US2010177377A1PendingUtilityA1

Use of undoped crystals of the yttrium/aluminum/borate family for creating non-linear effects

43
Assignee: RYTZ DANIELPriority: Jun 19, 2007Filed: May 16, 2008Published: Jul 15, 2010
Est. expiryJun 19, 2027(~0.9 yrs left)· nominal 20-yr term from priority
Inventors:Daniel Rytz
G02F 1/3551C01B 35/128
43
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Claims

Abstract

The present invention concerns a method of producing blue or UV light. To produce blue or UV light with the described crystal family it is proposed according to the invention that a crystal of the family A x M 1-x X 3 (BO 3 ) 4 , wherein both A and also M stand for an element from the group Y, La, Ce, Pr, Nd, Pm, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb and Lu, A≠M and X═Al, Ga, Sc and 0≦x≦1, is used as a non-linear optical element to produce light of a wavelength of less than 0.450 μm.

Claims

exact text as granted — not AI-modified
1 . A method of producing blue or ultraviolet light characterized in that a crystal of the family A x M 1-x X 3 (BO 3 ) 4 , wherein both A and also M stand for an element from the group Y, La, Ce, Pr, Nd, Pm, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb and Lu, A≠M and X═Al, Ga, Sc and 0≦x≦1, is used as a non-linear optical element to produce light of a wavelength of less than 0.450 μm. 
   
   
       2 . A method as set forth in  claim 1  characterized in that YAl 3 (BO 3 ) 4 , GdA 3 (BO 3 ) 4 , YbAl 3 (BO 3 ) 4  or LuAl 3 (BO 3 ) 4  is used as the crystal 
   
   
       3 . A method as set forth in  claim 1  or  claim 2  characterized in that an electromagnetic wave of the wavelength λ is passed through the crystal and the crystal is used to produce the second harmonic (0.5λ) which is of a wavelength of less than 0.450 μm. 
   
   
       4 . A method as set forth in  claim 3  characterized in that an electromagnetic wave of the wavelength λ is passed through the crystal in such a way that the propagation direction includes the angle θ+/−Δθ with the optical axis Z and the angle φ+/−Δφwith the optical axis X and the crystal is used to produce the second harmonic of the wavelength 0.5λ, wherein λ, θ, Δθ, φ, Δφ and 0.5λ assume the values of a line in the following Table: 
     
       
         
               
               
               
               
               
               
             
                   
               
                 λ 
                 0.5 λ (μm) +/− 
                   
                   
                   
                   
               
                 (μm) 
                 0.001 
                 θ (°) 
                 Δθ (°) 
                 φ (°) 
                 Δφ (°) 
               
                   
               
                   
               
               
               
               
               
               
               
             
                 0.498 +/− 0.002 
                 0.249 
                 79.58 
                 2.50 
                 0 
                 1.5 
               
                 0.502 +/− 0.002 
                 0.251 
                 77.13 
                 2.00 
                 0 
                 1.5 
               
                 0.506 +/− 0.002 
                 0.253 
                 75.10 
                 2.00 
                 0 
                 1.5 
               
                 0.510 +/− 0.002 
                 0.255 
                 73.35 
                 2.00 
                 0 
                 1.5 
               
                 0.514 +/− 0.002 
                 0.257 
                 71.79 
                 1.50 
                 0 
                 1.5 
               
                 0.519 +/− 0.002 
                 0.2595 
                 70.04 
                 1.50 
                 0 
                 1.5 
               
                 0.523 +/− 0.002 
                 0.2615 
                 68.77 
                 1.50 
                 0 
                 1.5 
               
                 0.527 +/− 0.002 
                 0.2635 
                 67.60 
                 1.50 
                 0 
                 1.5 
               
                 0.531 +/− 0.002 
                 0.2655 
                 66.49 
                 1.50 
                 0 
                 1.5 
               
                 0.535 +/− 0.002 
                 0.2675 
                 65.46 
                 1.00 
                 0 
                 1.5 
               
                 0.540 +/− 0.002 
                 0.270 
                 64.24 
                 1.00 
                 0 
                 1.5 
               
                 0.545 +/− 0.002 
                 0.2725 
                 63.11 
                 1.00 
                 0 
                 1.5 
               
