在非线性介质中的光传播行为（Light propagation behavior in nonlinear media）.docVIP

在非线性介质中的光传播行为（Light propagation behavior in nonlinear media） Light propagation in nonlinear medium Wen / Shi Mingfeng A brief introduction In 1834, a Scotland scientist John S. Russell[1] along a narrow and shallow canal riding, he found the following scene, when a boat suddenly stopped, had been promoted in the bow in front of the water because of inertial relations continue to move forward, strange is that in this single water. The front and rear of the canal water is very calm and no fluctuation, he curiously riding follow the single raised water walked several miles, and found that this projection of the shape and size of the water still do not see any change in Russell is in his notebook for him observe that a solitary rose (solitary elevation) wave phenomenon. 50 years later, two Holland Korteweg and de Vries found that scientists to observe the phenomenon of the isolated wave rises, the rising water amplitude must be very large, if not the surface of the large amplitude rises, can cause waves, and will spread soon dissipated. They learned that this represents a large amplitude and small amplitude waves will have different behaviors, but also can be said to medium water - the water wave propagation - reaction of the wave amplitude is nonlinear. We now return to the theme of light propagation in nonlinear material behavior, although we are in college when electromagnetism and electromagnetic wave, always in the textbook examples or exercises in the assumption of electromagnetic wave propagation medium is linear, which means that whether the electromagnetic wave amplitude size, The refractive index (function of dielectric coefficient and magnetic dielectric coefficient) will not change, so in solving differential equations, linear solution is relatively easy, but on behalf of the dielectric coefficient is the electric field (E) and polarization (P) the proportion of the relationship between the law of Hooke as the spring, when the external force to a certain ext