Knowing that the basic optical fiber technology means that the open questions which mature more sharply focused and allow more content in mathematics. Mathematical Principles of Optical Fiber Communication is intended to support and promote interdisciplinary research in optical fiber communications by providing important background both in the principles of physics and mathematics of the discipline. Chapter topics include the basics of fiber and their construction, operation mode fiber and single mode criterion, the nonlinear Schr? ger equation, variations in analytical approach to pulse propagation, and, finally, soliton and some new results on soliton formation threshold energy. These chapters are written to be as independent as possible while taking the reader to the frontier of research on optical fiber communications.