                 0.550 +/− 0.002 
                 0.275 
                 62.04 
                 1.00 
                 0 
                 1.5 
               
                 0.560 +/− 0.002 
                 0.280 
                 60.07 
                 1.00 
                 0 
                 1.5 
               
                 0.570 +/− 0.002 
                 0.285 
                 58.30 
                 1.00 
                 0 
                 1.5 
               
                 0.580 +/− 0.002 
                 0.290 
                 56.68 
                 1.00 
                 0 
                 1.5 
               
                 0.590 +/− 0.002 
                 0.295 
                 55.19 
                 1.00 
                 0 
                 1.5 
               
                 0.600 +/− 0.002 
                 0.300 
                 53.81 
                 1.00 
                 0 
                 1.5 
               
                 0.604 +/− 0.002 
                 0.302 
                 53.29 
                 1.00 
                 0 
                 1.5 
               
                 0.608 +/− 0.002 
                 0.304 
                 52.78 
                 1.00 
                 0 
                 1.5 
               
                 0.612 +/− 0.002 
                 0.306 
                 52.29 
                 0.75 
                 0 
                 1.5 
               
                 0.636 +/− 0.002 
                 0.318 
                 49.59 
                 0.75 
                 0 
                 1.5 
               
                 0.640 +/− 0.002 
                 0.320 
                 49.18 
                 0.75 
                 0 
                 1.5 
               
                 0.644 +/− 0.002 
                 0.322 
                 48.78 
                 0.75 
                 0 
                 1.5 
               
                 0.709 +/− 0.002 
                 0.3545 
                 43.36 
                 0.75 
                 0 
                 1.5 
               
                 0.713 +/− 0.002 
                 0.3565 
                 43.08 
                 0.75 
                 0 
                 1.5 
               
                 0.717 +/− 0.002 
                 0.3585 
                 42.81 
                 0.75 
                 0 
                 1.5 
               
                 0.721 +/− 0.002 
                 0.3605 
                 42.54 
                 0.75 
                 0 
                 1.5 
               
                 0.725 +/− 0.002 
                 0.3625 
                 42.28 
                 0.75 
                 0 
                 1.5 
               
                 0.729 +/− 0.002 
                 0.3645 
                 42.02 
                 0.75 
                 0 
                 1.5 
               
                 0.776 +/− 0.002 
                 0.388 
                 39.32 
                 0.75 
                 0 
                 1.5 
               
                 0.780 +/− 0.002 
                 0.390 
                 39.12 
                 0.75 
                 0 
                 1.5 
               
                 0.784 +/− 0.002 
                 0.392 
                 38.92 
                 0.75 
                 0 
                 1.5 
               
                 0.796 +/− 0.002 
                 0.398 
                 38.34 
                 0.75 
                 0 
                 1.5 
               
                 0.800 +/− 0.002 
                 0.400 
                 38.15 
                 0.75 
                 0 
                 1.5 
               
                 0.804 +/− 0.002 
                 0.402 
                 37.97 
                 0.75 
                 0 
                 1.5 
               
                 0.808 +/− 0.002 
                 0.404 
                 37.78 
                 0.75 
                 0 
                 1.5 
               
                 0.812 +/− 0.002 
                 0.406 
                 37.61 
                 0.75 
                 0 
                 1.5 
               
                 0.709 +/− 0.002 
                 0.3545 
                 71.73 
                 0.75 
                 30 
                 1.5 
               
                 0.713 +/− 0.002 
                 0.3565 
                 70.85 
                 0.75 
                 30 
                 1.5 
               
                 0.717 +/− 0.002 
                 0.3585 
                 70.01 
                 0.75 
                 30 
                 1.5 
               
                 0.721 +/− 0.002 
                 0.3605 
                 69.21 
                 0.75 
                 30 
                 1.5 
               
                 0.725 +/− 0.002 
                 0.3625 
                 68.46 
                 0.75 
                 30 
                 1.5 
               
                 0.729 +/− 0.002 
                 0.3645 
                 67.74 
                 0.75 
                 30 
                 1.5 
               
                 0.776 +/− 0.002 
                 0.388 
                 61.07 
                 0.75 
                 30 
                 1.5 
               
