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New Concepts About Interference of Light
Now I am giving an explanation of interference, with the help of corpuscle theory according to Jainism.
In the phenomenon of interference when both the slits are opened, the photons pass through both the slits in very large numbers simulteneously i.e. at a same time. According to the wave theory when along straight lines of interactions of crest with crest and trough with trough of both waves created by both slits, bright fringes are formed on the screen and along straight lines of interactions of crest with trough and trough with crest of each other, dark fringes are formed as shown above.
When the crest of one photon interacts the crest of another photon or a trough of one photon interacts a trough of another photon, there is a collision between the photon particles that are coming from two separate slits at the same time with the same frequency, amplitude and wavelength. Hence after collision, both photons propagate in the direction of resultant vector according to the law of parallelogram. It is denoted by the following equation,
O F Sin (wt - Kr), where K = 2012 is a wave vector. Of course both the photons have the same energy and the same mass after and before the collision and they do not interact with each other and therefore only the intensity of light increases. Law of conservation of mass, energy and momentum can also be applicable to this phenomenon, though scientists believe that photons have no mass.
While in the interactions of the crest of one photon with the trough of the second photon or a trough of one photon with the crest of the second photon, both photons do not collide with each other and they pass through without changing the direction of the other photon. But these same photons change their directions, when their crests fall on the crests of other photons or their troughs fall on the troughs of other photons. As a result along the straight lines, showing the interactions of the crest of one photon with the trough of the other photon, photons will be absent and, therefore such type of interactions form the fringes of darkness.
As aforementioned, according to modern physics, intensity of light in constructive and destructive interference depends upon the amplitude of the resultant wave. In case of constructive interference it becomes four
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