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Porro prism

Porro prism 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 Porro prism rather than just read about it. In short: In optics, a Porro prism, named for its inventor Ignazio Porro, is a type of reflection prism used in optical instruments to alter the orientation of an image. Description It consists of a block of material shaped like a right geometric prism with right-angled triangular end faces.

Porro prism — main illustration
Porro prism — illustration

Key takeaways

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

Reference excerpt

In optics, a Porro prism, named for its inventor Ignazio Porro, is a type of reflection prism used in optical instruments to alter the orientation of an image.

Description It consists of a block of material shaped like a right geometric prism with right-angled triangular end faces. In operation, light enters the large rectangular face of the prism, undergoes total internal reflection twice from the sloped faces, and exits again through the large rectangular face. When the light enters and therefore exits the glass at normal incidence, the prism is not dispersive. An image travelling through a Porro prism is rotated by 180° and exits in the opposite direction offset from its entry point. While a single Porro prism can be constructed to work as well as a roof prism, it is seldom used as such. Therefore, to reduce the cost of production for a Porro prism, the edge of the roof is usually left out. Sometimes only one small window as an entrance surface and one window as exit surface are polished. The distinction between a roof prism and a Porro prism is that for the roof prism the roof edge lies in the same plane as entrance and exit beam, while for a Porro prism the (left out) roof edge is orthogonal to the plane formed by the beams. Furthermore, the roof prism has no displacement and a deviation typically between 45° and 90°, while in a single Porro prism the beam is typically deviated by 180° and displaced by a distance of at least one beam diameter. Porro prisms can reflect light rays that are not parallel to the optical axis in such a manner that they are internally reflected off the hypotenuse of the prism. Such an abaxial ray then emerges from the prism having been reflected a third time, thus introducing non image-forming stray light and reducing contrast. Abaxial reflections can be eliminated by putting a groove or notch across the width of the hypotenuse face center of the prism, which blocks these detrimental reflections.

Double Porro prism or Porro 1 optical system

Porro prisms are most often used in pairs, forming a double Porro prism. A second prism rotated 90° with respect to the first, is placed such that light will traverse both prisms. The net effect of the prism system is a beam parallel to but displaced from its original direction, with the image rotated 180°. A double Porro system provides four internal reflections. Since the light is reflected an even number of times, the image's handedness is not changed. Double Porro prism systems are used in small optical telescopes to re-orient an inverted image (an arrangement is known as an image erection system), and especially in many binoculars where they both erect the image and provide a longer, folded distance between the objective lenses and the eyepieces. When there is an air gap between the two prism there are four glass/air transition surfaces. Sometimes, the two components of the double Porro system are cemented together, and the prisms may be truncated to save weight and size and reduce glass/air transition surfaces to two and hence light transmission loss.

Porro 2 optical system There is also a Porro prism of the second type variant, which consists of three prisms of different shapes that can be and commonly are cemented together and also deflects the beam path four times by 90°. A double-reflecting half-cube prism is placed between two smaller, only once-reflecting half-cube prisms. The principal sections of the outer prisms are arranged at right angles to the central prism. Its advantage is that there is no vertical offset of the beam path. Porro prism of the second type optical systems are not very common and generally applied in larger and military binoculars.

Porro–Abbe and Porro–Perger optical system variants Another variant of the Porro prism of the second type with the same function is the Porro–Abbe prism; a two prisms variant that reduces the lateral beam axis offset by 23% compared to a traditional double Porro prism system in binoculars. The Porro–Abbe two prisms variant has been further developed into the Perger prism, which combines the properties of Porro and roof top prism, requiring only a small offset of the beam path and also enabling a measuring beam or an illuminated display to be reflected through the changed angle of the reflection surfaces and the cemented surface. As of 2013 Perger prisms are commercially used on a small scale in Perger–Porro prism system binoculars with integrated laser range finders.

Binoculars

Traditionally binoculars used a double Porro prism design, which resulted in a distinctive offset, zig-zag shape. Roof prism designs allow a simpler exterior, and are now common but they are more expensive to produce. Complicated production requirements make high-quality roof prism design binoculars relatively costly to produce compared to Porro prism designs of equivalent optical quality. Good-quality Porro prism design binoculars often feature about 1.5 millimetres (0.06 in) deep grooves or notches ground across the width of the hypotenuse face center of the prisms, to eliminate image quality reducing abaxial non image-forming reflections. As human eyes are ergonomically limited by their interpupillary distance the offset and separation of big (60+ mm wide) diameter objective lenses and the eyepieces becomes a practical advantage in a stereoscopic optical product. In the early 2020s the commercial market share of Porro prism type binoculars had become the second numerous compared to other prism type optical designs.

Use in cameras Most single lens reflex cameras use a roof pentaprism, and therefore have a distinctive top "peak". By contrast, a Porro prism allows a much tidier design, as used in the following models:

Olympus Pen F, FT and FV Olympus E-300

References

Illustrations

Porro prism: Total internal reflection in Porro prism
Total internal reflection in Porro prism
Porro prism: A single Porro prism
A single Porro prism
Porro prism: A double Porro prism system reflects light four times
A double Porro prism system reflects light four times
Porro prism: A typical double Porro prism binoculars design
A typical double Porro prism binoculars design

Worked examples

Example 1 — a first encounter with Porro prism

Start with the simplest possible case. Write down what Porro prism 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 Porro prism 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 Porro prism 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 Porro prism

In research
Porro prism 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 Porro prism 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
Porro prism is common in secondary-school and first-year university syllabi. It links to neighbouring topics Italian inventions, Prisms (optics), so understanding it makes those chapters shorter.
In everyday life
Look for Porro prism 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 Porro prism in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Porro prism 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 Porro prism out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Porro prism in simple terms?

In optics, a Porro prism, named for its inventor Ignazio Porro, is a type of reflection prism used in optical instruments to alter the orientation of an image. Description It consists of a block of material shaped like a right geometric prism with right-angled triangular end faces.

Why does Porro prism 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 Porro prism?

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 Porro prism.

Tags

  • Italian inventions
  • Prisms (optics)

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