                 0.780 +/− 0.002 
                 0.390 
                 60.82 
                 0.75 
                 30 
                 1.5 
               
                 0.784 +/− 0.002 
                 0.392 
                 60.17 
                 0.75 
                 30 
                 1.5 
               
                 0.796 +/− 0.002 
                 0.398 
                 58.91 
                 0.75 
                 30 
                 1.5 
               
                 0.800 +/− 0.002 
                 0.400 
                 58.51 
                 0.75 
                 30 
                 1.5 
               
                 0.804 +/− 0.002 
                 0.402 
                 58.12 
                 0.75 
                 30 
                 1.5 
               
                 0.808 +/− 0.002 
                 0.404 
                 57.74 
                 0.75 
                 30 
                 1.5 
               
                 0.812 +/− 0.002 
                 0.406 
                 57.37 
                 0.75 
                 30 
                 1.5 
               
                   
               
           
              
              
              
              
             
             
              
             
          
           
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
             
          
         
       
     
   
   
       5 . A method as set forth in one of  claims 1 - 2  characterized in that at the same time an electromagnetic wave of the wavelength λ and another electromagnetic wave of the wavelength λ/2 are passed through the crystal and the crystal is used to produce the third harmonic (⅓λ) which is of a wavelength of less than 0.450 λm. 
   
   
       6 . A method as set forth in  claim 5  characterized in that the electromagnetic waves of the wavelengths λ and λ/2 are passed through the crystal in such a way that the propagation direction includes an angle θ+/−Δθ with the optical Z-axis and an angle φ+/−Δφ with the optical X-axis and the crystal is used to produce the third harmonic of the wavelength ⅓λ, wherein λ, θ, Δθ, φ, Δφ and ⅓ assume the values of a line in the following Table: 
     
       
         
               
               
               
               
               
               
             
                   
               
                 λ 
                 ⅓ λ (μm) +/− 
                   
                   
                   
                   
               
                 (μm) 
                 0.001 
                 θ (°) 
                 Δθ (°) 
                 φ (°) 
                 Δφ (°) 
               
                   
               
                   
               
               
               
               
               
               
               
             
                 0.71 
                 0.2367 
                 79.87 
                 2 
                 0 
                 5 
               
                 0.72 
                 0.2400 
                 75.70 
                 2 
                 0 
                 5 
               
                 0.73 
                 0.2433 
                 72.59 
                 2 
                 0 
                 5 
               
                 0.74 
                 0.2467 
                 70.03 
                 2 
                 0 
                 5 
               
                 0.75 
                 0.2500 
                 67.83 
                 2 
                 0 
                 5 
               
                 0.76 
                 0.2533 
                 65.89 
                 2 
                 0 
                 5 
               
                 0.77 
                 0.2567 
                 64.14 
                 2 
                 0 
                 5 
               
                 0.78 
                 0.2600 
                 62.55 
                 2 
                 0 
                 5 
               
                 0.79 
                 0.2633 
                 61.09 
                 2 
                 0 
                 5 
               
                 0.8 
                 0.2667 
                 59.74 
                 2 
                 0 
                 5 
               
                 0.81 
                 0.2700 
                 58.48 
                 2 
                 0 
                 5 
               
                 0.82 
                 0.2733 
                 57.30 
                 2 
                 0 
                 5 
               
                 0.83 
                 0.2767 
                 56.19 
                 2 
                 0 
                 5 
               
                 0.84 
                 0.2800 
                 55.15 
                 2 
                 0 
                 5 
               
                 0.85 
                 0.2833 
                 54.16 
                 2 
                 0 
                 5 
               
                 0.86 
                 0.2867 
                 53.23 
                 2 
                 0 
                 5 
               
                 0.87 
                 0.2900 
                 52.34 
                 2 
                 0 
                 5 
               
                 0.88 
                 0.2933 
                 51.49 
                 2 
                 0 
                 5 
               
                 0.89 
                 0.2967 
                 50.69 
                 2 
                 0 
                 5 
               
                 0.9 
                 0.3000 
                 49.92 
                 2 
                 0 
                 5 
               
                 0.91 
                 0.3033 
                 49.18 
                 2 
                 0 
                 5 
               
                 0.92 
                 0.3067 
                 48.48 
                 2 
                 0 
                 5 
               
