Surface Quality: Understanding Scratch-Dig Specifications

A practical engineering guide to the MIL-PRF-13830B scratch-dig standard — what the numbers mean, how to specify correctly, and how to avoid paying for surface quality you do not need.

Table of Contents

  1. What Scratch-Dig Means
  2. Understanding the Scratch Number
  3. Understanding the Dig Number
  4. Common Specifications by Application
  5. Cost Implications of Surface Quality
  6. Surface Roughness vs Scratch-Dig
  7. How to Specify Correctly
  8. Inspection Methods
  9. Frequently Asked Questions

What Scratch-Dig Means

Scratch-dig is the most widely used surface quality specification in the optical industry, defined by the US military standard MIL-PRF-13830B (formerly MIL-O-13830). It provides a quick, standardized way to communicate the maximum allowable size of surface defects on an optical element.

A scratch-dig specification is written as two numbers separated by a dash, for example: 60-40, 40-20, 20-10, or 10-5. The first number is the scratch number; the second is the dig number.

Importantly, scratch-dig is a comparative standard. Inspectors compare observed defects against calibrated reference standards under controlled illumination (typically a long-wave UV lamp or diffuse white light against a dark background). It is not a direct dimensional measurement — it is a width comparison against certified scratch and dig standards.

Understanding the Scratch Number

The scratch number indicates the width of the widest allowable scratch, expressed in units of 0.001 mm (1 μm). A scratch number of 80 means the widest visible scratch must not exceed 0.08 mm (80 μm) in width.

Scratch Number Width (μm) Width (mm) Visibility Typical Use
80 80 0.080 Clearly visible under inspection light Rough industrial, non-critical
60 60 0.060 Visible under inspection light General purpose optics
40 40 0.040 Moderately visible Imaging systems, moderate quality
20 20 0.020 Faint under inspection light Laser systems, precision optics
10 10 0.010 Very difficult to see High-precision, lithography, space

The scratch number also governs the cumulative length of scratches. Per MIL-PRF-13830B, the total length of scratches at the specified width must not exceed certain limits based on the optic diameter. Narrower scratches (lower number) are allowed to be longer; wider scratches must be shorter. The standard provides specific formulas for this tradeoff.

Key Insight A “scratch” is defined as a linear defect whose length exceeds 4× its width. Shorter defects are classified as “digs” or “pits.” This distinction matters during inspection: a long narrow mark and a short wide mark are categorized differently.

Understanding the Dig Number

The dig number indicates the diameter of the largest allowable pit (circular defect), expressed in units of 0.01 mm (10 μm). A dig number of 10 means no pit may exceed 0.10 mm (100 μm) in diameter.

Dig Number Diameter (μm) Diameter (mm) Appearance Impact
100 1,000 1.00 Large, obvious pit Unacceptable for most optical use
50 500 0.50 Large pit Rough industrial use only
20 200 0.20 Moderate pit, visible General purpose optics
10 100 0.10 Small pit Laser, imaging, precision
5 50 0.05 Very small pit High-precision optics
2 20 0.02 Microscopic Precision, lithography, space optics

Per the standard, the total area of all digs on the optic must not exceed a specified fraction of the clear aperture. For most specifications, the allowable number of digs of the maximum size is limited to prevent clustering.

Common Specifications by Application

The following table provides typical scratch-dig specifications for common optical applications. These are guidelines — your specific system requirements may differ. For reference, our optical flats are held to 20-10 or better surface quality, while our precision optical windows and high precision mirrors are available across the full scratch-dig range.

Application Typical Scratch-Dig Why This Level
General purpose (windows, mirrors for alignment) 60-40 Defects have minimal impact on beam quality or transmission
Imaging systems (camera lenses, microscope objectives) 40-20 Surface defects scatter light, reducing contrast and creating artifacts
Laser systems (beam steering, focusing, windows) 20-10 Scratches act as stress concentrators and laser damage initiation sites
Precision optics (interferometer flats, reference surfaces) 10-5 Any surface defect degrades wavefront quality and measurement accuracy
High-power laser (fusion research, industrial cutting) 10-5 or better Surface defects cause localized absorption leading to catastrophic damage
Space optics (satellite instruments) 20-10 to 10-5 Cannot be cleaned or replaced; contamination and defects accelerate degradation
Consumer optics (eyepieces, simple magnifiers) 80-50 Human eye tolerance; cost is primary driver
Fiber optic collimators 40-20 Back-reflection and insertion loss sensitivity
Engineering Tip When in doubt, specify 40-20 for transmissive optics and 60-40 for reflective optics used in non-imaging roles. This covers 80% of general industrial applications without over-specifying. Tighten only when your system analysis shows that surface defects actually impact performance.

