Question
दो समतल ध्रुवित लंबवत् प्रकाश तरंगों के अध्यारोपण के फलस्वरूप उत्पन्न दीर्घवृत्तीय ध्रुवित प्रकाश के लिए व्यंजक प्राप्त करें। सिद्ध करें कि समतल ध्रुवित प्रकाश तथा वृत्तीय ध्रुवित प्रकाश, दीर्घवृत्तीय ध्रुवित प्रकाश की विशेष स्थितियां हैं।
Answer :
Word Count : 230
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दो समतल ध्रुवित लंबवत् प्रकाश तरंगों के अध्यारोपण को मान लेते हैं। यदि (E_x = E_{0x} \cos(\omega t)) और (E_y = E_{0y} \cos(\omega t + \delta)) हों, जहाँ (E_{0x}) और (E_{0y}) आयाम हैं तथा (\delta) दो तरंगों के बीच चरण अंतर है, तो कुल विद्युत क्षेत्र (\vec{E}) होता है: [ \vec{E} = E_x \hat{i} + E_y \hat{j} = E_{0x} \cos(\omega t) \hat{i} + E_{0y} \cos(\omega t + \delta) \hat{j} ] (\cos(\omega t + \delta) = \cos\omega t \cos\delta
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