Calcium Flouride CaF2 is commonly used for applications requiring high transmission in the infrared and ultraviolet spectral ranges. The material exhibits a low refractive index, varying from 1.35 to 1.51 within its usage range of 180 nm to 8.0 µm, as well as an extremely high laser damage threshold. Calcium fluoride is also fairly chemically inert and offers superior hardness compared to its barium fluoride, magnesium fluoride, and lithium fluoride cousins.
Zine Selenide Zinc Selenide is ideal fo use in the 600 nm 16 µm range. It features low absorption (including in the red visible wavelength range) and high resistance to thermal shock. ZnSe is ideal for use in CO2 laser systems operating at 10.6 µm, including those with HeNe alignment lasers. Please note that, due to its low hardness, care should be taken when handling ZnSe optics.
Germanium Due to its broad transmission range (2 - 16 µm) and opacity in the visible portion of the spectrum, Germanium is well suited for IR applications. Germanium has a refractive index of over 4 in the 2 - 16 µm range (see the Index of Refraction tab for details). It is also inert to air, water, alkalis, and acids (except nitric acid). Germanium's transmission properties are highly temperature sensitive. Germanium is nearly opaque at 100 °C and completely non-transmissive at 200 °C.
Please refer to the Prism Guide tab above for assistance in selecting the appropriate prism for your application. In addition to the IR-specific prisms shown here, Thorlabs offers a full line or prisms for use at wavelengths from 180 nm - 16 µm.
The index of refraction of various materials can be calculated via Sellmeier equations. Each material is empirically assigned a set of coefficients, through which the index of refraction can be calculated at any wavelength*.
Sellmeier Equation 1:
Sellmeier Equation 4:
Material**
K1
L1
K2
L2
K3
L3
λmin* (µm)
λmax* (µm)
Plot
CaF2
5.676 x 10-1
2.526 x 10-3
4.711 x 10-1
1.008 x 10-2
3.848
1.201 x 103
0.23
9.7
ZnSe
4.298
3.689 x 10-2
6.278 x 10-1
1.435 x 10-1
2.896
2.208 x 103
0.55
18.0
Material**
A
B
C
D
E
λmin* (µm)
λmax* (µm)
Plot
Ge
9.281
6.730
4.418 x 10-1
2.131 x 10-1
3.870 x 103
2.0
15.0
*The Sellmeier equation is only accurate within the wavelength range specified by λmin and λmax. **Sellmeier equation 1 should be used to calculate the index of ZnSe and CaF2, while Sellmeier equation 4 should be used to calculate the index of Ge.
If one were to use ray tracing techniques to determine the light propagation path due to the presence of the equilateral prism shown to the right, you would find that for most incidence angles, the angle of deviation of the transmitted ray (denoted by γ in the figure to the right) is roughly the same, regardless of the angle of incidence considered. However, although the angle of deviation is largely unchanged, there is a minimum value that is obtainable. This angle is known as the minimum angle of deviation; it occurs when the light ray passing through the prism is parallel to the prism's base (as shown to the right), and therefore, = β (i.e., the angle of the light ray entering the prism is identical to that of the light ray exiting the prism).
To illustrate the relationship between the incident, exit, and deviation angles in the triangle to the right, consider the equilateral triangle shown below, which is identical to the one shown to the right but has several more angles labeled. Using the geometric relationships that exist for vertical angles, it becomes apparant that A = - θ1 and C = β - θ2. Since the angles A, B, and C define a triangle, we know that A + B + C = 180o, and thus, B = 180o - (A + C) = 180o - [( - θ1) + (β - θ2)]. Finally, B + γ = 180o, so γ = 180o - B = [( - θ1) + (β - θ2)].
Now, consider the triangle outlined in green in the figure below. Here, (90 - θ1) + (90 - θ2) + 60o = 180o. Thus, θ1 + θ2 = 60o. Substituting this relationship into the end result derived in the previous paragraph, yields γ = + β - (θ1 + θ2) = + β - 60o.
For the angle of minimum deviation, = β, so there is a simple relationship between the angle of incidence and the angle of minimum deviation:
γ = + β - 60o = 2 - 60o
By applying Snell's Law to the interfaces of prism and using a little calculus, a general equation for the relationship between the index of refraction of the equilateral prism n and the angle of minimum deviation γ can be obtained:
At the design wavelength (633 nm), the indices of refraction for N-SF11 and F2 are 1.779 and 1.617, respectively. Solving for γ in the equation above yields 65.6o for N-SF11 and 47.9o for F2.
Selection Guide for Prisms
Thorlabs offers a wide variety of prisms, which can be used to reflect, invert, rotate, disperse, steer, and collimate light. Prisms are available in N-BK7, UV Fused Silica, F2, N-SF11, α-BBO, N-KZFS8, Ge, and CaF2. For prisms and substrates not listed below, please contact tech support.
Available in 10 mm and 25 mm sizes, Thorlabs' high precision CaF2, ZnsSe, and Ge IR Right Angle Prisms can be used to deviate a light path by 90° or 180°, depending on which surface is used as the input for the light source (see schematics below). Due to total internal reflection (TIR), the image to the upper right demonstrates how the right angle prism can be used as a 90o reflector. When the input light is incident on one of the prism's legs, it undergoes TIR at the glass/air boundary of the hypotenuse and exits via the other prism leg. This 90o deviation of the input light makes the right angle prism a suitable alternative for a mirror.
The second image above shows how the right angle prism can be used as a 180° retroreflector. When the input light is incident on the face of the hypotenuse, it undergoes total internal reflection (TIR) at the glass/air boundary at the prism legs. It undergoes TIR a second time at the next prism leg and exits the hypotenuse in a path parallel to that of the input beam. Like the retroreflector, the 180o deviation of the light path is independent of the angle at which the light enters the prism.
Our IR Dispersive Equilateral Prisms, which are fabricated from either CaF2, ZnSe, or Ge, are available in 10 mm or 25 mm sizes. These prisms create less stray light than diffraction gratings, thereby eliminating the higher order problems typically associated with gratings.
Dispersive prisms are typically used at the minimum angle of deviation. This is the angle for which the wavelength of interest will travel parallel to the base of the prism, and the angle of incidence is equal to the angle of refraction when measured with respect to the normal of the prism face at the respective interface (see the Equilateral Tutorial tab for more information). At the minimum angle of deviation, a maximum clear aperture is achieved and reflective loss of P-polarized light is reduced since the angle of incidence is nearly Brewster's angle. For S-polarization, a custom anti-reflective coating can be used to minimize surface reflections.