Vlastislav Cerveny:
Papers in reviewed journals
- Cerveny, V. (1957):
The reflection of spherical elastic waves at a plane boundary.
Geofys. Sbor., 4, 343-366.
- Cerveny, V. (1957):
On the amplitudes of head waves (in Russian).
Stud. geophys. geod., 1, 256-283.
- Cerveny, V. (1959):
Über die an "schwachen" Grenzflächen entstehenden Kopfwellen.
Czechosl. J. Phys., 9, 101-111.
- Cerveny, V. (1959):
On the reflection of spherical waves at a plane interface with refractive index near to one. I.
Stud. geophys. geod., 3, 116-134.
- Cerveny, V. (1960):
On the amplitudes of reflected harmonic waves at a critical point (in Czech).
Acta Univ. Carolinae -- Mathematica, 2, 33-44.
- Cerveny, V. (1960):
On the reflection of spherical waves at a plane interface with refractive index near to one. II.
Stud. geophys. geod., 4, 20-41.
- Cerveny, V. (1961):
The amplitude curves of reflected harmonic waves around the critical point.
Stud. geophys. geod., 5, 319-351.
- Cerveny, V. & Hron, F. (1961):
Reflection coefficients of spherical waves.
Stud. geophys. geod., 5, 122-132.
- Cerveny, V. (1962):
On the length of the interference zone of a reflected and head wave beyond the critical point and on the amplitudes of head waves.
Stud. geophys. geod., 6, 49-64.
- Cerveny, V. (1962):
On some interference properties of reflected and head waves generated by a spherical wave incident at a thin layer (in Czech).
Acta Univ. Carolinae -- Mathematica, 2, 1-23.
- Cerveny, V. (1962):
On the position of the maximum of amplitude curves of reflected waves.
Stud. geophys. geod., 6, 215-234.
- Cerveny, V. (1963):
On reflected and head waves around the first and the second critical point.
Geofys. Sbor., 10, 43-94.
- Cerveny, V. (1963):
Determination of the position of the critical point from the amplitude curves of reflected waves (in Russian).
Stud. geophys. geod., 7, 286-287.
- Cerveny, V. (1963):
Simplified relations for amplitudes of spherical compressional harmonic waves reflected from a plane interface.
Stud. geophys. geod., 7, 337-352.
- Cerveny, V., Hron, F. & Novak, B. (1964):
Reflection coefficients of plane waves of PP-type for weak interfaces.
Geofys. Sbor., 11, 79-142.
- Cerveny, V. & Novak, B. (1964):
Theoretical amplitude curves of waves reflected from Mohorovicic' discontinuity for some models of one-layer Earth's crust.
Stud. geophys. geod., 8, 34-44.
- Cerveny, V. & Yepinat'eva, A.M. (1965):
Reflected waves in the region of the second critical point (in Russian).
Stud. geophys. geod., 9, 259-271.
- Cerveny, V., Yepinat'eva, A.M. & Kosminskaya, I.P. (1965):
Pecularities of reflected waves in critical regions (in Russian).
Izv. Akad. Nauk SSSR, Fizika Zemli, 8, 12-20.
- Cerveny, V. (1966):
The dynamic properties of reflected and head waves around the critical point.
Geofys. Sbor., 13, 135-245.
- Cerveny, V. (1966):
Computation of wave fields in seismic models and in real media.
Stud. geophys. geod., 10, 259-270.
- Cerveny, V. (1966):
On dynamic properties of reflected and head waves in the n-layered Earth's crust.
Geophys. J. R. astr. Soc., 11, 139-147.
- Cerveny, V. & Jansky, J. (1966):
Theoretical time-distance curves of seismic waves in inhomogeneous one-layer Earth's crust (in Czech).
Acta Univ. Carolinae -- Math. et Phys., 1, 13-79.
- Cerveny, V. (1967):
On some kinematic and dynamic properties of reflected and head waves in the case of layered overburden.
Geofys. Sbor., 14, 105-179.
- Cerveny, V. (1967):
The amplitude-distance curves of waves reflected on a plane interface for different frequency ranges.
Geophys. J. R. astr. Soc., 13, 187-196.
- Cerveny, V. & Jansky, J. (1967):
The amplitude curves of seismic waves at short epicentral distances.
Acta Univ. Carolinae -- Math. et Phys., 1, 15-21.
- Cerveny, V. & Novotny, O. (1967):
The theory of seismic waves.
