CS208596B1 - Minimized roof pentagonal prism with variable angles on the adges for the divergent total ray beam - Google Patents

Description

The present invention relates to a minimized roof pentagonal prism with variable edge angles for a diverging beam having a half divergence angle ζ in the prism's optical environment and having a mechanical diameter of the input beam beam S.

Known structural variants of roof pentagonal prisms are often used in optical systems with a refracted optical axis, as they have the advantage of both the perpendicular impact of the total beam at the inlet and outlet surfaces of the prism and the independence of the outgoing beam. The disadvantage is that for the same mechanical diameter of the total beam, the known design variants of the pentagonal prisms used in the diverging beam have large dimensions and thus weight, which of course increases the weight and often the dimensions of all or some parts of the apparatus or deteriorates the image quality. due to the roof surface which is far from the exit surface of the respective design variant of the pentagonal roof prism.

Thus, there has been a need to overcome the disadvantages of the known design variants of pentagonal prisms, i.e. to construct a minimized pentagonal prism with varying angles at the edges so as to retain the benefits of perpendicular inlet and outlet of the diverging divergent beam. on the entrance area.

208 598

This object is solved by the object of the invention, which is a minimized roof pentagonal prism β with variable edge angles for use in a divergent total beam beam with half divergence angle 6 in the prism optical environment and with a mechanical diameter of the incoming beam beam S ·

SUMMARY OF THE INVENTION In a minimized roof pentagonal prism with variable edge angles for a diverging beam, having a minimum size of input and output surfaces with respect to the cross-section of the beam, said optimum running of the beam is in the main section plane of the beam. that my following design parameters:

-¼A - 90 ° + Z3

- = ¼B - 45 °

- = ¼ 0-135 ° - / 3

- = ¼D = 90 °

E = 90 ° + / 3-4

- = ^ ¼ «135 - / 3 + __ 6 - (1 - d 2TG. Tg / 3 - tg ^{2/3) (1 + /} 2 + tan ^2/3) _and

DA = - '- ........— y · —..... ...... ί. with

2 (1 2TG ^'i << - 4tg b. Tg / 3 - tg ^ / 3)

AE

ĚP j sin2 / 3, cos o + and - - cos (/ Z - o) tg (45 ° - / 3 + o) cosá *

- - ... - .- - a · cos (/ 3 + a) sin 1 cos

DA (/ + + o

DA _ 2 sin (A + d) cos d _

PC> ----- a. DA

COS (45 ° - / 3 + <f)

CD - 2 sin (fi + /). DA

AB siní +. a. cos (45 ° - / 3 - <^) oosn ..........

J cos (/ 3 +

/)

BC " . a. cos á. DA / 2 sin (/ 3 + d) + d ² + COE OOS / COE (2/3 + A) _ / · «-t --- i- _and DA cos (fi + i), where A and P, respectively Ao to Fo are the intersections of the edges with the prism main section plane, ^ A, ^ B, ^ C, 4D, 4E, -): P are the angles at the respective edges, / is the length of the axis beam prism, and cos / 2 cos (2/2 + S)

208 596 and the parameter / 3 is determined by the algebraic equation

9 2 ^and 10 ^{X + and} 9 ^{x +} ** - ^a 2 ^{x + and} l ^{X + and} o ⁰ 'where the auxiliary variable x - tg and _1Q - 4b ³ (b - 1) and ₉ - 2b ² (3 - 7b - 8b ² + 12b ³ ) and ₈ - b ² (19 + 22b - 75b ² - 12b ³ + 52b ⁴ ) βγ - 2 (-l-6b + 5b ² + 52b ³ - 2b ⁴ - 62b ⁵ + 8b ⁶ + 24b ⁷ ) and ₆ - 3 - 22b - 86b ² + 74b ³ + 131b ⁴ - 56b ⁵ - 44b ⁶ + 16b ⁷ + 16b ⁸ and ₅ = 2 (3 + 20b - 47b ² - 62b ³ + 48b ⁴ - 44b ⁵ + 24b ⁷ ) and ₄ - -7 + 42b + 96b ² - 102b ³ + 107b ⁴ - 84b ⁵ - 216b ⁶ + 32b ⁷ + 32b ⁸

- 2 (- 3 - 18b + 31b ² - 4b ³ + 58b ⁴ + 118b ⁵ - 48b ⁶ - 48b ⁷ ) and ₂ - 5 - 18b - 22b ² - 62b ³ - 95b ⁴ + 104b ⁵ + 104b ⁶ aL = 2 (1 + 4b + 8b ² + 5b ³ - 24b ⁴ - 24b ⁵ ) and _Q - - 1 - 2b - b ² + 8b ³ + 8b ⁴ , where the auxiliary variable is bb tgáí

The minimized roof pentagonal prism according to the invention brings the following advantages: It substantially reduces the dimensions compared to the previously used pentagonal prisms and thus their weight, so that substantial savings in material are also achieved. Improve the display and reduce the manufacturing accuracy of the roof area, resulting in lower production costs. A further advantage is that the inlet and outlet surfaces are minimal with respect to the cross-sectional area of the total beam in said surfaces and the main cross-sectional area of the prism is optimally utilized by the passing beam.

