This paper describes a numerical analysis of axially nonsymmetrical W-type optical fibers as optical-fiber-type broadband phase devices, Using these devices, phase difference between two orthogonal linear polarizations can be kept constant in a broad wavelength range, The propagation characteristics along a circular core with an elliptical cladding structure and an elliptical core with a circular cladding structure are numerically analyzed by the boundary-integral method, Using the numerical results, the performances of various broadband phase devices are theoretically compared.