Practical Optics 2 - Notes on Lenses & Elastic Formats

thefilmbook by Benjamin B

This post is a brief reflection about focal lengths with multiple, "elastic" formats. It serves as an addendum to my previous in-depth post about Testing Different Sensor Sizes, and is aimed at students... like myself :)

whiteline775
Images & Optics of 2 focal lengths with 2 sensor sizes
Images & Optics of 2 focal lengths with 2 sensor sizes



1. Elastic Formats

2. Sensor Size and Focal Length

3. Smaller Sensor, Shorter Lens

4. Depth of Field, Backgrounds, Lens Personality

5. Rules of Thumb

Addendum. Calculating Movie Crop Factor




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1. Elastic Formats

A cinematic format is defined by the sensor size, the shape of the frame cropped on that sensor, as well as the type of lenses required (for example anamorphic versus spherical). Cinematographers today have an incredible array of formats to choose from, with a range of image sensors that goes from iPhone to IMAX.

Our contemporary cinematic culture is increasingly hybrid, featuring collages of different format sizes and resolutions to achieve different image textures, often in the same movie. Today's filmmakers readily mix film and digital, spherical and anamorphic, intercutting Super 35 with smaller and larger formats.

Red formats by Phil Holland
Red formats presented by Phil Holland
(click image for more detailed version)

Some cameras, notably the Red Epic, allow you to rapidly switch from one resolution to another by cropping the sensor to different sizes. For example you could choose to shoot the wide shots in 6K and the close-ups in 2K. Some promoters of UHD and 4K cameras go further and cite the ability to "shoot a wide shot and close-up at the same time" -- a dangerous proposition for cinematography, to say the least.

In a recent post, I wrote that digital projection has introduced Elastic Frames, enabling filmmakers to easily redefine the frame lines and aspect ratios in the same movie, and even in the same shot -- like Xavier Dolan did in Mommy (shot by André Turpin). In a similar vein, the current prodigal mix of cameras and sensor sizes is introducing filmmaking that uses "Elastic Formats".

I foresee future cinema screenings switching between multiple aspect ratios, formats, resolutions, dynamic ranges and speeds. Aesthetically, these multi-textured images would be a sign of our times. Technologically, this would enable the best quality with limited bandwidth.

whiteline775

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2. Sensor Size and Focal Length

Today's cinematographers have to be able to switch formats easily, sometimes on the same project, and choose the appropriate focal length. The test I shot with cinematographer Pierre-Hugues Galien, AFC, featuring Marion Delahousse and Kevin Felix-Lassa, offers a simple example of switching formats.

We shot with a Leica Vario-Elmarit-SL 24-90mm zoom on a Leica SL at f4, and cropped the full-frame sensor to 3 different sizes: 36x20mm (similar to a full-frame 35mm still photograph), 25x14mm (Super 35) and 11.95x6.72mm (Super 16). In one of our tests, we kept the same camera distance and the same field of view around Marion in the foreground, we then varied the focal length to keep the same camera foreground framing for each sensor size. Here's an example comparing Super 35 and Super 16.

Same Field of View at 5 Feet - close shot with 2 sensor sizes
Same Field of View at 5 Feet - close shot with 2 sensor sizes (click for image for larger size)

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3. Smaller Sensor, Shorter Lens

The optics behind this comparison is pretty simple. The frame is defined by the field of view at a given distance between the sensor and the subject. If you decrease the size of the sensor, you have to shorten the focal length to keep the same field of view.

A smaller sensor size implies a shorter focal length
A smaller sensor size implies a shorter focal length

Another way to look at this is to think about focal length and angle of view. A given focal length will always have the same angle of view with a given sensor size. When you switch to a smaller sensor size, the focal length's angle of view gets narrower, and the framing gets tighter, so you have to switch to a shorter focal length with a wider angle of view to keep the same framing.

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4. Depth of Field, Backgrounds, Lens Personality

In a way this test is similar to scouting or shooting interiors in a small location: you may find yourself in a corner or up against a wall to get a wide shot. The camera position is limited by the wall.

Similar Field of View at 5 Feet - wide shot with 3 sensor sizes
Wide shot with similar foreground frame, with 3 sensor sizes (click image for larger size)

Here, the camera position stays 5’ away from Marion in the foreground, with Kevin about 6’ behind her. We started at the zoom's widest angle of 24mm in Super 16, and then zoomed in to match the framing around Marion, going to 48mm in Super 35, and 67mm in 36x20 (Full Frame 35mm).

