The Theory of Optics
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In our eReader you can find the full English version of the book. Read The Theory of Optics Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Theory of Optics
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Hence 9-y __ $s fir __ QS x dx dr dx dr r' 9 __ 9f a r _ af y_ dy dr dy dr r' For since r 1 = x 2 + j 2 + ^ 2, partial differentiation gives , i. E. -- = = cos (rx\ fix r and similarly Also, Q S I (jS X - * ^ l~ * r\~ \ " 'N / o " r\ 9 I ^ V r 9/* ^ dr\r dr' r* dr* dr \r and similarly Equation (12) becomes, therefore, for this case + l*L\ (16) -f- r9r ; which may also be written in the form 172 THEORY OF OPTICS This equation has the same form as (13) save that rs replaces s, and r replaces x. T...he integral of (17) is therefore, by (14), rj=/1 (/ --)+/, (, + ). . . . (18) If, again, homogeneous light of period T be used, it follows that - COS 27t\ This is our former equation for spherical waves. One train of waves moves from the origin, the other moves toward it. The amplitudes, for example, are inversely proportional to r.
This result, which was used above on page 126 in defining the measure of intensity, follows from equation (12).
Before deducing Huygens' principle from equation (12) the following principle must be presented.
What to read after The Theory of Optics?
You can find similar books in the "Read Also" column, or choose other free books by Paul Drude to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Hence 9-y __ $s fir __ QS x dx dr dx dr r' 9 __ 9f a r _ af y_ dy dr dy dr r' For since r 1 = x 2 + j 2 + ^ 2, partial differentiation gives , i. E. -- = = cos (rx\ fix r and similarly Also, Q S I (jS X - * ^ l~ * r\~ \ " 'N / o " r\ 9 I ^ V r 9/* ^ dr\r dr' r* dr* dr \r and similarly Equation (12) becomes, therefore, for this case + l*L\ (16) -f- r9r ; which may also be written in the form 172 THEORY OF OPTICS This equation has the same form as (13) save that rs replaces s, and r replaces x. T...he integral of (17) is therefore, by (14), rj=/1 (/ --)+/, (, + ). . . . (18) If, again, homogeneous light of period T be used, it follows that - COS 27t\ This is our former equation for spherical waves. One train of waves moves from the origin, the other moves toward it. The amplitudes, for example, are inversely proportional to r.
This result, which was used above on page 126 in defining the measure of intensity, follows from equation (12).
Before deducing Huygens' principle from equation (12) the following principle must be presented.
What to read after The Theory of Optics?
You can find similar books in the "Read Also" column, or choose other free books by Paul Drude to read onlineMoreLess
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