Photonic crystals are artificially fabricated periodic dielectric structures. The periodic dielectric structures exist photonic band gap. The photonic band gap depends on the symmetry of photonic crystals

the refractive index of constituents and the size of unit cell. Conventional photonic crystals are usually constructed by positive refraction materials. In recent years

a complex artificial materials with negative permittivity and negative permeability have attracted much attention theoretically and experimentally. According to the definition

the refractive index is also negative for such materials. In this paper

we consider a new kind of photonic crystals with alternative layers of negative refraction materials and positive refraction materials. Many unique features of light propagation are expected in this structure. By using the condition that the tangential components of electromagnetic field and its first derivative are continuous across the interface

we can get the transfer matrix which connects the fields between the incident end and the exit end. Using the transfer matrix

the transmission coefficient of the monochromatic plane wave can be expressed in terms of its matrix elements. By means of transfer matrix method

the numerical simulation and analyses for the properties of light propagation in one-dimensional photonic crystals with alternative layers of negative refraction materials and positive refraction materials have been made in this paper. The transmittance and dispersion relations of one-dimensional photonic crystals containing negative refraction materials were calculated. It's shown that

on normal incidence

the photonic crystals containing negative refraction materials have wider photonic band gaps which is different from the case of traditional photonic crystals with narrow transmission bands. Based on dispersion relationship

these phenomena were explained. Besides these

the relation between the reflectance and incident angles of different polarization modes when light incident with central wavelength was discussed. It's found that one-dimensional photonic crystals containing negative refraction materials have better angular properties than that of traditional photonic crystals and exhibit an omnidirectional reflection for the incident light with central wavelength.