We propose a new fiber structure using both stress rods and air holes for making wide band single polarization fibers as well as polarization maintaining fibers, and illustrate the results through finite element modeling.Single polarization fibers (SPF) and polarization maintaining fibers (PMF) have found many applications ranging from telecom, sensor (gyroscope), and lab measurements. In recent years, we have proposed, implemented, and commercialized a single polarization fiber with dual air holes [1][2]. In order to achieve single polarization operation, the fiber must possess both high birefringence and fundamental mode cutoff. In the dual air hole fibers [1], both features are achieved with the air holes in conjunction with high refractive index in the core. While such fibers can be used with conventional fibers by properly splicing the fibers, more demanding applications such fiber lasers require larger mode area for higher power operation. To address the need of these applications, in this paper we propose a novel fiber, which utilizes both stress rods and air holes. This new fiber structure allows the use of a core with low refractive index, resulting in large mode area. The fiber can be designed as either polarization maintaining fiber or single polarization fiber depending on wavelength window.The proposed fiber structure consists of a core and a cladding containing two air holes adjacent to the core and two stress rods aligned in the perpendicular direction of the air holes as shown in Fig. 1. The parameters used to specify the fiber configuration include geometric parameters and refractive indices that are related to doping levels for the core and the stress rod. The fiber core can be specified by the core radius R core when it is round or by the semi-axial dimension in the x-direction ( "a") and in the y-direction ("b")when it is elliptical. The location and the dimension of the stress rod are specified by the center of the stress rod to the center of the fiber core distance D rod , and stress rod radius R rod . The air holes are always placed next to the core and its dimension is described by R hole . The refractive index of each part of the fiber is specified by the delta or percentage of relative refractive index to the cladding, typically formed by the pure silica. There are two delta values to be specified, which are delta of the core ∆ core , and delta of the stress rod, ∆ Rod .In this paper, all the numerical modeling was conducted by using a Finite Element Method (FEM) involving structural mechanics, and electromagnetics. In the first step, we calculate the contribution of the stress to refractive index from differential thermal expansion and translate that into anisotropic index distribution via stress-optic effect [3]. In the next step, the stress induced refractive index change is superimposed with the refractive index due to the use of different dopants at different parts of the fiber. Then the effective indices are calculated for both polarizations of the fundamental mode similarly to tha...