3 things to notice as we change sensor size:

1. The most apparent change is that the longer lenses of the larger formats have less depth of field than the wider ones of the smaller formats. This means that there is a dramatic isolation of Marion in the frame as we go to the bigger sensor and a longer focal length.

2. It’s also striking how identical the background compositions look when the camera doesn't move; Kevin and the painting maintain the same size for the three focal lengths. I imagine that we might see more background variation if we had shot at a closer distance to Marion, because the angles of view would be less aligned.

3. This is more subtle. The different focal lengths have different perspectives, the way they render space.

I call this the "personality" of the focal lengths. Notice:

– the portraiture of Marion's face, and how it flattens a little with the longer focal lengths

– the appearance of depth in the image is reduced with longer lenses

Note that, as with humans, aberrations and imperfections can enrich a lens' personality :)

A key takeaway from sensor comparisons is that, at the same distance, larger formats require longer lenses for similar compositions. This is one reason many filmmakers compare 35mm anamorphic to 65mm. To achieve the same composition at a given distance in 65mm, you need to roughly double the focal length used in Super 35. This is comparable to the doubling of focal length when going from Super 35 spherical to 35mm anamorphic.

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5. Rules of Thumb

One question that comes up as you switch sensor sizes is: which focal length will give me the same framing?

If you're shooting in Super 35 with a 50mm, which focal length will give you the same frame at the same camera position in Super 16? Or in Full Frame 35mm? Or in 65mm?

To address this question of equivalent focal lengths, photographers came up with the crop factor. The crop factor uses Full Frame 35mm (36x24mm) as the reference, and compares all other formats to that. For many cinematographers, it may make more sense to use a movie crop factor, with a motion picture reference instead of a photographic one. If you know how lenses frame in Super 35, then you can estimate how lenses in other formats would translate to Super 35 focal lengths.

Here are some Rules of Thumb for equivalent lenses for different sensors:

1. Super 16 is just about half Super 35. A 21mm in Super 35 is equivalent to a 10mm in Super 16

2. Super 35 is almost two-thirds of Full Frame 35. A 21mm in Super 35 is equivalent to a 30mm in Full Frame

(divide by two and multiply by three).

3. Super 35 is about half of 65mm. A 21mm in Super 35 is equivalent to a 42mm in 65mm.

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Addendum. Calculating Movie Crop Factor

I like to use sensor widths for crop factors (although you can use diagonals or heights as well).

To calculate a crop factor between reference sensor A and another sensor B, simply divide B width by A width.

Two examples:

Reference sensor width: 25 mm (Super 35)

Sensor B: 36mm (Full Frame still)

Crop factor for Reference sensor A = 25mm / 25mm = 1

Crop factor for Sensor B: 36mm / 25mm = 1.44

-- What is the equivalent in Full Frame to a 100mm in Super 35?

100mm x 1.44 Crop Factor = 144mm

Reference sensor width: 25 mm (Super 35)

Sensor C: 11.95mm (Super 16)

Crop factor for Reference sensor A = 25mm / 25mm = 1

Crop factor for Sensor C: 11.95mm / 25mm = 0.48

-- What is the equivalent in Super 16 to a 100mm in Super 35?

100mm x 0.48 Crop Factor = 48mm

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LINKS

Pierre-Hugues Galien

web site

stills

FORMATS

phfx.com: Phil Holland's web site has many great resources

reduser.net: Phil Holland's Red Dragon Info and Data Sheets

blog.abelcine.com: 35mm Digital Sensors - Relative Fields of View in 16x9 -pdf

aarirental.com: Arri Format Guide -pdf

CW Sonderoptic web site

Leica

en.leica-camera.com: Leica SL

en.leica-camera.com: Vario-Elmarit-SL 24-90 mm f/2.8-4 zoom lens

Panavision white papers


THEFILMBOOK

The Elastic Frame

Practical Optics 1 - Testing Different Sensor Sizes

Practical Optics 2 - Notes on Lenses & Elastic Formats

Practical Optics 3 - Introduction to Anamorphic 


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Test photos & optics illustration © Benjamin B - thefilmbook 2016

feel free to use images on the web, but please credit and link back

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