Stud. geophys. geod., 11, 344-347.
- Cerveny, V. & Yepinat'eva, A.M. (1967):
Influence of the stratification of the overburden on the amplitudes of reflected and head waves (in Russian).
Acta Univ. Carolinae -- Math. et Phys., 1, 55-88.
- Cerveny, V. (1968):
The theory of reflected and head waves in the case of a layered overburden.
Geofys. Sbor., 15, 133-180.
- Cerveny, V. & Madr, I. (1968):
Amplitude curves of reflected and head waves for some simple models of medium.
Geofys. Sbor., 15, 181-203.
- Cerveny, V. & Yepinat'eva, A.M. (1968):
Amplitudes of reflected and head waves in the case of a layered overburden (in Russian).
Izv. Akad. Nauk, SSSR, Fizika Zemli, 3, 19-32.
- Cerveny, V., Kozak, J. & Psencik, I. (1971):
Refraction of elastic waves into a medium of lower
velocity -- Pseudospherical waves.
Pure appl. Geophys., 92, 115-132.
- Cerveny, V. (1972):
Seismic rays and ray intensities in inhomogeneous anisotropic media.
Geophys. J. R. astr. Soc., 29, 1-13.
- Cerveny, V. (1972):
Theory of elastic wave propagation in inhomogeneous media.
Z. Geophys., 38, 469-479.
- Cerveny, V. & Kozak, J. (1972):
Experimental evidence and investigation of pseudospherical waves.
Z. Geophys., 38, 617-626.
- Cerveny, V. & Psencik, I. (1972):
Rays and travel-time curves in inhomogeneous anisotropic media.
Z. Geophys., 38, 565-577.
- Cerveny, V. & Psencik, I. (1972):
Computation of diffracted rays in inhomogeneous media with curved interfaces.
Stud. geophys. geod., 16, 356-366.
- Cerveny, V. & Zahradnik, J. (1972):
Amplitude-distance curves of seismic body waves in the neighbourhood of critical points and caustics. A comparison.
Z. Geophys., 38, 499-516.
- Cerveny, V. (1974):
Reflection and transmission coefficients for transition layers.
Stud. geophys. geod., 18, 59-68.
- Cerveny, V., Kozak, J. (1974):
Head waves from curved interfaces.
Geofys. Sbor., 20, 203-216.
- Cerveny, V., Langer, J. & Psencik, I. (1974):
Computation of geometrical spreading of seismic body waves in laterally inhomogeneous media with curved interfaces.
Geophys. J. R. astr. Soc., 38, 9-19.
- Cerveny, V. (1975):
Determination of the gradient of seismic wave velocity in the lower crust from travel-time curves of waves reflected from the Mohorovicic' discontinuity.
Stud. geophys. geod., 19, 379-382.
- Cerveny, V. & Psencik, I. (1975):
Geometrical spreading of seismic body waves in laterally inhomogeneous media with curved interfaces of the second order.
Stud. geophys. geod., 19, 298-299.
- Cerveny, V. & Zahradnik, J. (1975):
Hilbert transform and its applications in geophysics.
Acta Univ. Carolinae -- Math. et Phys., 1, 67-81.
- Cerveny, V. (1976):
Determination of seismic interface from the travel-time curve of a reflected wave in a vertically inhomogeneous medium.
Geofys. Sbor., 22, 117-151.
- Cerveny, V. (1976):
Approximate expressions for the Hilbert transform of a certain class of functions and their applications in the ray theory of seismic waves.
Stud. geophys. geod., 20, 125-132.
- Cerveny, V. (1976):
Ray amplitudes in a three-dimensional inhomogeneous medium.
Stud. geophys. geod., 20, 401-404.
- Cerveny, V. & Kozak, J. (1976):
Methods and certain results of theoretical and experimental investigations of seismic body wave propagation in Czechoslovakia (in Russian).
Acta Univ. Carolinae, Math. et Phys., 17, 29-48.
- Cerveny, V., Psencik, I. & Zahradnik, J. (1976):
Seismic waves in laterally inhomogeneous media with curved interfaces.
Gerlands Beitr. Geophysik, 85, 57-70.
- Molotkov, L.A., Cerveny, V. & Novotny, O. (1976):
Low-frequency and high-frequency expressions for the reflection and transmission coefficients of seismic waves for transition layers.
Stud. geophys. geod., 20, 219-235.
