Topological wave features near degeneracies in acoustics and optics of absorptive crystals

• Autorzy: Alshits V. , Lyubimov V. , Radowicz A.
• Konferencja: Jubilee Symposium Vibrations In Physical Systems (25 ; 15-19.05.2012 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The unified formalism for description of acoustic and optic properties is developed for directions close to degeneracies in absorbing crystals. The absorption splits a conical degeneracy which causes topological transformations in polarization and geometrical features of degenerate branches. Polarization ellipses distributions gain singularities at the degeneracy points characterized by the Poincaré indices n = ±1/4. The slowness surfaces acquire lines of self-intersection connecting the split degeneracy points where the wedge of intersection has infinitely sharp tips. Geometrical and polarization singularities due to absorption create non-trivial features in conical refraction. For any direction of propagation in the vicinity of the split axes the ray velocity precesses along the universal cone of refraction. Kinematics of this precession appreciably depends on the propagation direction. Conditions for experimental observation of the predicted effects are discussed.

Słowa kluczowe

EN

acoustics; optics; absorption; degeneracy; polarization singularities; conical refraction

PL

akustyka; optyka; absorpcja; degeneracja; osobliwości polaryzacyjne; refrakcja stożkowa

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2012
• Tom: Vol. 25
• Strony: 33--40
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Alshits V.

• A.V. Shubnikov Institute of Crystallography, Russian Academy of Sciences, Leninskii pr. 59,119333 Moscow, Russia
• Polish-Japanese Institute of Information Technology, Koszykowa 86, 02-008 Warsaw, Poland,

autor

Lyubimov V.

• A.V. Shubnikov Institute of Crystallography, Russian Academy of Sciences, Leninskii pr. 59,119333 Moscow, Russia

autor

Radowicz A.

• Kielce University of Technology, Al. Tysiaclecia P.P. 7, 25-314 Kielce, Poland

Bibliografia

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• 2. F.I. Fedorov, Theory of Elastic Waves in Crystals, Nauka, Moscow, 1965; Plenum, New York 1968 (English version).
• 3. V.I. Alshits, A.V. Sarychev, A.L. Shuvalov, Classification of degeneracies and analysis of their stability in the theory of elastic waves in crystals, Sov. Phys. JETP, 62 (3) (1985) 531-539.
• 4. V.I. Alshits, V.N. Lyubimov, Wedge refraction of electromagnetic waves in absorbing crystals, JETP 98 (5) (2004) 870-881.
• 5. V.I. Alshits, V.N. Lyubimov, Elastic waves in absorptive media: peculiarities of wave surfaces and singularities in the polarization fields, 2nd Workshop “Dissipation in Physical Systems”, Borkow, Poland, September 1–3, 1997, Ed. by A. Radowicz, Politechnika Swiętokrzyska, Kielce, Poland 1998, 15-43.
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• 8. A.L. Shuvalov, N.H. Scott, On singular features of acoustic wave propagation in weakly dissipative anisotropic thermoviscoelasticity, Acta Mech. 140 (2000) 1-15.
• 9. V.I. Alshits, V.N. Lyubimov, A. Radowicz, Topological singularities in acoustic fields due to absorption of a crystal, Intern. Monography: Acoustic Waves – From Microdevices to Helioseismology, Ed. by Marco G. Beghi, INTECH, Vienna, Austria 2011, 21-48; ISBN: 978-953-307-572-3.
• 10. L.D. Landau, E.M. Lifshitz, Course of Theoretical Physics, Vol. 7: Theory of Elasticity, Nauka, Moscow 1987; Butterworth–Heinemann, Oxford 1995.
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