| The method of TPM is used to calculate the penetration and propagation of EM waves through ionosphere and atmosphere. By constructing the physical model of planar layered media in different altitude, the governing equations and the boundary conditions are given. And by using the sub program of Int. Math. Stat. Lib., the numerical results are presented and graphs of electric and magnetic field are drawn in the end.For the case of high frequencies EM wave penetration into ionosphere of arbitrary latitude, by discussing two cases of the electric fields in or vertical to the incident plane separately, several conclusions can be made. I. For the cases when the electrical field is in or vertical to the incident plane, the reflection and penetration is almost the same. II. If normalized frequency is less than 1.3, most of the incident waves will be reflected, and if the normalized frequency is more than 1.3, most of the incident waves will be penetrated.For the case of penetration of low frequencies EM wave into ionosphere of arbitrary latitude, two different cases are discussed: above the equator and at mid/high latitude. Several conclusions were drawn from the numerical results for the case when penetrations are occurred above equator: I. Waves of lower frequencies have larger amplitude at the surface of the earth when compare with higher ones. II. The less incident angle, the larger amplitude at the surface of the earth. III. The distribution of frequencies is almost unchanged at small incident angle (Less than 35 degree). IV. The components of magnetic wave that along the south-north direction decay little.For the case of mid/high latitude, two conclusions are made: I. Electrical field decay gradually and reach to zero when reach the ground. II. Magnetic field can penetrate through ionosphere and atmosphere, but the magnitude decays into around 1/10 of its original value. |