                 0.93 
                 0.3100 
                 47.80 
                 2 
                 0 
                 5 
               
                 0.94 
                 0.3133 
                 47.15 
                 2 
                 0 
                 5 
               
                 0.95 
                 0.3167 
                 46.53 
                 2 
                 0 
                 5 
               
                 0.96 
                 0.3200 
                 45.93 
                 2 
                 0 
                 5 
               
                 0.97 
                 0.3233 
                 45.35 
                 2 
                 0 
                 5 
               
                 0.98 
                 0.3267 
                 44.79 
                 2 
                 0 
                 5 
               
                 0.99 
                 0.3300 
                 44.25 
                 2 
                 0 
                 5 
               
                 1 
                 0.3333 
                 43.74 
                 2 
                 0 
                 5 
               
                 1.01 
                 0.3367 
                 43.24 
                 2 
                 0 
                 5 
               
                 1.02 
                 0.3400 
                 42.75 
                 2 
                 0 
                 5 
               
                 1.03 
                 0.3433 
                 42.29 
                 2 
                 0 
                 5 
               
                 1.04 
                 0.3467 
                 41.84 
                 2 
                 0 
                 5 
               
                 1.05 
                 0.3500 
                 41.40 
                 2 
                 0 
                 5 
               
                 1.06 
                 0.3533 
                 40.98 
                 2 
                 0 
                 5 
               
                 1.07 
                 0.3567 
                 40.57 
                 2 
                 0 
                 5 
               
                 1.08 
                 0.3600 
                 40.17 
                 2 
                 0 
                 5 
               
                 1.09 
                 0.3633 
                 39.79 
                 2 
                 0 
                 5 
               
                 1.1 
                 0.3667 
                 39.42 
                 2 
                 0 
                 5 
               
                 1.11 
                 0.3700 
                 39.06 
                 2 
                 0 
                 5 
               
                 1.12 
                 0.3733 
                 38.71 
                 2 
                 0 
                 5 
               
                 1.13 
                 0.3767 
                 38.37 
                 2 
                 0 
                 5 
               
                 1.14 
                 0.3800 
                 38.05 
                 2 
                 0 
                 5 
               
                 1.15 
                 0.3833 
                 37.73 
                 2 
                 0 
                 5 
               
                 1.16 
                 0.3867 
                 37.42 
                 2 
                 0 
                 5 
               
                 1.17 
                 0.3900 
                 37.12 
                 2 
                 0 
                 5 
               
                 1.18 
                 0.3933 
                 36.83 
                 2 
                 0 
                 5 
               
                 1.19 
                 0.3967 
                 36.55 
                 2 
                 0 
                 5 
               
                 1.2 
                 0.4000 
                 36.27 
                 2 
                 0 
                 5 
               
                 1.21 
                 0.4033 
                 36.01 
                 2 
                 0 
                 5 
               
                 1.22 
                 0.4067 
                 35.75 
                 2 
                 0 
                 5 
               
                 1.23 
                 0.4100 
                 35.50 
                 2 
                 0 
                 5 
               
                 1.24 
                 0.4133 
                 35.26 
                 2 
                 0 
                 5 
               
                 1.25 
                 0.4167 
                 35.02 
                 2 
                 0 
                 5 
               
                 1.26 
                 0.4200 
                 34.79 
                 2 
                 0 
                 5 
               
                 1.27 
                 0.4233 
                 34.57 
                 2 
                 0 
                 5 
               
                 1.28 
                 0.4267 
                 34.35 
                 2 
                 0 
                 5 
               
                 1.29 
                 0.4300 
                 34.15 
                 2 
                 0 
                 5 
               
                 1.3 
                 0.4333 
                 33.94 
                 2 
                 0 
                 5 
               
                 1.31 
                 0.4367 
                 33.74 
                 2 
                 0 
                 5 
               
                 1.32 
                 0.4400 
                 33.55 
                 2 
                 0 
                 5 
               
                 1.33 
                 0.4433 
                 33.37 
                 2 
                 0 
                 5 
               
                 1.34 
                 0.4467 
                 33.19 
                 2 
                 0 
                 5 
               
                 0.88 
                 0.2933 
                 69.59 
                 1.5 
                 30 
                 5 
               
