Information: Flash Basics
First, it's important to understanding how a flash works. As the name implies, an electronic flash delivers a very short burst of light. To achieve this, the electronics in the flash internally generate high voltage which charges a capacitor. The flash occurs with stored electric charge is directed to the flash tube. The amount of light the flash delivers is directly proportional to the length of time (duration) that the electric charge is delivered to the flash tube. At very low flash levels, this period may be as short as 1/30,000 of a second. At the maximum power level the flash duration can reach up to 1/100 of a second.
As long as the flash duration is shorter than the shutter speed, then changing the shutter speed does not change the exposure which is contributed to by the flash. Of course, changing the shutter speed, does change the amount of ambient light exposed in the image. Beside changing the actual amount of light delivered by the flash, we can change the relative contribution between ambient and flash exposure by changing the shutter speed.
Each camera has a maximum shutter speed that can directly be used with a flash, called the flash sync speed and is typically between 1/125 and 1/250 second. The maximum shutter sync speed corresponds to the speed when the shutter curtain allows for full illumination of the camera sensor. When the shutter speed is shorter than this time the gap in the shutter curtain is reduced to less than the full width of the sensor. Taking a picture with a shutter speed less than the sync speed results in only a fraction of the sensor being exposed.
There are several modes which can be used to set the amount of light the flash delivers. This include Auto, TTL and Manual as well as support for High Speed Sync. As each camera vendor has their own electronics control systems, the flash you use needs to be compatible. This is particularly true for TTL mode and for HSS support, where as Auto and Manual mode can offer some general interoperability.
Auto (historically as referred to as Auto-Thyristor) uses a photo sensor on the front of the flash to measure the amount of light that is reflected back to the camera and flash. One selects the desired f-stop at a given ISO setting and when this exposure level is reached, as determined by the photo sensor, the flash pulse is completed.
TTL (Through The Lens metering). In this case, the exposure control is accomplished within the camera. The camera, generally causes the flash to make a short pre-flash, and the amount of light coming back from the subject is evaluated as part of the overall exposure and used for the actual picture flash which follows within a small fraction of a second. Integrating the exposure control into the camera allows for the use of both exposure compensation based on the ambient light and the relative amount of light from the flash.
Manual control allows the photographer to directly set the amount of light the flash delivers. This is generally set as a fraction of the flash or strobes' full power. Manual control is preferred when we look to remove variation in flash exposure. This is particularly true in shooting a subject that is backlight and the ambient exposure varies significantly based on how much of the illuminated background is brought into the auto exposure setting. As the flash level is then derived from this reading, the exposure variation results in significant changes in flash brightness. To make the use of Manual mode more straightforward, at least one flash manufacture (Godox) allows you to take a test picture in TTL mode, then switch to the flash to manual which directly remembers and displays the manual power level used with the TTL test picture. One can then dial the flash exposure up or down to achieve the desired and consistent results.
Working beyond the camera sync speed limit - There are two common uses for flash. Most people are familiar with is the use of flash when lighting is dark. The second, less familiar case is to provide illumination to subjects when they are in the shade - where the light is less than ideal - meaning, the light falling on our subjects is significantly reduced below the background lighting levels and/or has a color cast that may be cold (illuminated by open blue sky) or color shifted as if filters through overheld foliage or reflected of green lawns, etc. Using a flash daylight situations is commonly referred to as Fill Flash.
When using flash in dark settings, the ambient light level is low, and there is generally no problem in using a shutter speed less than the sync speed limit of 1/125 or 1/250 second. When the we want to use the flash as Fill Flash, and in particularly shooting wide open at a low f-stop, one can expect the shutter speed will significantly exceed the sync speed limit. There are two options. One option is to add a neutral density filter to the front of the lens. This reduces the overall amount of light - directly compensating for using a wide open aperture. The other option is to use a flash and camera that support high speed sync.
HSS is able to support the use of shutter speed beyond the native sync limit by operating the flash in a "pseudo" constant illumination mode. It achieves this sustained illumination mode through very fast pulsing of the flash tube that continues during the full movement of the narrowed curtain width across the sensor. This mode is not achieved without a price as the absolute brightness of the flash is reduced (effectively reducing the flash guide number) - and because it now acts as a constant light source, additional increase in the shutter speed reduces the effective lighting even further.
Neutral Density Filters, like other lens filters, come is sizes that match the diameter of the thread mount on the front of the lens. Beside, this diameter, they are also specified by the reduction in light they provide. This is either specified in the number of f-stops (each f-stop is a factor of 2) or the logarithm of the light reduced. An example is an ND 0.3 filter reduces light by 2 (or 1 stop). An ND 1.2 filter reduces light by 16 (or 4 stops) - which would allow you to open the f-stop setting on your lens from f/5.6 to f/1.4 while keeping the shutter speed constant.
Because of the reduction in overall reduction in flash power and the relative shift in flash power when increasing shutter speed in HSS mode, I very much prefer to use ND filters for Flash Fill shooting. The use of ND filters is fully compatible with TTL and Manual modes. If you wish to use ND filers for Auto mode, simply add the number of stop the ND filter attenuates the flash to the aperture set on the lens when setting the power level on the flash.