Optical Theories Based On Lectures Delivered Before the Calcutta University
Optical Theories Based On Lectures Delivered Before the Calcutta University
Devendra Nath Mallik
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This requires a + a' = 0, c-\-v ^^c — v Digitized by VjOOQ iC IV] ELECTRON THEORY 137 The energy of the incident wave per unit area corresponding to a length X ^U (say); ti ^\' ^c—v tr \ C -h V ' If p is the pressure of radiation, where U is the energy over a length c + v, which is the displace- ment in unit time. c—v . If 81 = density of energy due to incident wave, c-¥v Similarly S^ = J!L.= ^^/^ + ^ • .*. S = total energy-density == S^ -f- Sg '\c+v^(c-vy) ^ (c - vy 4- ( c -h v)2 __ 2ti c^+i^ ...~' (c;4-t;)(c-t;)2 ""c-i;V-t;2 when V is small compared with c. [Larmor, Encyc. Brit. ' Radiation.'] 246. The system of momenta of Art. 243 is found to be " proportional to amounts of energy transferred in unit time across unit planes at right angles to the axes of x, y, z on Poynting's theory of the transfer of energy in the electro- magnetic field/' Hence the direction of momentum* coincides with the direction of flow of energy on this theory. * Note that we get the same system of momenta on the electron theory.
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