Calculating exposure times
General terms Long exposure Photography is closely related to Neutral Density filters which are semi-transparent pieces of glass that get placed in front of your lens. What makes them special, however, is that they obstruct a precisely controlled fraction of incoming light, and do so uniformly. The obstruction also aims to be equal across the visible spectrum, thereby not introducing a color cast (although this isn’t always the case). This last characteristic also happens to be why it’s called a neutral density filter. Even though they might appear gray or even opaque to our eyes, this isn’t how your photo will appear; the camera’s metering automatically compensates by letting in more light. However, the viewfinder will still appear very dark, so photographers often compose their image prior to placing the filter in front of the lens. Unfortunately for consumers, manufacturers do not use a standardized classification system to describe the strength of their filters. For example, B+W designate its 1000x grey filter after the f-stop reduction: 110, while others like Formatt Hitech, Lee designate their filters using a density factor. So, a B+W filter of 110 would correspond to a Formatt Hitech filter of ND 3.0. Hoya designates its 9 f-stop grey filter by x400 based on its filter factor which is somehow lower than the absolute value of x512. Lets see an overview of the different descriptions concerning ND filters as a function of f-stop reduction and optical density but adding also a new parameter the filter factor. What is the filter factor? Each “stop” of light-reduction corresponds with a halving of light. A given filter strength therefore passes only 1/2 strength of the initial incoming light, where “strength” is the filter strength in stops. For example, a 3-stop ND filter (ND 0.3) therefore only passes 1/8th the incoming light (since 1/2^3= 1/(2*2*2) = 1/8). So for this filter the filter factor is 8, and the transmittance (allowing light to pass in %) is the inverse number in % , that is 12.5%. In the below table, you can clarify the properties of each filter. What happens if we stack ND filters? It is very common to stack ND filters to increase their light-reducing strength, but adding multiple filters to the end of a lens can cause vignetting. Keep in mind that no matter how many ND filters are used, the densities of the filters were added and the filter factors need to be multiplied. For example, if you start with an ND filter with a density of 0.6 and add another filter of 0.9 density, the total density of those two filters would be 1.5. This filter combination achieves an f-stop reduction of -5, while the total filter factor of this combination is 32 as illustrated in the table below. Basic steps to perform a Long exposure shot First you have to find out the unfiltered exposure time. Measure this with your camera in aperture priority mode using your desired f-stop. Switch to Bulb mode If you used AUTOFOCUS in aperture priority mode DO NOT forget to switch to MANUAL when you go to Bulb mode In Bulb mode: set the same aperture you selected in step one, and choose the appropriate exposure time (always have with you a stopwatch to time the exposure) Those of you who are fully confident working in manual mode will be able to measure the unfiltered exposure time in manual mode and then adjust the exposure length as required. In a very bright day when probably the sun is behind you, you may need to think about covering the viewfinder before engaging the shutter. There are several ways of doing this: Cover the camera with a dark cloth. Use some thick masking tape (electrician’s tape) over the viewfinder. Use a small cap which is designed for this purpose. Is there a mathematical formula to calculate the exposure times? Yes, there is a simple mathematical formula and it is described in the following figure with a simple example. Useful timetables I have compiled some useful tables where you can find the appropriate exposure time when you have already chosen the unfiltered time and the type of ND filter you use. All the values are in seconds except it is declared otherwise. I believe this table below is maybe more useful since it deals with darker ND filters and longer exposure times. How can we read these tables? Check first the unfiltered shutter speed you want (this is the one you determine form the aperture priority settings..) and then go all the way following the row to the intersection with the appropriate column where you see your ND filter. And that is your new exposure time. Lets say for example you read in your camera settings a shutter speed of 1 sec (very low-light scene) then (see table below) if you are using a ND 3.0 filter , that is a 10 f-stop reduction, you need to time 15 minutes with your stopwatch when you take your photo in Bulb mode. Is that all? I am afraid no.. and i will give the reasons in the next section. Just to finish with the tables i will give you a most useful table where we can have exposure times for stacking filters. Be aware and use the minimum number of filters to achieve your required number of f-stop reduction. What i mean? If you want to achieve a 16 f-stops reduction use a 10- and a 6- filter and not combinations like -6, -6, -4. Increasing the number of ND filters can cause serious vignetting problems. You can work both ways with this chart (and every chart in this post). You want to make an exposure of approximately 1 hour (maybe a traffic scene where you do not want to have the cars movement or people moving around..). You check first the setting of your photo without filters and lets say you have a value of your Shutter speed close to 1/15 secs. Then looking at this table below you see that for an hour exposure you need 16 f-stops. You put two -8 or -10 and -6 and that’s it! You have two -10 stops filters (that is two ND 3.0’s)
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