It doesn't matter any more. I read up on terminology from the links posted and it made really nice good-night kind of relaxing literature. Thank you for corrections. Thank you all for your suggestions. I visited the patent office today. I did my best. I will post it as is, copypaste from Word:

Lens lacking geometrical abbreviation

Field of invention:

Invention relates to optics.

Present state of art:

Existing lenses are designed so that horizontal monochromatic rays traversing a lens refract into an area nearly in the focus, and thus relatively large circle gets created, not a point. My lens is designed so that such rays meet exactly in the focus.

Main benefit of my lens I see in expanded possibilities of research and capture of both microworld and macroworld, in possibilities to concentrate energy into arbitrarily small point to obtain high temperature ie for melting and processing of arbitrary material or for initiation of controlled thermonuclear microreactions, further for creating parallel rays of arbitrary diameter and intensity for needs of communication, further for energy transfer, for lighting in buildings and for militarily-strategic needs.

Invention doesn't stem from any recent lens, it is entirely new.

Basis of invention:

Many very smart people were trying to find a better shape for a lens in past. Classical procedure is such that I choose a curve I intend to analyze, I run parallel rays through it and I calculate, where rays meet. Disadvantage of this procedure is that we choose the curves basically blind-folded, and we wait, if the result comes. Since antiquity up to this day nobody succeeded using this procedure.

I search the curve directly. I choose any line. I choose two focal points, which belong to the chosen line, while at most one of them is in plus or minus infinity. I choose original curve of the lens under condition that the curve must be axially symmetrical, its axis of symmetry must blend with the chosen line and none of the point of the curve can be in plus or minus infinity. Special case of such a curve is a segment I choose number of rays and define spacing between them. For each ray I calculate what inclination must the chosen curve have in point of intersection, so that a ray drawn from one focal point after traversing the curve refracts into second focal point. I move points of the lens so that their distance form a focal point in direction of the line grows or shrinks proportionally to the calculated inclination in a given point. This way the curve becomes more accurate, but its points will at the same time get into different distances from focuses than they were in, and originally calculated inclination will no longer refract rays from one focal point to another. So I repeat whole procedure recursively with more and more exact curve, until it meets the tolerance levels I require.

Clarification of drawings

On picture 1 we see a lens obtained with my algorithm in a graphical program.

Example(s) of realization of the invention:

Curve can be used for construction of a lens, which will concentrate all parallel rays into a focal point, real or unreal (? I lack the terminology, it can focus on same side or other side of the lens, like in glasses, some make things bigger, some smaller...) as can be noted in picture 1. For construction of the lens two curves created by above mentioned algorithm situated so that they share an axis of symmetry. We obtain the lens by rotating mentioned curves around their axis of symmetry. One of the lens sides can be flat as a special case of algorithm where one of the focal points is in plus or minus infinity. Lens or a mold for it can be produced using any machining or additive technologies and are dependent on material it is to be made of.

Industrial applicability:

This invention will be possible to industrially use in all fields related to optics, further for generation and transfer of energy, for communication, machining, metallurgy and lightening.

Patent claims

Distinctive part:

1. Instrument distinctive by being made of transparent or translucent material, being in shape of a lens which is obtained by application of above explained algorithm for calculation of a lens without aberration.

Annotation

Lens without geometric aberration

Present lenses concentrate parallel monochromatic rays in direction of a focal point, but not into it. My lens corrects this ancient imperfection.

Drawing

Drawing for annotation