This paper has put forward the physical model of the flow-line structure of the light transmission in the film medium, established the non-relativistic quantum equation of the photo-flow-line, studied the mechanism of guiding light of both three-layer step-profile planar waveguide and three-layer graded-profile planar waveguide using the method of the quantum mechanics, introduced the concept of step-profile potential and that of step-profile quantum, explained anew the modulus of light propagation in the film medium, revealed that light transmission in the film medium abides by the movement law of the property of wave and particle, abandoned the concept of the classical electromagnetic wave and its theory system, tentatively formed the flow-line quantum theory of light transmission in the film medium.
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