Cost Implications of Surface Quality

Tighter scratch-dig specifications increase cost through multiple mechanisms:

Specification Relative Cost Factor Why It Costs More
80-50 1.0× (baseline) Standard polishing; most blanks meet this easily
60-40 1.0–1.2× Minimal cost increase; still within standard process capability
40-20 1.3–1.5× More careful handling, additional inspection time, potential rework
20-10 1.5–2.0× Extended polishing, clean-room handling, 100% inspection under calibrated light
10-5 2.0–3.0× Precision polishing, class-100 cleanroom, multiple inspection passes, high yield loss

The cost drivers are not just the polishing time. Tighter specs require:

Don’t Over-Specify Specifying 20-10 when 60-40 is sufficient can increase cost by 50–100% with zero performance benefit. Always justify the scratch-dig requirement based on your system’s actual sensitivity to scattered light, laser damage threshold, or imaging contrast. Ask: “What problem does this surface defect actually cause in my system?”

Surface Roughness vs Scratch-Dig

Surface roughness (Ra or RMS) and scratch-dig measure different things, and both may need to be specified:

Parameter What It Measures Unit Typical Values
Scratch-Dig Discrete defects (scratches, pits) — localized damage events Dimensionless (comparative) 60-40 to 10-5
Surface Roughness (Ra) Average height variation of the entire surface texture Nanometers (nm) or Ångströms (Å) 0.5–5 nm RMS typical
Total Integrated Scatter (TIS) Total light scattered from surface roughness Percentage or fraction < 0.1% for polished optics

An optic can have excellent scratch-dig (no visible defects) but poor surface roughness (high scatter), or vice versa. For laser and imaging applications, both parameters matter. Roughness controls diffuse scatter; scratch-dig controls discrete scatter sites.

For most polished optical surfaces, standard polishing produces Ra < 1 nm RMS. When scatter is critical, specify both scratch-dig AND surface roughness separately.

How to Specify Correctly

When writing scratch-dig into your optical drawing or purchase order, follow these best practices:

  1. Specify per surface: If front and back surfaces have different requirements, note each separately. Example: “Front: 20-10, Back: 40-20.”
  2. Define the clear aperture: Scratch-dig applies to the clear aperture only. Edge defects (chips, bevel damage) are typically excluded unless specifically called out.
  3. Reference the standard: State “Per MIL-PRF-13830B” to avoid ambiguity. Some vendors use ISO 10110-7, which has a different numbering system.
  4. Do not specify tighter than needed: Each step down (e.g., 40-20 to 20-10) adds 30–100% cost. Justify the requirement with system-level analysis.
  5. Consider combined specs: If scatter is also critical, add surface roughness: “Scratch-Dig: 20-10 per MIL-PRF-13830B; Surface Roughness: < 1.0 nm RMS.”
  6. Note inspection conditions: For critical optics, specify inspection illumination type (UV, white light), intensity, and viewing angle.

Inspection Methods

Scratch-dig inspection per MIL-PRF-13830B uses the following standard approach:

For automated or quantitative inspection, some manufacturers use dark-field microscopy with digital image analysis. This provides objective, repeatable measurements but requires correlation to the visual comparison standard for acceptance/rejection decisions.

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Frequently Asked Questions

What does a 60-40 scratch-dig specification mean?

A 60-40 specification means: the widest allowable scratch has a width of 0.060 mm (scratch number 60 = 60 × 0.001 mm), and the largest allowable pit has a diameter of 0.40 mm (dig number 40 = 40 × 0.01 mm). This is the most common specification for general-purpose optics and provides a good balance between quality and cost.

Does a tighter scratch-dig always improve optical performance?

Not necessarily. In imaging systems, tighter scratch-dig reduces scatter and improves contrast. But for a simple window used in a non-imaging alignment system, 60-40 and 20-10 will perform identically. The improvement only matters if surface defects are in the signal path of a scatter-sensitive application. Always tie the specification to a system-level requirement.

What is the difference between MIL-PRF-13830B and ISO 10110-7 for surface quality?

Both standards define surface quality for optical elements, but they use different numbering systems. MIL-PRF-13830B uses the traditional scratch-dig numbers (e.g., 40-20). ISO 10110-7 uses a numerical code (e.g., 5/40×20) where the first number indicates the total allowed defect area and subsequent numbers describe scratch and dig limits. When ordering from international suppliers, specify which standard you are referencing to avoid confusion.

Can surface quality affect laser damage threshold?

Yes, significantly. Surface scratches and digs act as stress concentrators and local field enhancement sites where laser damage can initiate at lower fluence than the bulk material would otherwise support. For high-power laser optics, specify 20-10 or tighter, combined with high-quality polishing (Ra < 0.5 nm RMS) and IBS-deposited coatings. Many laser damage events originate at surface defects, not coating or substrate bulk.

How much does improving scratch-dig from 60-40 to 20-10 cost?

Typically 50–100% increase in fabrication cost for the same optic. The cost comes from extended polishing time, more careful handling (clean-room conditions), 100% inspection under calibrated illumination, and lower yield. For a standard Ø25 mm BK7 plano-convex lens, the difference might be $10–20 per unit. For large optics (>Ø100 mm), the cost difference scales significantly.

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