Design and establishment of an implementation program to simulate the far field propagation for a Gaussian beam of x-ray laser

The propagation of the Gaussian laser beam through the atmosphere is one of the most important features for military, scientific, industry and medical applications. this paper presents a theoretical study to simulate the effect of turbulence attenuation on propagation of laser beam and calculation of lossy power and divergence beam. A simulation of laser production within the X-ray region showed that the wavelength (0.0985 nm) used in the research could be obtained using the energy of the electron beam of (320 PJ). There are three important parameters in calculating the wavelength in the free electron laser (undulator period, relativistic factor, undulator parameter), and they appear through simulations when the laser power depends greatly on the undulator length and we can dispense with the resonator and increasing the undulator length. The divergence beam was increased with altitude and equals (0.0195003m) in (H= 11km). From the attenuation calculations, the power absorbed (lost) is directly proportional to the radius of the laser beam and inversely proportional to the laser wavelength. From the attenuation calculations, the power absorbed (lost) is directly proportional to the radius of the final laser beam and inversely proportional to the laser wavelength. As for the atmosphere turbulence, it is intense at sea level and decreases with altitude, the structure refractive index Cn2 in MSL equal 3.92×10−13m23 and indicates the severe of turbulence. Fried Parameter ro is directly proportional with altitude and (ro=0.7485 μm) in sea level and indicates to severe turbulence and decreases with altitude. Therefore, the attenuation operation and atmospheric turbulence are affected by temperature fluctuations and altitude.