                 0.89 
                 0.2967 
                 67.90 
                 1.5 
                 30 
                 5 
               
                 0.9 
                 0.3000 
                 66.38 
                 1.5 
                 30 
                 5 
               
                 0.91 
                 0.3033 
                 64.98 
                 1.5 
                 30 
                 5 
               
                 0.92 
                 0.3067 
                 63.68 
                 1.5 
                 30 
                 5 
               
                 0.93 
                 0.3100 
                 62.48 
                 1.5 
                 30 
                 5 
               
                 0.94 
                 0.3133 
                 61.36 
                 1.5 
                 30 
                 5 
               
                 0.95 
                 0.3167 
                 60.30 
                 1.5 
                 30 
                 5 
               
                 0.96 
                 0.3200 
                 59.30 
                 1.5 
                 30 
                 5 
               
                 0.97 
                 0.3233 
                 58.36 
                 1.5 
                 30 
                 5 
               
                 0.98 
                 0.3267 
                 57.46 
                 1.5 
                 30 
                 5 
               
                 0.99 
                 0.3300 
                 56.61 
                 1.5 
                 30 
                 5 
               
                 1 
                 0.3333 
                 55.80 
                 1.5 
                 30 
                 5 
               
                 1.01 
                 0.3367 
                 55.03 
                 1.5 
                 30 
                 5 
               
                 1.02 
                 0.3400 
                 54.29 
                 1.5 
                 30 
                 5 
               
                 1.03 
                 0.3433 
                 53.58 
                 1.5 
                 30 
                 5 
               
                 1.04 
                 0.3467 
                 52.90 
                 1.5 
                 30 
                 5 
               
                 1.05 
                 0.3500 
                 52.25 
                 1.5 
                 30 
                 5 
               
                 1.06 
                 0.3533 
                 51.63 
                 1.5 
                 30 
                 5 
               
                 1.07 
                 0.3567 
                 51.03 
                 1.5 
                 30 
                 5 
               
                 1.08 
                 0.3600 
                 50.45 
                 1.5 
                 30 
                 5 
               
                 1.09 
                 0.3633 
                 49.89 
                 1.5 
                 30 
                 5 
               
                 1.1 
                 0.3667 
                 49.36 
                 1.5 
                 30 
                 5 
               
                 1.11 
                 0.3700 
                 48.84 
                 1.5 
                 30 
                 5 
               
                 1.12 
                 0.3733 
                 48.34 
                 1.5 
                 30 
                 5 
               
                 1.13 
                 0.3767 
                 47.86 
                 1.5 
                 30 
                 5 
               
                 1.14 
                 0.3800 
                 47.39 
                 1.5 
                 30 
                 5 
               
                 1.15 
                 0.3833 
                 46.94 
                 1.5 
                 30 
                 5 
               
                 1.16 
                 0.3867 
                 46.50 
                 1.5 
                 30 
                 5 
               
                 1.17 
                 0.3900 
                 46.08 
                 1.5 
                 30 
                 5 
               
                 1.18 
                 0.3933 
                 45.68 
                 1.5 
                 30 
                 5 
               
                 1.19 
                 0.3967 
                 45.28 
                 1.5 
                 30 
                 5 
               
                 1.2 
                 0.4000 
                 44.90 
                 1.5 
                 30 
                 5 
               
                 1.21 
                 0.4033 
                 44.53 
                 1.5 
                 30 
                 5 
               
                 1.22 
                 0.4067 
                 44.17 
                 1.5 
                 30 
                 5 
               
                 1.23 
                 0.4100 
                 43.83 
                 1.5 
                 30 
                 5 
               
                 1.24 
                 0.4133 
                 43.49 
                 1.5 
                 30 
                 5 
               
                 1.25 
                 0.4167 
                 43.16 
                 1.5 
                 30 
                 5 
               
                 1.26 
                 0.4200 
                 42.85 
                 1.5 
                 30 
                 5 
               
                 1.27 
                 0.4233 
                 42.54 
                 1.5 
                 30 
                 5 
               
                 1.28 
                 0.4267 
                 42.25 
                 1.5 
                 30 
                 5 
               
                 1.29 
                 0.4300 
                 41.96 
                 1.5 
                 30 
                 5 
               
