Abstract
To describe the pulse propagation in the fiber, the slowly varying envelope approximation (SVEA) is usually assumed in deriving the wave equation, which is known as the generalized nonlinear Schroedinger equation (GNLSE). [1] For the femtosecond pulse which contains only few optical cycles within its envelope, the SVEA is no longer valid. To overcome this deficiency, the Maxwell equations directly together with linear and nonlinear susceptibilities are numerically solved but this approach is complicated. [2] Therefore a rigorous derivation of the wave equation suitable for the femtosecond pulse is required. In this paper, we will present an iterative method to derive the wave equation beyond the SVEA.
© 1996 Optical Society of America
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