The Propagation of Disturbances in Dispersive Media
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In our eReader you can find the full English version of the book. Read The Propagation of Disturbances in Dispersive Media 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 Propagation of Disturbances in Dispersive Media
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It is unnecessary to work through the details of the exact solution of (130) under the initial conditions given in (133) ; the equation is similar to one which has been studied in connection with damped electric vibrations, known as the telegraphists' equation, and in fact only differs from it by the coefficient of z in the last term being positive instead of negative.
An exact solution can be obtained in the form Jx-t p + ir*Mp)F{q)dq, Jx—t where P^ Jif'-ix-qf} ^ (134).
In particular, put f{x)... = 0, and F{x) = tt/c in the range - € a; (135). .
We can compare this solution with the approximate evaluation by group methods applied to a Fourier integral. Before doing so, it is of interest to obtain it in any other way by using a Fourier integral with complex variable.
What to read after The Propagation of Disturbances in Dispersive Media?
You can find similar books in the "Read Also" column, or choose other free books by Thomas Henry Havelock to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
It is unnecessary to work through the details of the exact solution of (130) under the initial conditions given in (133) ; the equation is similar to one which has been studied in connection with damped electric vibrations, known as the telegraphists' equation, and in fact only differs from it by the coefficient of z in the last term being positive instead of negative.
An exact solution can be obtained in the form Jx-t p + ir*Mp)F{q)dq, Jx—t where P^ Jif'-ix-qf} ^ (134).
In particular, put f{x)... = 0, and F{x) = tt/c in the range - € a; (135). .
We can compare this solution with the approximate evaluation by group methods applied to a Fourier integral. Before doing so, it is of interest to obtain it in any other way by using a Fourier integral with complex variable.
What to read after The Propagation of Disturbances in Dispersive Media?
You can find similar books in the "Read Also" column, or choose other free books by Thomas Henry Havelock to read onlineMoreLess
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