الغرض من هذا العمل هو دراسة الفضاء الإسقاطي ثلاثي الأبعاد PG (3، P) حيث p = 4 باستخدام المعادلات الجبرية وجدنا النقاط والخطوط والمستويات وفي هذا الفضاء نبني (k، ℓ) -span وهي مجموعة من خطوط k لا يتقاطع اثنان منها. نثبت أن الحد الأقصى للكمال (k، ℓ) -span في PG (3،4) هو (17، ℓ) -span ، وهو ما يساوي جميع نقاط المساحة التي تسمى السبريد.
In the present work, the fabrication techniques of type of Nd +3-glass laser active
media : namely, Neodymium- Tellurite glass, where the glass system(TeO2(1-x) - BaOZnO-
Nd2O3x) for values of (X=1,1.5,2,2.5,3,3.5 wt%) was used.
Measurements have been taken for the signal of fluorescence spectrum of Nd+3- glass
samples. The fluorescence spectrum, for one of the samples, has been taken, after the
sequences of polishing for the out surface.
The results give signal of fluorescence spectrum for the samples. Intensity of the peak of
the signal increases with Nd +3 concentration. The fluorescence at (l=1.06 mm) for one
of the samples has been detected and the fluorescence line width was (100 cm-1). The
cross section
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