sub] = 0.768 мкм = 0.000000768 м и [$955$][sub]2[/sub] = 0.656 мкм = 0.000000656 м получаем
м/с.
Форма ответа
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