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Neutral-density filter

Neutral-density filter is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Neutral-density filter rather than just read about it. In short: In photography and optics, a neutral-density filter, or ND filter, is a filter that reduces or modifies the intensity of all wavelengths, or colors, of light equally, giving no changes in hue of color rendition. It can be a colorless (clear) or grey filter, and is denoted by Wratten number 96.

Neutral-density filter — main illustration
Neutral-density filter — illustration

Key takeaways

  • Neutral-density filter belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Neutral-density filter to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Neutral-density filter from memory before moving on to harder problems.

Reference excerpt

In photography and optics, a neutral-density filter, or ND filter, is a filter that reduces or modifies the intensity of all wavelengths, or colors, of light equally, giving no changes in hue of color rendition. It can be a colorless (clear) or grey filter, and is denoted by Wratten number 96. The purpose of a standard photographic neutral-density filter is to reduce the amount of light entering the lens. Doing so allows the photographer to select combinations of aperture, exposure time and sensor sensitivity that would otherwise produce overexposed pictures. This is done to achieve effects such as a shallower depth of field or motion blur of a subject in a wider range of situations and atmospheric conditions. For example, one might wish to photograph a waterfall at a slow shutter speed to create a deliberate motion-blur effect. The photographer might determine that to obtain the desired effect, a shutter speed of ten seconds was needed. On a very bright day, there might be so much light that even at minimal film speed and a minimal aperture, the ten-second shutter speed would let in too much light, and the photo would be overexposed. In this situation, applying an appropriate neutral-density filter is the equivalent of stopping down one or more additional stops, allowing the slower shutter speed and the desired motion-blur effect.

Mechanism The term "neutral-density filter" refers to any filter that blocks a range of wavelengths evenly, so mechanisms and constructions vary. Reflective ND filters use thin coatings to reflect light. The coatings vary in composition, often consisting of metal ions, and can be specialized for use-case and spectrum. Absorptive filters change the composition of the glass itself, and may include an anti-reflective coating. For an ND filter with optical density d, the fraction of the optical power transmitted through the filter can be calculated as

Fractional transmittance ≡ I I 0 = 10 − d , {\displaystyle {\text{Fractional transmittance}}\equiv {\frac {I}{I_{0}}}=10^{-d},}

where I is the intensity after the filter, and I0 is the incident intensity.

Uses

The use of an ND filter allows the photographer to use a larger aperture that is at or below the diffraction limit, which varies depending on the size of the sensory medium (film or digital) and for many cameras is between f/8 and f/11, with smaller sensory medium sizes needing larger-sized apertures, and larger ones able to use smaller apertures. ND filters can also be used to reduce the depth of field of an image (by allowing the use of a larger aperture) where otherwise not possible due to a maximal shutter speed limit. Instead of reducing the aperture to limit light, the photographer can add a ND filter to limit light, and can then set the shutter speed according to the particular motion desired (blur of water movement, for example) and the aperture set as needed (small aperture for maximal sharpness or large aperture for narrow depth of field (subject in focus and background out of focus)). Using a digital camera, the photographer can see the image right away and choose the best ND filter to use for the scene being captured by first knowing the best aperture to use for maximal sharpness desired. The shutter speed would be selected by finding the desired blur from subject movement. The camera would be set up for these in manual mode, and then the overall exposure adjusted darker by adjusting either aperture or shutter speed, noting the number of stops needed to bring the exposure to that which is desired. That offset would then be the amount of stops needed in the ND filter to use for that scene.

Examples of this use include:

Blurring water motion (e.g. waterfalls, rivers, oceans). Reducing depth of field in very bright light (e.g. daylight). When using a flash on a camera with a focal-plane shutter, exposure time is limited to the maximal speed (often 1/250th of a second, at best), at which the entire film or sensor is exposed to light at one instant. Without an ND filter, this can result in the need to use f/8 or higher. Using a wider aperture to stay below the diffraction limit. Reduce the visibility of moving objects. Add motion blur to subjects. Extended time exposures Neutral-density filters are used to control exposure with photographic catadioptric lenses, since the use of a traditional iris diaphragm increases the ratio of the central obstruction found in those systems, leading to poor performance. ND filters find applications in several high-precision laser experiments because the power of a laser cannot be adjusted without changing other properties of the laser light (e.g. collimation of the beam). Moreover, most lasers have a minimal power setting at which they can be operated. To achieve the desired light attenuation, one or more neutral-density filters can be placed in the path of the beam. Large telescopes can cause the Moon and planets to become too bright and lose contrast. A neutral-density filter can increase the contrast and cut down the brightness, making these objects easier to view.

Varieties

… excerpt ends here. Continue reading the full article.

Illustrations

Neutral-density filter: A demonstration of the effect of a neutral density filter. Note that the photograph was exposed for the view through the filter, and thus the remainder of the scene is overexposed. If the exposure had instead been set for the unfiltered background, it would appear properly exposed while the view through the filter would be dark.
A demonstration of the effect of a neutral density filter. Note that the photograph was exposed for the view through the filter, and thus the remainder of the scene is overexposed. If the exposure had instead been set for the unfiltered background, it would appear properly exposed while the view through the filter would be dark.
Neutral-density filter: A set of ND filters
A set of ND filters
Neutral-density filter: Comparison of two pictures showing the result of using an ND filter at a landscape. The first one uses only a polarizer, and the second one a polarizer and a 1000× ND filter (ND3.0), which allowed the second shot to have a much longer exposure, smoothing any motion.
Comparison of two pictures showing the result of using an ND filter at a landscape. The first one uses only a polarizer, and the second one a polarizer and a 1000× ND filter (ND3.0), which allowed the second shot to have a much longer exposure, smoothing any motion.
Neutral-density filter: Neutral-density filters are often used to achieve motion-blur effects with slow shutter speeds.
Neutral-density filters are often used to achieve motion-blur effects with slow shutter speeds.

Worked examples

Example 1 — a first encounter with Neutral-density filter

Start with the simplest possible case. Write down what Neutral-density filter claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Neutral-density filter before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Neutral-density filter ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Neutral-density filter

In research
Neutral-density filter appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Neutral-density filter in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Neutral-density filter is common in secondary-school and first-year university syllabi. It links to neighbouring topics Optical filters, so understanding it makes those chapters shorter.
In everyday life
Look for Neutral-density filter outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Neutral-density filter in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Neutral-density filter means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Neutral-density filter out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Neutral-density filter in simple terms?

In photography and optics, a neutral-density filter, or ND filter, is a filter that reduces or modifies the intensity of all wavelengths, or colors, of light equally, giving no changes in hue of color rendition. It can be a colorless (clear) or grey filter, and is denoted by Wratten number 96.

Why does Neutral-density filter matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Neutral-density filter?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Neutral-density filter.

Tags

  • Optical filters

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