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In still photography, SLR cameras and DSLR cameras have a mirror, which a linear polarizer can cross polarize, causing the image to darken or go black.
With a circular pol, the quarter wave plate on the rear of the polarizer spins the light before it enters the camera lens so that it doesn't get cross polarized on any reflective surfaces in the system, such as the partial mirror in a video tap or a DSLR mirror.
A key facet of dispersion is that the refractive index of a medium is not constant but varies with the wavelength of the light. This variation, termed as dispersion, results in different colors refracting by different amounts in a prism.
The dispersion of light in a prism can be visualized by considering a beam of white light, which is a mixture of different colors or wavelengths, entering a prism. Each constituent color refracts at a different angle, which can be calculated using Snell’s law. This refraction leads to the fanning out of white light into a spectrum of colors.
Lindsey Optics offers both circular and linear polarizers in professional cine sizes in 4.5" Round Drop-In, 138mm Round Drop-In, and 4"x5.65" and Rota-Pols in 4x5.65" and 6.6x6.6" all with anti-reflection coating.
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Dispersionof light through prism experiment
With drop-in filters, rectangular filters and Rota-Pols for cine matte boxes, circular polarizing filters are labeled with “this side out”.
However, it’s vital to note that this model is a simplification. It doesn’t account for the precise shape of the prism, the refractive indices of the prism material at different light wavelengths, or the exact angle at which the light enters the prism. Each of these factors would influence the paths and angles of the refracted light rays.
Dispersionof light through prism diagram
So if you are asking the question: "Do I need a circular or linear polarizer?", we hope we've given you enough information to make that decision.
Our Rota-Pol a circular polarizer made to fit in 4"x5.65" cine matte boxes and allow quick and easy rotation by hand or with a motor:
Prismatic dispersionexamples
The classic problem in 35mm film production was the video tap. Using a linear polarizer on a film camera with a video tap, could and often would cause the video feed to go dark because the partially silvered mirror in the video tap would get cross polarized. A very similar cross polarization is used to create Variable Neutral Density Filters with ND values between ND 0.6 (2 Stops) and ND 2.4 (8 stops). 8 stops means that only about 0.39% of the light gets past the filter. A Neutral Density Filter with an ND Value of ND 2.4 can be used to allow opening the aperture in a lens for shallow depth of field, or slow a shutter for various effects . . . it is not a good thing to do accidentally in an optical system with a mirror.
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In this visualization, we represent a prism as a triangle, with an incident beam of white light entering one side. As this light traverses the prism, it refracts and splits into a spectrum of colors, each color emerging at a slightly different angle. For the sake of simplicity, we choose arbitrary angles of refraction for each color.
Dispersionof light through prism
The main problem that the circular polarizer addresses is cross polarization on other reflective surfaces in your system such as mirrors and beam splitters. Reflective surfaces polarize light . . . which is why a polarizer can reduce or eliminate those reflections. If you have a mirror or other reflective surface inside your camera, a linear polarizer can cross polarize the reflected image and possibly black out the image.
Newton’s revelations about light and color lead us to an understanding of dispersion, which occurs when white light enters a prism and its constituent colors are refracted, or bent, by different amounts. This differentiation in refraction emerges because the refractive index of a medium varies with the wavelength of the light.
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Through this exploration of light dispersion, we have journeyed from the abstract laws of physics to the tangible beauty of a light spectrum. The dance of light, choreographed by nature and rendered in the language of mathematics, continues to captivate our curiosity, inviting us to further unravel the mysteries of the cosmos.
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The refractive index of a medium n for a particular wavelength of light λ can be empirically represented using the Cauchy’s equation:
Prismatic dispersionformula
In this equation, n1 and n2 are the refractive indices of the two media, while θ1 and θ2 are the angles of incidence and refraction respectively. The refractive index is an indication of how much a medium refracts or bends light.
Prismdispersionformula
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The resulting plot showcases a dazzling array of colors emerging from the prism, a testament to Newton’s groundbreaking experiments on light and color. This simple model, albeit an oversimplification, provides a rudimentary understanding of the dispersion of light.
Circular Polarizers contains a Linear Polarizer component that does the main work of polarization, as well as a second layer inside the filter called a Quarter Wave Plate, which “spins” the light after it goes through the linear layer and before it enters the camera lens.
Prismatic dispersionin physics
While our initial model provided an overview of the dispersion phenomenon, it is the visual representation that truly brings the concept to life. To illustrate the beautiful spread of colors that emerge from a beam of white light entering a prism, we can create a simple plot using Python’s Matplotlib library.
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The short answer is that both Linear and Circular Polarizers do the same thing. The actual polarization effects such as reducing reflections on glass surfaces, increasing color saturation in foliage, darkening a blue sky are the same with both Linear and Circular polarizers.
However, it’s crucial to bear in mind the limitations of this model. The paths and angles of the light rays exiting the prism would depend on several factors, including the exact shape of the prism, the refractive indices of the prism material at different wavelengths of light, and the precise angle at which the light enters the prism. As such, this model serves as a stepping stone for more advanced simulations, which would require specialized optical simulation software or libraries to encapsulate the intricacies of light dispersion.
Prismatic dispersionnotes
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Polarizers used in cinematography are often inserted in a matte box so there's an opportunity to insert a circular pol backwards and it doesn't polarize when inserted incorrect.
The understanding of light dispersion transcends academic curiosity. Its implications echo across various scientific and technological domains, from designing optical instruments to comprehending atmospheric phenomena like rainbows. As we continue exploring the dance of light, we are reminded of the exquisite choreography of the universe, a ballet of energy and matter, enacted by the laws of physics, and rendered in the language of mathematics.
Circular polarizers for cinematography are marked to show proper orientation, but mistakes happen. If you have no mirrors or reflective surfaces in your system, such as a mirror or a beam splitter . . . then the Linear-Pol will not cause you any trouble and you can’t put it in the matte box backwards, which might save you some time and trouble.
Here, A, B, C, etc. are constants that are specific to the material of the medium. This equation tells us that the refractive index of a medium decreases as the wavelength of the light increases, which is why shorter wavelengths (like blue or violet) are refracted more than longer wavelengths (like red or orange) when light enters a prism.
The linear polarizer element in a circular polarizer needs to be out front, pointed at the world, with the quarter wave plate on the rear side, the camera lens side. A circular polarizer doesn’t work if you get it in backwards. With a screw-in filter that’s no issue, there's only one way you can screw it on the lens..
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