Some Examples of Seemingly Plausible Interpretation of Experimental Results
DOI:
https://doi.org/10.15407/ujpe62.06.0481Keywords:
optical experiment, apparatus errors, ill-posed problems, regularization methodAbstract
Some examples of a seemingly plausible but wrong interpretation of experimental results have been considered on the basis of the theory of rigorous mathematical interpretation of experimental data. The ability of apparatus errors to significantly affect the measurement results in optical experiments is demonstrated. Ignoring this fact can result in erroneous conclusions concerning the physical nature of the optical phenomena under consideration.
References
W.K. Heisenberg. What is "apprehension" in theoretical physics. Priroda 4, 75 (1971) (in Russian).
A.S. Davydov. Interpretation of the results of scientific research in the physics domain. Preprint XXXXXX (Institute of Theoretical Physics, Kyiv,1980) (in Russian).
A.N. Tikhonov, V.Ya. Arsenin. Solutions of Ill-Posed Problems (Wiley, 1977).
A. Bakushinsky, A. Goncharsky. Ill-Posed Problems: Theory and Applications (Kluwer, 1994).
https://doi.org/10.1007/978-94-011-1026-6
G.M. Vainikko, A.Yu. Veretennikov. Iteration Procedures in Ill-Posed Problems (Nauka, 1986) (in Russian).
V.N. Strakhov. Critical analysis of the classical theory of linear ill-posed problems. Geofizika 3, 3 (1999) (in Russian).
V.N. Strakhov. Geophysical "Dialect" of Mathematic Language (OIFZ RAN, 2000) (in Russian).
V.N. Strakhov. On the Training of Specialists in the Field of Gravity Prospecting and Magnet Prospecting at Higher Educational Institutions of Russia (OIFZ RAS, 2000) (in Russian).
V.N. Strakhov. Geophysical version of the theory of regularization of linear ill-posed problems. In Problems of the Theory and Practice of the Geological Interpretation of Gravitational, Magnetic, and Electric Fields (Institute of Geophysics of NASU, OIFZ RAS, 2001), p. 99 (in Russian).
V.N. Strakhov. Basic constructive ideas used at the development of numerical methods for finding stable approximate solutions of the systems of linear algebraic equations with an approximately given right-hand side, which arise in the gravimetry and magnetometry problems. I. Constructive ideas of the fundamental level. Fizika Zemli 11, 3 (2001) (in Russian).
V.N. Strakhov. On the problem of regularization of the systems of linear algebraic equations that arise in the gravimetry and magnetometry problems. I. New constructive ideas. In Actual Problems of Mathematical Geophysics (OIFZ RAN, 2001), Vol. 1, p. 69 (in Russian).
V.N. Strakhov. Paradigm Change in the Theory of Linear Ill-Posed Problems (OIFZ RAN, 2001) (in Russian).
V.N. Strakhov, A.V. Strakhov. On regularization of the least-squares method. Geofiz. Zh. 20, N 6, 18 (1998) (in Russian).
V.N. Strakhov, A.V. Strakhov. Generalization of the leastsquares method and regularized algorithms for finding stable approximate solutions of the systems of linear algebraic equations with approximate data that arise, while solving geophysical problems. Geofiz. Zh. 21, N 2, 3 (1999) (in Russian).
V.N. Strakhov. Generalization of M.M. Lavrent'ev and A.N. Tikhonov variational methods for the regularization of the systems of linear algebraic equations with an approximately given right-hand side, which provides the requirements of gravimetry and magnetometry. Geofiz. Zh. 24, N 5, 3 (2002) (in Russian).
V.N. Strakhov, A.V. Strakhov. Universal algorithms for the regularization of the systems of linear algebraic equations with an additive interference on the right-hand side, which arise at the solution of the gravimetry and magnetometry problems. Fizika Zemli 10, 3 (2000) (in Russian).
Q. Yang, J.T. Seo, S.J. Creekmore, D.A. Temple, K.P. Yoo, S.Y. Kim, S.S. Jung, A.G. Mott. I-scan measurements of the nonlinear refraction and nonlinear absorption coefficients of some nanomaterials. In Proc. SPIE 4797, 101 (2003).
https://doi.org/10.1117/12.453537
I. Dancus, V.I. Vlad, A. Petris, T.B. Rujoiu, I. Rau, F. Kajzar, A. Meghea, A. Tane. Z-Scan and I-Scan methods for characterization of DNA optical nonlinearities. Rom. Rep. Phys. 65, 966 (2013).
G. Boudebs, K. Fedus. Image formation and applications to third order nonlinear optical measurement. In Proceedings of the 14th International Conference on Transparent Optical Networks (ICTON) (2012), p. 1.
https://doi.org/10.1109/ICTON.2012.6253855
R.F. Souza, M.A. Alencar, J.M. Hickmann, R. Kobayashi, L.R. Kassab. Femtosecond nonlinear optical properties of tellurite glasses. Appl. Phys. Lett. 89, 171917 (2006).
https://doi.org/10.1063/1.2364467
T.B. Rujoiu, A. Petris, V.I. Vlad. Nonlinear refractive properties of 1D periodically nanostructured silicon-on-insulator investigated by reflection I-Scan. In Proc. SPIE 8882, 88820C (2013).
https://doi.org/10.1117/12.2032351
T.B. Rujoiu, V.I. Vlad, A. Petris. Measurement of nonlinear refractive index of silicon nanostructures using reflection intensity scan method. Rom. Rep. Phys. 65, 954 (2013).
V.I. Arnold. Mathematics and physics: a parent and a child or sisters? Usp. Fiz. Nauk 169, 1311 (1999) (in Russian).
https://doi.org/10.3367/UFNr.0169.199912c.1311
V.I. Starostenko, V.N. Starkov. On the results of verification of V.N. Strakhov hypothesis. Geofiz. Zh. 25, No. 1, 122 (2003) (in Russian).
A.A. Borshch, V.N. Starkov, V.I. Volkov, V.I. Rudenko, A.Yu. Boyarchuk, A.V. Semenov. Optical confinement effects in thin nanostructured silicon carbide films. Kvant. Elektron. 43, 1122 (2013) (in Russian).
https://doi.org/10.1070/QE2013v043n12ABEH015270
A.A. Borshch, M.S. Brodyn, V.N. Starkov, V.I. Rudenko, V.I. Volkov, A.Yu. Boyarchuk, A.V. Semenov. Broadband optical limiting in thin nanostructured silicon carbide films and its nature. Opt. Commun . 364, 88 (2016).
Downloads
Published
Issue
Section
License
Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.
.png){kind=small}
