A transmission-line model of a two-stage all-fiber soliton-effect femtosecond-pulse compressor is designed using comprehensive simulation tools. The compressor is predicted to have compression factors as high as 24, with low peak power (<0.5 nJ pulse energy at a 180-fs pulse width) and high repetition rate (~40 GHz) without many of the disadvantages of heretofore-designed compressors. Prior optical pulse compressors are primarily based on solid state lasers or fiber Bragg gratings. Solid state lasers are relatively large, have high pulse energies (~10 nJ), and lack the precision needed for many applications, such as in medical diagnosis and treatment. Fiber Bragg grating compressors are limited in attainable compression factors and intensity levels and have restricted use with other fiber Bragg gratings. Other fiber compressors face third-order dispersion (TOD), self-steepening (SS), intrapulse stimulated Raman scattering (ISRS), and higher order dispersion (HOD), which limits their use. The suggested design addresses a requirement for the modeling of an all-fiber optical pulse compressor that answers the preceding objections. The designed compressor, has no third-order or higher order dispersion, and is not affected by ISRS and SS effects, which can otherwise reduce the quality of the compressed pulses.