<<
>>

THE INFERENCE

At performance of dissertational operation the theoretical examinations including the analysis of the up-to-date mathematical apparatus, the view intended for the description isochrome in konoskopicheskih patterns of the uniaxial crystals are carried out.

The deduction drawn thus about necessity of improvement of the known relations gained with use of essential approaches and not quite correctly featuring true shape isochrome, has allowed to formulate an expedient of search of the corresponding exact equation.

The equation entered without approaches isochrome of the uniaxial crystals is the equation not second, but the eighth degree. izohromy are only in two special cases of cross orientation of a normal line to surfaces and an optical axis curves of the second and fourth orders, and generally - the curves of the eighth order having the difficult shape and earlier not observed observationally. Written down in a view convenient for the numerical solution, the equation allows not only to count and represent pictorially a pattern isochrome, but also by
Its computer comparison with a pattern fixed observationally, promptly to find out and classify optical anomalies, and also to obtain data about variations of exponents of a refractive and mechanical voltages in a crystal.

Spent to operation observational konoskopicheskie examinations of the uniaxial crystals paratellurita and niobata lithium have completely confirmed a correctness of the output equation isochrome. Tested in dissertational examinations and the method of a laser conoscopy proved theoretically has shown the perspectivity for introduction, besides scientific examinations, in metrology and diagnostics of homogeneity of the uniaxial crystals - both massive bul, and major batches of optical devices.

As a result of the examinations spent in dissertational operation, following deductions are drawn:

1. For the first time the equation isochrome in konoskopicheskih patterns (being the equation of the eighth degree) the uniaxial crystals without earlier applied approaches and simplifications is output.

2. In a plane of observation, an orthogonal axis of a cone of beams, izohromy are curves of the second order - circles when the optical axis and a normal line to a crystal surface coincide. izohromy are the curves of the fourth order reminding hyperbolas when an optical axis and normal lines are perpendicular. At any other cross orientations of an optical axis and a normal line izohromy are curves of the eighth order.

3. The Konoskopichesky pattern of the uniaxial crystal has a symmetry axis of the perpetual order only in case of coincidence of a normal line to an optical axis of a crystal. The Konoskopichesky pattern has a symmetry axis of the fourth order in case of cross orthogonality of a normal line and an axis. In all other cases of cross orientation of a normal line and an optical axis of a crystal konoskopicheskaja the pattern has only a plane of symmetry which track on an observation plane coincides with a projection to it of an optical axis.

4. The output equation allows, after substitution of necessary data about the sizes, exponents of a refractive, orientation of an optical axis of a crystal, and also about parametres of the optical plan, to gain by means of computer calculation of co-ordinate and the pictorial theoretical image isochrome for any orders of the interference maximums and minimums in konoskopicheskoj to a crystal pattern.

5. The observational checkout of the equation by means of the method of a laser conoscopy tested in operation on monocrystals of various substances completely confirms coincidence calculated theoretically and real konoskopicheskih patterns of the uniaxial crystals, including,
For earlier not studied variants of cross orientation of a normal line and an optical axis.

6. The method of a laser conoscopy allows by comparison of the shape and an arrangement isochrome in theoretical and observational konoskopicheskih patterns to find out in crystals and to classify optical anomalies of macrolevel and mesolevel - variations of exponents of a refractive, klinovidnost samples, and also to gain numerical performances of optical inhomogeneities and on their values to count mechanical voltages in a crystal, leading to inhomogeneities.

7. The method of a laser conoscopy is suitable for the express control of optical homogeneity of crystals both in the form of massive bul, and in the form of the devices made of them. Thus sensitivity of a method to the relative variations of exponents of a refractive, a component

, Does not yield sensitivity of others - more expensive, difficult, bulky methods applied now.

8. The method of a laser conoscopy allows to spend immediate observations and studying of influence of various physical actions - impulses of lasers, bundles of ultrasound, temperature - on optical parametres of crystals to an operating time optoelektronnyh and laser devices into which composition crystals enter.

<< | >>
A source: Vorontsova Elena Jurevna. the SHAPE ISOCHROME In KONOSKOPICHESKY PATTERNS of the UNIAXIAL CRYSTALS AT ANY CROSS ORIENTATION of the NORMAL LINE To the SURFACE And the OPTICAL AXIS. The dissertation AUTHOR'S ABSTRACT on competition of a scientific degree of the candidate of physical and mathematical sciences. Tver - 2018. 2018

More on topic THE INFERENCE:

  1. the INFERENCE
  2. the Inference
  3. the Inference
  4. THE INFERENCE
  5. the Inference
  6. THE INFERENCE
  7. THE INFERENCE.
  8. the Inference
  9. THE INFERENCE
  10. the inference
  11. the Inference
  12. THE INFERENCE
  13. the inference
  14. the Inference
  15. THE INFERENCE
  16. THE INFERENCE