                 1.3 
                 0.4333 
                 41.68 
                 1.5 
                 30 
                 5 
               
                 1.31 
                 0.4367 
                 41.41 
                 1.5 
                 30 
                 5 
               
                 1.32 
                 0.4400 
                 41.15 
                 1.5 
                 30 
                 5 
               
                 1.33 
                 0.4433 
                 40.89 
                 1.5 
                 30 
                 5 
               
                 1.34 
                 0.4467 
                 40.65 
                 1.5 
                 30 
                 5 
               
                   
               
           
              
              
              
              
             
             
              
             
          
           
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
             
          
         
       
     
   
   
       7 . A method as set forth in one of  claims 1 - 2  characterized in that a first electromagnetic wave of the wavelength λ 1  and a second electromagnetic wave of the wavelength λ 2  are passed through the crystal in such a way that the propagation direction includes an angle θ+/−Δθ with the optical Z-axis and an angle φ+/−Δφ with the optical X-axis and the crystal is used to produce an electromagnetic wave of the wavelength λ 3 =λ 1 ·λ 2 /(λ 1 +λ 2 ) which is of a wavelength of less than 0.450 μm. 
   
   
       8 . A method as set forth in one of  claims 1 - 2  characterized in that a f i rst electromagnetic wave of the wavelength λ 3  and a second electromagnetic wave of the wavelength λ 2  are passed through the crystal in such a way that the propagation direction includes an angle θ+/−Δθ with the optical Z-axis and an angle φ+/−Δφ with the optical X-axis and the crystal is used to produce an electromagnetic wave of the wavelength λ 1 =λ 2 ·λ 3 /(λ 2 −λ 3 ) which is of a wavelength of less than 0.450 μm. 
   
   
       9 . A method as set forth in one of  claims 1 - 2  characterized in that an electromagnetic wave of the frequency λ 3  is passed through the crystal in such a way that the propagation direction includes an angle θ+/−Δθ with the optical Z-axis and an angle φ+/−Δφ with the optical X-axis and the crystal is used to produce an electromagnetic wave of the wavelength λ 1  and an electromagnetic wave of the wavelength λ 2  so that λ 3 =λ 1 ·λ 2 /(λ 1 +λ 2 ). 
   
   
       10 . A method as set forth in one of  claims 7  characterized in that λ 1 , λ 2 , λ 3 , θ, Δθ, φ, Δφ assume the values of a line of the following Table: 
     
       
         
               
               
               
               
               
               
               
             
                   
               
                 λ 1   
                 λ 2   
                 λ 3   
                 Type I 
                   
                   
                   
               
                 (μm) +/− 
                 (μm) +/− 
                 (μm) +/− 
                 Theta (°) +/− 
                 Δθ 
               
                 0.015 
                 0.015 
                 0.010 
                 3.0° 
                 (°) 
                 φ (°) 
                 Δφ (°) 
               
                   
               
                   
               
               
               
               
               
               
               
               
             
                 0.810 
                 0.632 
                 0.355 
                 42.9 
                 3.0 
                 0 
                 5 
               
                 1.064 
                 0.532 
                 0.355 
                 40.8 
                 3.0 
                 0 
                 5 
               
                 0.642 
                 0.454 
                 0.266 
                 64.5 
                 3.0 
                 0 
                 5 
               
                 0.722 
                 0.421 
                 0.266 
                 62.2 
                 3.0 
                 0 
                 5 
               
                 0.812 
                 0.396 
                 0.266 
                 59.6 
                 3.0 
                 0 
                 5 
               
                 0.982 
                 0.365 
                 0.266 
                 55.1 
                 3.0 
                 0 
                 5 
               
                 1.062 
                 0.355 
                 0.266 
                 53.3 
                 3.0 
                 0 
                 5 
               
                 1.342 
                 0.332 
                 0.266 
                 48.0 
                 3.0 
                 0 
                 5 
               
                 1.064 
                 0.266 
                 0.213 
                 72.1 
                 3.0 
                 0 
                 5 
               
                 1.326 
                 0.254 
                 0.213 
                 61.5 
                 3.0 
                 0 
                 5 
               
