MgF2 Coating

|K WONG

The MgF₂ Coating refers to an anti-reflective (AR) coating made from Magnesium Fluoride (MgF₂ ). It is one of the most common and historically important anti-reflective coatings used on optical components, such as lenses, prisms, and windows.

Here is a breakdown of what MgF₂ coatings are, how they work, and their key characteristics.

What is Magnesium Fluoride (MgF₂ )?

Magnesium fluoride is an inorganic compound. In its pure form, it is a white crystalline powder or a transparent crystal. It has several properties that make it highly desirable for optical applications:

  • Low Refractive Index: It has a low refractive index (n 1.38 at visible wavelengths).
  • Broad Transparency: It is transparent over an extremely wide range of wavelengths, from the deep ultraviolet (around 120 nm) through the visible spectrum and into the mid-infrared (around 8000 nm).
  • Durability: It forms a physically hard and durable layer when deposited into a thin film.

Why Coat Optics?

When light passes from air into an optical material (like glass), a portion of that light is reflected back at the interface due to the difference in their refractive indices. For typical optical glass, this reflection is about 4% to 5% per surface. In a multi-lens system (like a camera lens or microscope), these reflections compound, leading to:

  • Reduced Light Transmission: Less light reaches the sensor or eye, making the image dimmer.
  • Ghosting and Flare: Reflected light can bounce back and forth between lens surfaces, causing unwanted optical artifacts that degrade image contrast and clarity.

Anti-reflective coatings are applied to minimize these surface reflections.

How MgF₂ Coating Works (Single-Layer AR Coating)

An MgF₂ coating acts as a single-layer anti-reflective (AR) coating. It works on the principle of destructive interference.

  1. Application: A very thin, precise layer of MgF2 is deposited onto the surface of the glass (typically using physical vapor deposition in a vacuum chamber).
  2. Optical Thickness: The coating is applied with a specific thickness—usually one-quarter of the wavelength (λ/4) of the light it is designed to cancel out.
  3. Destructive Interference: When light hits the coated lens, two reflections occur: one from the top surface of the MgF2 layer and one from the boundary between the MgF2 layer and the glass. Because the coating is a quarter-wavelength thick, the light reflected from the inner boundary travels an extra half-wavelength total (quarter in, quarter out). This means the two reflected waves are 180° out of phase. They cancel each other out through destructive interference.
  4. Refractive Index Matching: For perfect cancellation, the refractive index of the coating (n_coating) should ideally be the geometric mean of the refractive indices of air (n_air ≈ 1) and the glass (n_glass). 

n_coating = √(n_air * n_glass)

Since typical glass has an index around 1.5, the ideal coating index would be roughly 1.22. While MgF2's index of 1.38 isn't perfect, it is the closest practical, durable material available, making it highly effective at reducing reflections.

Key Characteristics of MgF2 Coatings

Advantages:

  • Significant Reflection Reduction: It reduces the surface reflection of typical glass from about 4% down to around 1.2% - 1.5%.
  • Durability and Hardness: MgF₂ coatings are robust, scratch-resistant, and can withstand regular cleaning.
  • High Laser Damage Threshold: It is suitable for applications involving high-power lasers.
  • Broad Transparency: It can be used for UV, visible, and IR optics.
  • Cost-Effective: It is relatively simple and inexpensive to apply compared to more complex multi-layer coatings.

Limitations:

  • Wavelength Specificity: As a single-layer coating, it is optimized for a specific wavelength (usually in the middle of the visible spectrum, like green light). While it reduces reflections across the visible spectrum, its efficiency decreases towards the blue and red ends. This is why MgF₂ coated lenses often have a faint blue or purple reflection.
  • Performance: It cannot achieve the near-zero reflection (often <0.5%) possible with modern, multi-layer broadband anti-reflective (BBAR) coatings.

Summary

MgF₂ coating is a fundamental and widely used single-layer anti-reflective coating. While modern high-end optics often use complex multi-layer coatings to achieve better broadband performance, MgF₂ remains an industry standard for many applications due to its excellent balance of reflection reduction, extreme durability, broad transparency, and cost-effectiveness.