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Консультация № 187472
20.06.2013, 10:44
78.80 руб.
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1
Здравствуйте, уважаемые эксперты!
Помогите с решением:
Помогите с решением:
Обсуждение
28.06.2013, 04:14
общий
это ответ
Здравствуйте, Саша!
Условие минимума дифракции в данной системе - разность хода луча, идущего по кратчайшему пути, и лучей, идущих через края отверстия равна целому числу волн (таким образом, на приёмник попадают волны всех фаз одновременно). На максимальном удалении источника мы имеем минимум первого порядка.
По условию
[$955$] = 0,04 м
r = 0,4 м
L = 12 м
Условие минимума:
L1+X1=L+X+k[$955$],
где k - порядок минимума (нас интересует k=1)
[$8730$](L2+r2)+[$8730$](X2+r2)=L+X+k[$955$]
введём следующий параметр, не зависимый о исходной переменной a=L+k[$955$]-[$8730$](L2+r2)
тогда [$8730$](X2+r2)=X+a
X2+r2=X2+2aX+a2
X=(r2-a2)/2a
подставляя данные, получаем X=2,38 м
Примечание: в задачах на дифракцию и интерференцию часто встречаются весьма неоднозначные выражения. То же "перестал регистрировать радиоволны" в отношении минимума дифракции обычно не совсем верно - в дифракционной картине полная компенсация волн разных фаз обычно не происходит (то есть амплитуда напряжённости электрического поля электромагнитной волны в точке минимума будет значительно меньше, чем в максимуме, но не равна нулю).
Условие минимума дифракции в данной системе - разность хода луча, идущего по кратчайшему пути, и лучей, идущих через края отверстия равна целому числу волн (таким образом, на приёмник попадают волны всех фаз одновременно). На максимальном удалении источника мы имеем минимум первого порядка.
По условию
[$955$] = 0,04 м
r = 0,4 м
L = 12 м
Условие минимума:
L1+X1=L+X+k[$955$],
где k - порядок минимума (нас интересует k=1)
[$8730$](L2+r2)+[$8730$](X2+r2)=L+X+k[$955$]
введём следующий параметр, не зависимый о исходной переменной a=L+k[$955$]-[$8730$](L2+r2)
тогда [$8730$](X2+r2)=X+a
X2+r2=X2+2aX+a2
X=(r2-a2)/2a
подставляя данные, получаем X=2,38 м
Примечание: в задачах на дифракцию и интерференцию часто встречаются весьма неоднозначные выражения. То же "перестал регистрировать радиоволны" в отношении минимума дифракции обычно не совсем верно - в дифракционной картине полная компенсация волн разных фаз обычно не происходит (то есть амплитуда напряжённости электрического поля электромагнитной волны в точке минимума будет значительно меньше, чем в максимуме, но не равна нулю).
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