- Cerveny, V. (1977):
Oscillatory character of amplitude curves of multiply reflected waves at large epicentral distances.
Geofys. Sbor., 23, 77-89.
- Cerveny, V. & Pretlova, V. (1977):
Computation of ray amplitudes of seismic body waves in vertically inhomogeneous media.
Stud. geophys. geod., 21, 248-255.
- Cerveny, V. & Psencik, I. (1978):
Use of computers in seismic investigation of deep structures.
J. geol. Sci. appl. Geophys., 15, 73-96.
- Beranek, B., Cerveny, V., Konirova, L., Psencik, I. & Zounkova, M. (1979):
Interpretational methods in seismic investigation of deep structures.
J. geol. Sci. appl. Geophys., 16, 63-90.
- Cerveny, V. (1979):
Accuracy of ray theoretical seismograms.
J. Geophys., 46, 135-149.
- Cerveny, V. (1979):
Ray theoretical seismograms for laterally inhomogeneous structures.
J. Geophys., 46, 335-342.
- Cerveny, V. & Psencik, I. (1979):
Ray amplitudes of seismic body waves in laterally inhomogeneous media.
Geophys. J. R. astr. Soc., 57, 91-106.
- Sirucek, I., Pellant, K., Fabian, Z. & Cerveny, V. (1979):
Determination of input data for synthetic seismograms (in Czech).
J. geol. Sci. appl. Geophys., 16, 91-102.
- Cerveny, V. (1980):
A new approximation of the velocity-depth distribution and its application to the computation of seismic wave fields.
Stud. geophys. geod., 24, 17-27.
- Cerveny, V. & Frangie, A.B. (1980):
Elementary seismograms of seismic body waves in dissipative media.
Stud. geophys. geod., 24, 365-372.
- Cerveny, V. & Hron, F. (1980):
The ray series method and dynamic ray tracing system for three-dimensional inhomogeneous media.
Bull. Seismol. Soc. Amer., 70, 47-77.
- Cerveny, V., Novotny, O., Plesinger, A. & Plomerova, J. (1980):
Structure of the Earth's crust in Southwest Czechoslovakia from spectral ratios of long-period P waves (Preliminary results).
Geofys. Sbor., 25, 113-129.
- Novotny, O., Cerveny, V. & Molotkov, L.A. (1980):
Numerical properties of low-frequency expansion for the reflection and transmission coefficients from transition layer.
Stud. geophys. geod., 24, 124-130.
- Jansky, J. & Cerveny, V. (1981):
Computation of ray integrals and ray amplitudes in radially symmetric media.
Stud. geophys. geod., 25, 288-292.
- Zahradnik, J., Cerveny, V. & Bartak, V. (1981):
Influence of geological factors on seismic ground motions. (Seismic microzoning of Prague).
Stud. geophys. geod., 25, 343-355.
- Cerveny, V. (1982):
Expansion of a plane wave into Gaussian beams.
Stud. geophys. geod., 26, 120-131.
- Cerveny, V. (1982):
Direct and inverse kinematic problems for inhomogeneous anisotropic media -- linearization approach.
Cont. Geophys. Inst. Slov. Acad. Sci., 13, 127-133.
- Cerveny, V. & Frangie, A.B. (1982):
Effects of causal absorption on seismic body waves.
Stud. geophys. geod., 26, 238-253.
- Cerveny, V. & Jech, J. (1982):
Linearized solutions of kinematic problems of seismic body waves in inhomogeneous slightly anisotropic media.
J. Geophys., 51, 96-104.
- Cerveny, V., Molotkov, I.A. & Psencik, I. (1982):
Space-time ray method for seismic wave fields.
Stud. geophys. geod., 26, 342-351.
- Cerveny, V., Popov, M.M. & Psencik, I. (1982):
Computation of wave fields in inhomogeneous media -- Gaussian beam approach.
Geophys. J. R. astr. Soc., 70, 109-128.
- Cerveny, V. (1983):
Synthetic body wave seismograms for laterally varying layered structures by the Gaussian beam method.
Geophys. J. R. astr. Soc., 73, 389-426.
- Cerveny, V. & Psencik, I. (1983):
Gaussian beams in two-dimensional elastic inhomogeneous media.
Geophys. J. R. astr. Soc., 72, 417-433.
- Cerveny, V. & Psencik, I. (1983):
Gaussian beams and paraxial ray approximation in three-dimensional elastic inhomogeneous media.
