HUD; virtual image at infinity

[Smooth]

Hi,

I am trying to create an HUD display - basically create a virtual image at infinity and look at it. I have two plano-convex lenses; the distance between them is the sum of their focal lengths; my object is therefore imaged at infinity. Here is the schematics that I'm pretty much trying to make:

HUD optics:

Virtual image at infinity (Galilean Telescope):

Set-up 1: (with lasers)
I have two plano-convex fresnel lenses with the focal lengths of ~120mm each; I position them with ~240mm between them (sum of two focal lengths). I have an object on the right; after the light from it passes through my lenses, the rays should be collimated. They are - the distances between the rays of the light source and between the points on the image on the right are about the same (5cm vs 5.5cm. As good as it gets though. Is it because the lenses are not perfectly vertical?).

Set-up 2, OLED screen, no lasers.
Now I get rid of the lasers, I put the OLED screen instead, put a beam splitter to the left of all the lenses, and an LCD screen behind the beam splitter.
This way when I look at the beam splitter I see both images - from OLED (went through optics) and from LCD. However, the image from OLED screen is not at infinity: I have to focus my eyes on the LCD, then refocus to the OLED.

Why does it happen - why isn’t the OLED image at infinity? I want the virtual image from OLED screen to be always crisp and clear - well, imaged at infinity.

Also, there is a plano-concave lens on the schematic that explains the HUD. What's its purpose? I don’t quite get it.

I would really appreciate some help here; many thanks in advance.

 

[A.T.]

View attachment 214376
Set-up 1: (with lasers)

You put parallel beams in and get parallel beams out, so your setup doesn't change the image distance.

View attachment 214377
Set-up 2, OLED screen, no lasers.

OLED screen is not at infinity:

Of course not. Your setup only outputs parallel beams, if you put parallel beams in.

 

[Drakkith]

Why does it happen - why isn’t the OLED image at infinity? I want the virtual image from OLED screen to be always crisp and clear - well, imaged at infinity.

Your setup does not produce an image at infinity. Try placing the LCD screen at the focal point of one of the lenses and then viewing this light via the beamsplitter.

Also, there is a plano-concave lens on the schematic that explains the HUD. What's its purpose? I don’t quite get it.

That lens is just part of the overall lens assembly that correctly focuses the light. Simple plano-convex lenses cannot create a high-quality image due to aberrations introduced to the image as the light passes through. You need a number of different lenses of different shapes, focal lengths, and refractive indices.