Abstract
This chapter discusses the range step-size analysis. It is of great interest from a computational point of view to determine how large a range step size can be allowed in real computations. The chapter presents the application of a model having real coefficients. The optimum range step size is selected by minimizing the leading truncation error term for propagation of a single mode. Then, an extension is carried out to a simple parabolic wave equation model with complex coefficients. Then one mode is used to explore the possibility of selecting the desirable range step size. For propagation of a single mode, minimizing the leading terms in the local truncation error yields conditions for the choice of the constant k0 and the range step size. For multimodal propagation, the resulting equations are mathematically intractable.
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