Right angle prisms—named for their 90° right-angle geometry (two legs of equal length and a hypotenuse)—are the workhorses of optical systems, using either total internal reflection (TIR) or mirrored surfaces to deflect beams by 90° or 180°.
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Their simple triangular design offers greater alignment tolerance than mirrors (which require precise tilt) and higher durability than coated optics (which can scratch or degrade). Unlike reflective coatings that fade over time (reducing reflectivity by 5-10% per year in harsh environments), TIR provides stable, low-loss reflection (reflectivity >99.9%) when operated within critical angle parameters (incident angle > critical angle for the material). This reliability makes right angle prisms indispensable in diverse applications, from consumer electronics (camera viewfinders) to defense systems (periscopes) .

Material Options: Schott BK7 (crown glass, ideal for visible-range applications, 400-700nm, >92% transmission at 550nm), Hoya fused silica (UV and NIR transmission, 185-2100nm, low thermal expansion), germanium (mid-IR, 2-14μm, high refractive index for TIR in IR), and sapphire (high hardness and temperature resistance, suitable for harsh environments). BK7 is cost-effective for general use (e.g., mirrors in toys), while fused silica is preferred for UV lasers (e.g., 248nm excimer lasers) or high-temperature systems. Infrared caters to IR thermal imaging, and sapphire is used in industrial sensors exposed to vibration or dust .
Critical Specifications: Angular tolerance <2 arcseconds (ensuring precise 90° or 180° deflection— a 1 arcsecond deviation causes a 0.00028° error in beam direction), surface quality 20-10 or 10-5 (10-5 grade for high-sensitivity applications like astronomy), and flatness PV<1/10λ (at 632.8nm, ensuring the beam remains collimated after reflection). The hypotenuse (the reflection surface for TIR) is polished to a roughness <0.5nm, minimizing light scatter. For mirrored prisms, the hypotenuse is coated with aluminum, silver, or gold—each with distinct reflectivity ranges .
Reflection Modes: Two primary reflection modes:
Total Internal Reflection (TIR): Occurs when light travels from a higher-refractive-index material to a lower-refractive-index material (e.g., BK7 to air) and the incident angle > critical angle (BK7’s critical angle ~41° for visible light). TIR requires no coating, offers >99.9% reflectivity, and is ideal for visible applications (e.g., camera viewfinders) where coating degradation is a concern.
Mirror Coatings: Used when TIR is not possible (e.g., incident angle < critical angle or IR wavelengths). Aluminum coatings (400-1200nm, >85% reflectivity) are cost-effective for visible/NIR; silver coatings (400-2000nm, >95% reflectivity) offer high brightness but need a protective overcoat; gold coatings (800-14000nm, >98% reflectivity) excel in IR .
Size Range: From 2mm to 300mm with ±0.25mm dimensional tolerance. 2mm mini-prisms are used in micro-optics (e.g., smartphone camera sensors), 50mm prisms in lab instruments (e.g., spectrometers), and 300mm large prisms in aerospace systems (e.g., satellite telescopes). The prism’s leg length (the two sides forming the right angle) determines its clear aperture—for example, a 50mm leg length provides a ~35mm clear aperture (the maximum beam size the prism can handle) .
Environmental Resistance: Chemical and thermal stability varies by material:
BK7: Resists mild acids/bases, operates -20°C to 100°C.
Fused silica: Chemically inert, operates -40°C to 200°C.
Sapphire: Resists strong acids (except hydrofluoric acid), operates -273°C to 2000°C.
Infrared: Sensitive to moisture (oxidizes in humid air), requires a protective coating, operates -40°C to 100°C.
All prisms have scratch-resistant surfaces (Mohs hardness 6 for BK7, 7 for fused silica, 9 for sapphire), ensuring durability in frequent use .
These prisms are ubiquitous in:
Laser Technology: Beam steering in laser welding (automotive component joining, where 90° deflection directs the laser to hard-to-reach areas), surgery (ophthalmic lasers, where TIR prisms deflect the beam to the eye without coating degradation), and guidance systems (missile lasers, where sapphire prisms withstand high G-forces). In laser welding, mirrored prisms with high-damage-threshold coatings handle 100W+ laser powers, ensuring consistent deflection .
Defense & Aerospace: Periscopes (submarine or tank periscopes, where multiple right angle prisms deflect light to the viewer), rangefinders (military laser rangefinders, using TIR prisms for low-loss reflection), and security cameras (outdoor cameras, where weather-resistant sapphire prisms maintain performance in rain/snow). Submarine periscopes use 100-200mm BK7 prisms with AR coatings to reduce reflection losses, enabling clear viewing at depth .
Engineering: Laser scanning (industrial 3D scanners, where prisms deflect the laser beam across the object’s surface) and IR temperature sensors (manufacturing quality control, using germanium prisms to steer IR beams to the detector). 3D scanners use small (10-20mm) fused silica prisms for precise beam control, ensuring scan resolution <0.1mm. IR sensors rely on germanium prisms to handle 8-14μm wavelengths, critical for measuring temperatures of hot surfaces (e.g., engine parts) .
Consumer Electronics: Camera viewfinders (digital cameras, where TIR prisms reflect the image to the viewfinder) and optical sensors (smartphone face recognition, using small prisms to redirect IR light). Digital camera viewfinders use 5-10mm BK7 prisms with TIR, eliminating the need for coatings and reducing cost. Smartphone sensors use 2-5mm fused silica prisms, which fit in compact designs while maintaining IR transmission .
Q: When should I choose mirrored vs. TIR prisms?
A: Choose TIR prisms when:
The incident angle > critical angle (e.g., 41° for BK7 in visible light).
Long-term durability is critical (no coating to degrade).
Applications are in the visible range (TIR works best here).
Examples: Camera viewfinders, lab spectrometers.
Choose mirrored prisms when:
The incident angle < critical angle (e.g., wide-angle beam deflection).
Operating in UV or IR ranges (TIR is less effective—germanium’s critical angle ~17° for IR, making TIR hard to achieve).
High reflectivity is needed for low-light applications (e.g., night vision cameras).
Examples: IR thermal imaging, UV curing lasers .
Q: What causes reflection loss in TIR mode?
A: Reflection loss in TIR mode is minimal (<0.1%), but it can occur due to two factors:
Surface Contamination: Dust, oil, or moisture on the hypotenuse surface changes the refractive index of the air-prism interface, reducing the critical angle and causing partial reflection (loss <5%). Regular cleaning with lens tissue and isopropyl alcohol mitigates this.
Off-Axis Light: Light rays incident at angles < critical angle (off-axis rays) do not undergo TIR, leading to transmission losses (loss <1% for well-collimated beams). Using collimated light sources (e.g., lasers) or prisms with larger leg lengths (to increase the critical angle range) reduces this effect.
Anti-reflective coatings on the input/output faces (not the hypotenuse) also reduce loss by minimizing reflection at these surfaces .
Q: Can right angle prisms act as retroreflectors?
A: Yes, when used with parallel (collimated) input beams and oriented so the beam undergoes two TIR reflections. For example, a right angle prism can reflect a beam back along its original path if the beam enters one leg, reflects off the hypotenuse, and exits the other leg—this creates a 180° deflection. Retroreflector prisms are used in:
Laser rangefinders: The prism reflects the laser beam back to the source, allowing distance calculation (distance = speed of light × time of flight / 2).
Road safety: Reflective markers on roads use small right angle prisms to reflect car headlights back to the driver, improving visibility.