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

A method of producing ultraviolet light characterized in that a crystal of the family AxM1-xX3(BO3)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 is selected from the group consisting of Al, Ga, and Sc and 0≦x≦1, is used as a non-linear optical element to produce light of a wavelength of less than 0.360 μm, and wherein 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+/−Δφ with 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