J. Geophys., 53, 1-15.
- Cerveny, V. & Firbas, P. (1984):
Numerical modelling and inversion of travel times of
seismic body waves in inhomogeneous anisotropic media.
Geophys. J. R. astr. Soc., 76, 41-51.
- Cerveny, V. & Klimes, L. (1984):
Synthetic body wave seismograms for three-dimensional laterally
varying media.
Geophys. J. R. astr. Soc., 79, 119-133.
- Cerveny, V., Klimes, L. & Psencik, I. (1984):
Paraxial ray approximation in the computation of seismic
wavefields in inhomogeneous media.
Geophys. J. R. astr. Soc., 79, 89-104.
- Cerveny, V. & Psencik, I. (1984):
Gaussian beams in elastic 2-D laterally varying layered structures.
Geophys. J. R. astr. Soc., 78, 65-91.
- Konopaskova, J. & Cerveny, V. (1984):
Numerical modelling of time-harmonic seismic wave fields
in simple structures by the Gaussian beam method. Part I.
Stud. geophys. geod., 28, 19-35.
- Konopaskova, J. & Cerveny, V. (1984):
Numerical modelling of time-harmonic seismic wave fields
in simple structures by the Gaussian beam method. Part II.
Stud. geophys. geod., 28, 113-128.
- Cerveny, V. (1985):
Ray synthetic seismograms for complex two-dimensional
and three-dimensional structures.
J. Geophys., 58, 2-26.
- Cerveny, V. (1985):
Gaussian beam synthetic seismograms.
J. Geophys., 58, 44-72.
- Cerveny, V., Pleinerova, J., Klimes, L. & Psencik, I. (1987):
High-frequency radiation from earthquake sources in laterally
varying layered structures.
Geophys. J. R. astr. Soc., 88, 43-79.
- Töpferova, D. & Cerveny, V. (1987):
Numerical modelling of seismic wave fields
in models containing stacks of thin layers.
Stud. geophys. geod., 31, 344-358.
- Cerveny, V., Klimes, L. & Psencik, I. (1988):
Applications of the dynamic ray tracing.
Phys. Earth planet. Interiors, 51, 25-35.
- Cerveny, V. (1989):
Ray tracing in factorized anisotropic inhomogeneous media.
Geophys. J. int., 99, 91-100.
- Cerveny, V. (1989):
Synthetic body wave seismograms for laterally varying media
containing thin transition layers.
Geophys. J. int., 99, 331-349.
- Cerveny, V. & Andrade F.C.M. (1992):
Influence of a near-surface structure on seismic wave fields recorded at the Earth's surface.
J. seismic Exploration, 1, 107-116.
- Cerveny, V. & Aranha P.R.A. (1992):
Tuneling of seismic body waves through thin high-velocity layers in complex structures.
Stud. geophys. geod., 36, 115-138.
- Cerveny, V. & Coppoli A.D.M. (1992):
Ray-Born synthetic seismograms for complex structures containing scatterers.
J. seismic Exploration, 1, in press.
- Cerveny, V. & Soares, J.E.P. (1992):
Fresnel volume ray tracing.
Geophysics, 57, 902-915.
- Cerveny, V., de Castro, M.A. (1993):
Application of dynamic ray tracing in the
3-D inversion of seismic reflection data.
Geophys. J. Int., 113, 776-779.
- Kvasnicka, M. & Cerveny, V. (1994):
Fresnel volumes and Fresnel zones in complex laterally
varying structures.
J. seismic Exploration, 3, 215-230.
- Jilek, P. & Cerveny, V. (1996):
Radiation patterns of point sources situated close to structural
interfaces and to the Earth's surface.
Pure appl. Geophys., 148, 175-225.
- Kvasnicka, M. & Cerveny, V. (1996):
Analytical expressions for Fresnel volumes and interface
Fresnel zones of seismic body waves.
Part 1: Direct and unconverted reflected waves.
Stud. geophys. geod., 40, 136-155.
- Kvasnicka, M. & Cerveny, V. (1996):
Analytical expressions for Fresnel volumes and interface
Fresnel zones of seismic body waves.
Part 2: Transmitted and converted waves. Head waves.
Stud. geophys. geod., 40, 381-397.
- Cerveny, V. (2002):
Fermat's variational principle for anisotropic inhomogeneous media.
Stud. geophys. geod., 46, 567-588.
- Cerveny, V. (2004):
Inhomogeneous harmonic plane waves in viscoelastic anisotropic media.