An exemplary embodiment of a prism according to the invention is shown in the attached drawing. Solid lines show an exemplary minimized roof prism with variable edge angles for a half divergence of 6 → 9 ° and the mechanical diameter of the input beam assembly S b of 10.6 mm, the dimensions of the same prism are shown in dashed lines, respecting the structures used up to now. The individual lines limiting the prism main cross-sectional area are indicated by the letters A, E, P, C, D and Ao, Eo.Po. Co, Do.

The diverging input beam 10 with the axial beam 100 impinges on the input surface 11 by longer DA at point 30. Furthermore, it is reflected from the reflective wall PC at point 21 and then from the roof surface AE at point 32 and extends at point 33 from the exit surface 21, the length of which is CD.

208 SOB

Further shown in the figure are the two outer beams of the input beam 10, indicated by an arrow and one or two dots, respectively, and the outer beams of the output beam 20. The axis beam 200 of the output beam 20 is deflected by an angle of 90 ° relative to the axis beam 100 of the input beam 10.

The solved prism can be advantageously used especially in optical systems of optical, optiocomechanical and optoelectronic devices, where it brings all the advantages connected with the reduction of its dimensions and thus also the weight.

Claims (2)

SUBJECT OF THE INVENTION A minimized roof pentagonal prism with variable edge angles for a diverging total beam having a half divergence angle © in a prism optical environment and having a mechanical diameter of the incoming beam aggregate S, having the following design parameters: A - 90 ° +/- 3 B = 45 ° 4 ° C - 135 ° = 90 ° 4b - 90 ° + / 3 - 135 - / 3 (1 - 2TG sixth tg / tg J = ^{2/3) (1 + ^} 2 + tg ² / J) DA 2 (1 - ² 2TG 6 - 4tg tf. Tg / 3 - tg ^2/3) AE sin 6 sin 2/3. cos 6 oos (fl-a ') J cos (/ 3 + ^) DA __ tg (45 ° - / 3 + o) oos / · EP = a. DA cos (fi> - 6) _ 2sin (/ 3-6) cos 6 _ FG = -4 ---- _a . DA cos (45 ° - phi + 6) AB s [sin 6+ Y2. a. cos (45 ° - β - 1)) cos ^ j DA oos (1) + 6) CD β2a sin (β + ^). DA 208 BC = V2. a. cos (,, DA f sin2 (/ 3 + í) + cos ² ^ + cos c cos (2 A + 6) _ „bb ----------------- --- ---—........ ---------------- and DA, cos (fi> +) where the auxiliary variable a is given by coe / 3 aa '. ..... cos (2/3 + S) and parameter / 3 is determined by the algebraic equation 10 9 2 β ^ θχ + SgX + ——— ³ θ »where a _1Q = 4b ³ (b - 1) and ₉ « 2b ² (3-7b - 8b ² + 12b ³ ) ηθ «b ² (19 + 22b - ² 75b - 12b 52b ³ + ^4), and? = 2 (- 1 - 6b + 5b ² + 52b ³ - 2b ⁴ - 62b ⁵ + 8b ⁶ + 24b ⁷ ) a _g »3 - 22b - 86b ² + 74b ³ + 131b ⁴ - 56b ⁵ - 44b ⁶ + 16b ⁷ + 16b ⁸ & ₅ «2 (3 + 20b - 47b ² - 62b ³ + 48b ⁴ - 44b ⁵ + 24b ⁷ ) a ₄ = - 7 + 42b + 96b ² - 102b ³ + 107b ⁴ - 84b ⁵ - 216b ⁶ + 32b ⁷ + 32b ⁸ and ₃ «2 (- 3 - 18b + 31b ² - 4b ³ + 58b ⁴ + 118b ⁵ - 48b ⁶ - 48b ⁷ ) a ₂ = 5 - 18b - 22b ² - 62b ³ - 95b ⁴ + 104b ⁵ + 104b ⁶ a _x = 2 (1 + 4b + 8b ² + 5b ³ - 24b ⁴ - 24b ⁵ ) and _Q = - 1 - 2b - b ² + 8b ³ + 8b ⁴ , where x = tg / 3 b «Tg 6