Gravitational Lensing

Ok, but are you sure you got the math right? Where exactly did the formula come from (do you have a link you can post)?

Also, is there a question for us or something you would like to discuss regarding communications or something? I am not sure where to go from here on this post.

Here is the link

https://en.wikipedia.org/wiki/Gravitational_lens

I was not sure about the Group in posting.

But I am sure electronics engineers would have interest in the astronomy.

I am M.Sc. in Organic Chemistry. I am interested in astronomy.

Well ok then. With no explanation to what you posted and no link it was unclear what you were trying to convey.

I am researching on the possibility of solar eclipse by small black hole if it passes

by our planet- the Earth.

Define <...small...>, please?

Click here.

I'm thinking it would have the opposite effect - that it would bend more sunlight to the earth. But the size and distance are important to the question. I suggest you ask this question at The Physics Forums. There you will find more people with better qualifications for this question.

Can you please share some other link?

Gravitational Lensing would be the least of your concerns if a black hole passed through our solar system. A rogue planet passing through the solar system could cause significant danger and disruption even to the point of extinction under most conditions.

It also seems possible that your equation fits nicely with one or more observations but the concept might be entirely wrong. For instance, since gravity warps space-time, then perhaps we are actually observing a shift in space-time instead of a bend. Put that in you calculator!

The Einstein concept of space-time curvature by gravity is very difficult to understand. Usually a denture is represented graphically in space-time. We know gravity acts in all directions but the graphical presentation of gravity effect seems to be in one direction.

This is what should be shown for the effect of gravity on space time. The usual graph in 2D is just a plane on this diagram:

I suppose circular coordinates and plotting would be even better, but this view shows how gravity distortion is in all directions.

As said previously, the effect of a black hole passing through our solar system could be catastrophic if it wasn't very, very brief. It has the potential of changing orbits within our solar system. That could be bad news indeed.

That would depend entirely on the size and path....

There must be some calculation for this entire terms

One can bow a flashlight beam thru a tank of sugar water. At least one could in the 60s.
A density gradient can bend light. Such as the density gradient of a star's atmosphere.
Many hundreds of years of observation and measurement has assured us the planets orbit in elliptics. Until we saw a moon fly thru a debris field. The orbit is a helix, not an elliptic......OOPS. But all of our gravity equations must produce elliptics. This is one way they confirm a gravity theory. OOPS.
We know no more about gravity than we did 1000 years ago.
Using light to measure the velocity of EM, is like trying to measuring 1 drop from a shower head. To properly measure EM, one needs a single drip faucet. Then one can measure the relative velocity of light. Relative velocity of EM, changes the absorption duration.
EM is not a string of drops(or alternations).......it's one drop at a time. Intermittent.