Stud. geophys. geod., 48, 167-186.
- Cerveny, V. & Psencik, I. (2005):
Plane waves in viscoelastic anisotropic media -- I. Theory.
Geophys. J. int., 161, 197-212.
- Cerveny, V. & Psencik, I. (2005):
Plane waves in viscoelastic anisotropic media -- II. Numerical examples.
Geophys. J. int., 161, 213-228.
- Cerveny, V., Klimes, L. & Psencik, I. (2006):
Seismic ray method: Recent developments.
Advances in Geophysics, 48, 1-126.
- Cerveny, V. & Psencik, I. (2006):
Energy flux in viscoelastic anisotropic media.
Geophys. J. int., 166, 1299-1317.
- Cerveny, V. & Psencik, I. (2006):
Particle motion of plane waves in viscoelastic anisotropic media.
Russ. Geol. Geophys., 47, 551-562.
Printed also in Russian language:
Geologiya i Geofizika, 47, 23-33.
- Cerveny, V. (2007):
Reflection/transmission laws for slowness vectors
in viscoelastic anisotropic media.
Stud. geophys. geod., 51, 391-410.
- Cerveny, V. (2007):
A note on dynamic ray tracing in ray-centered
coordinates in anisotropic inhomogeneous media.
Stud. geophys. geod., 51, 411-422.
- Cerveny, V. & Moser, T.J. (2007):
Ray propagator matrices in three-dimensional
anisotropic inhomogeneous layered media.
Geophys. J. int., 168, 593-604.
- Cerveny, V. & Psencik, I. (2007):
Time-averaged and time-dependent energy-related quantities of waves
propagating in inhomogeneous viscoelastic anisotropic media.
Geophys. J. int., 170, 1253-1261.
- Moser, T.J. & Cerveny, V. (2007):
Paraxial ray methods for anisotropic inhomogeneous media.
Geophys. Prospecting, 55, 21-37.
- Cerveny, V., Klimes, L. & Psencik, I. (2008):
Attenuation vector in heterogeneous, weakly dissipative,
anisotropic media.
Geophys. J. int., 175, 346-355.
- Cerveny, V. & Psencik, I. (2008):
Weakly inhomogeneous plane waves in anisotropic,
weakly dissipative media.
Geophys. J. int., 172, 663-673.
- Cerveny, V. & Psencik, I. (2008):
Quality factor Q in dissipative anisotropic media.
Geophysics, 73, T63-T75.
- Cerveny, V. & Moser, T.J. (2009):
Paraxial ray methods in inhomogeneous anisotropic media:
Initial conditions.
Stud. geophys. geod., 53, 199-214.
- Cerveny, V. & Psencik, I. (2009):
Perturbation Hamiltonians in heterogeneous anisotropic weakly
dissipative media.
Geophys. J. int., 178, 939-949.
- Cerveny, V. & Klimes, L. (2010):
Transformation relations for second-order derivatives
of travel time in anisotropic media.
Stud. geophys. geod., 54, 257-267.
- Cerveny, V. & Psencik, I. (2010):
Gaussian beams in inhomogeneous anisotropic layered structures.
Geophys. J. int., 180, 798-812.
- Cerveny, V. & Psencik, I. (2011):
Seismic ray theory.
In: Gupta, H.K. (ed.): Encyclopedia of Solid Earth Geophysics,
pp. 1244-1258, Springer, Berlin.
- Cerveny, V. & Psencik, I. (2011):
Boundary attenuation angles for inhomogeneous plane waves
in anisotropic dissipative media.
Geophysics, 76, WA51-WA62.
- Cerveny, V., Iversen, E. & Psencik, I. (2012):
Two-point paraxial traveltimes in an inhomogeneous anisotropic medium.
Geophys. J. int., 189, 1597-1610.
- Cerveny, V. (2013):
A note on two-point paraxial travel times.
Stud. geophys. geod., 57, 267-275.
- Waheed, U. bin, Psencik, I., Cerveny, V., Iversen, E. &
Alkhalifah, T. (2013):
Two-point paraxial traveltime formula for inhomogeneous
isotropic and anisotropic media: Tests of accuracy.
Geophysics, 78, C41-C56.
- Cerveny, V. & Psencik, I. (2017):
Elementary Green function as an integral superposition
of Gaussian beams in inhomogeneous anisotropic layered
structures in Cartesian coordinates.
Geophys. J. int., 210, 561-569.
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