By Lerner M. E., Repin O. A.

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Additional resources for A boundary value problem for mixed-type equations in domains with multiply connected hyperbolicity subdomains

Example text

22 (G22TELG) The Galilean telescope is treated as a two-lens system with the first lens having a positive focal length and the second lens a negative focal length. For xo1 and xi2 the same large negative numerical values are assumed. The magnification is calculated as m (xi1 /xo1 )(xi2 /xo2 ) and results in m m1 m2 −f1 /f2 . 99, xi2 −9 · 104 ; xo2 30. G22TELG is only on the CD. 22. Go through all the stages and study magnifications by changing f1 and f2 . Applications to Two- and Three-Lens Systems 1.

Virtual image at infinity. We consider the virtual image of lens 1 as the real object of lens 2. We have xi1 −∞, and have for the angular magnification MP −25(1/xi1 − 1/f1 ) 25/f1 . 66) This value is marked on magnifiers as MP times x. Example: for f1 5 we would have MP 5x. In both cases the object is placed at the near point of the eye without a magnifier, and the resulting angular magnification depends on the focal length of the magnifier. 18 (G18MAGIN) Calculations of the magnifier for the “virtual image at infinity” configuration.

G13TINNEG is only on the CD. 13. The distance between the chosen object coordinate and resulting image coordinate changes with the choice of the object coordinate. 1. Modify the analytical calculation done in Application FF11 for the condition of the shortest distance between image and object. 2. Make a sketch. 12a to d. 1. and 2. Real object to the left of the lens and virtual image. The object is presented by an arrow of length yo , placed at the object point xo to the left of the negative lens.