The camera lens gathers light rays from outside world and projects these rays so an image forms on the surface of a digital sensor chip at the rear of the camera. If the lens is too close or too far away from the chip, the image will be blurred. The distance lens to chip is a variable based on the closeness or farness of the object being photographed. If critical focus is to be achieved, the lens must be repositioned base on subject distance.

The cellphones we carry sport super tiny cameras. We fit lenses to cameras based on the size of the imaging chip. A super tiny imaging chip such as the type used in cellphones calls for camera lens that is approximately 3 millimeters in focal length. That’s short, compare to a film camera that typically spots a 50mm lens. The interesting thing about short lenses is, a short focus lens is less critical as to focus distance as compared to its larger kinsfolks.

If you mount an additional lens atop a “normal” camera lens, the power of the optical system is altered. This results in a change is the angle-of-view. A negative powered supplemental lens delivers a wider angle whereas a positive power supplemental allows closer focusing than usual.

Your wide-angle supplemental lens is labeled 0.67. This reveals its multiplying factor. We multiply the exiting focal length by 0.67 to discover the power of the combination. The math is 3 X 0.67 = 2mm. Thus revised focal length is 1mm shorter and the result is a wider angle of view. Add a “macro” to this and you again alter the focal length. How much does the “macro” alter this array? Not much! The typical “supplemental” close-up lens is a +3 as to power. That will change the power of the array by only a fraction of a millimeter.

What about a “fish-eye” supplemental? This is a special design. It works like looking through binoculars backward. Add this backwards telephoto to your cellphone and the focal length is impressively changed to give about a 180° field of view. Such a modification requires a radical repositioning of the lens to chip distance.