                 0.720 
                 0.355 
                 0.238 
                 77.8 
                 3.0 
                 0 
                 5 
               
                 0.720 
                 0.520 
                 0.302 
                 52.4 
                 3.0 
                 0 
                 5 
               
                 0.910 
                 0.720 
                 0.402 
                 37.7 
                 3.0 
                 0 
                 5 
               
                 0.910 
                 0.808 
                 0.428 
                 35.8 
                 3.0 
                 0 
                 5 
               
                 1.064 
                 0.532 
                 0.355 
                 40.8 
                 3.0 
                 0 
                 5 
               
                 1.062 
                 0.589 
                 0.379 
                 38.7 
                 3.0 
                 0 
                 5 
               
                 1.062 
                 0.751 
                 0.440 
                 34.6 
                 3.0 
                 0 
                 5 
               
                 0.810 
                 0.632 
                 0.355 
                 62.6 
                 2.5 
                 30 
                 5 
               
                 1.064 
                 0.532 
                 0.355 
                 51.5 
                 2.5 
                 30 
                 5 
               
                 0.982 
                 0.365 
                 0.266 
                 70.0 
                 2.5 
                 30 
                 5 
               
                 1.062 
                 0.355 
                 0.266 
                 64.9 
                 2.5 
                 30 
                 5 
               
                 1.342 
                 0.332 
                 0.266 
                 54.4 
                 2.5 
                 30 
                 5 
               
                 1.326 
                 0.254 
                 0.213 
                 69.9 
                 2.5 
                 30 
                 5 
               
                 0.910 
                 0.720 
                 0.402 
                 53.0 
                 2.5 
                 30 
                 5 
               
                 0.910 
                 0.808 
                 0.428 
                 51.5 
                 2.5 
                 30 
                 5 
               
                 1.064 
                 0.532 
                 0.355 
                 51.4 
                 2.5 
                 30 
                 5 
               
                 1.062 
                 0.589 
                 0.379 
                 49.5 
                 2.5 
                 30 
                 5 
               
                 1.062 
                 0.751 
                 0.440 
                 46.2 
                 2.5 
                 30 
                 5 
               
                 0.910 
                 0.720 
                 0.402 
                 64.2 
                 2.5 
                 30 
                 5 
               
                 0.910 
                 0.808 
                 0.428 
                 56.3 
                 2.5 
                 30 
                 5 
               
                 1.062 
                 0.751 
                 0.440 
                 59.5 
                 2.5 
                 30 
                 5 
               
                   
               
           
              
              
              
              
              
             
             
              
             
          
           
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
              
             
          
         
       
     
   
   
       11 . A method as set forth in  claim 10  characterized in that Δφ=1.5°. 
   
   
       12 . Use of a crystal of the family A x M 1-x X 3 (BO 3 ) 4  as a non-linear optical element to produce light of a wavelength of less than 0.450 μm, wherein both A and also M stand for an element from the group Y, La, Ce, Pr, Nd, Pm, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb and Lu, A≠M and X═Al, Ga, Sc and 0≦x≦1. 
   
   
       13 . A crystal of the family A x M 1-x X 3 (BO 3 ) 4 , wherein both A and also M stand for an element from the group Y, La, Ce, Pr, Nd, Pm, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb and Lu, A≠M and X═Al, Ga, Sc and 0≦x≦1, wherein the crystal has at least two substantially flat end faces, characterized in that at least one end face is oriented with respect to the crystallographic axes in such a way that upon normal incidence of an electromagnetic wave or two electromagnetic waves of differing wavelength onto said end face due to a non-linear optical effect an electromagnetic wave of a wavelength of less than 0.450 μm is produced. 
   
   
       14 . A crystal of the family A x M 1-x X 3 (BO 3 ) 4 , wherein both A and also M stand for an element from the group Y, La, Ce, Pr, Nd, Pm, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb and Lu, A≠M and X═Al, Ga, Sc and 0≦x≦1, wherein the crystal has at least two substantially flat end faces, characterized in that at least one end face is oriented with respect to the crystallographic axes in such a way that upon incidence of an electromagnetic wave or two electromagnetic waves of differing wavelength onto said end face at the Brewster angle due to a non-linear optical effect an electromagnetic wave of a wavelength of less than 0.450 μm is produced.

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