wave acoustics

SearchAdvancedHelp

(0.001 seconds)

1—10 of 11 matching pages

1: 8.24 Physical Applications

… ►

§8.24(iii) Generalized Exponential Integral

… ►With more general values of $p$, $E_p\left(x\right)$ supplies fundamental auxiliary functions that are used in the computation of molecular electronic integrals in quantum chemistry (Harris (2002), Shavitt (1963)), and also wave acoustics of overlapping sound beams (Ding (2000)).

2: Bibliography J

… ►

Acoustic and Electromagnetic Waves. Oxford Science Publications, The Clarendon Press Oxford University Press, New York.

ⓘ

External Links:

ISBN 0-19-853365-9, MathReview (John A. DeSanto)

Referenced by:

§10.73(i).

Encodings:

BibTeX

…

3: 10.73 Physical Applications

… ►This equation governs problems in acoustic and electromagnetic wave propagation. … ►More recently, Bessel functions appear in the inverse problem in wave propagation, with applications in medicine, astronomy, and acoustic imaging. …

4: Bibliography V

… ►

Calculation of spheroidal wave functions. J. Acoust. Soc. Amer. 51, pp. 414–416.

ⓘ

External Links:

Document, ZentralBlatt

Referenced by:

§30.16(ii), §30.18(iii).

Encodings:

BibTeX

…

5: Bibliography K

… ►

Two new asymptotic methods in the theory of wave propagation in inhomogeneous media. Sov. Phys. Acoust. 14, pp. 1–17.

ⓘ

External Links:

ISSN 0038-562X

Referenced by:

§36.14(iv).

Encodings:

BibTeX

…

6: 36.14 Other Physical Applications

… ►Diffraction catastrophes describe the (linear) wave amplitudes that smooth the geometrical caustic singularities and decorate them with interference patterns. … ►Diffraction catastrophes describe the connection between ray optics and wave optics. … ►

§36.14(iv) Acoustics

►Applications include the reflection of ultrasound pulses, and acoustical waveguides. …

7: Bibliography H

… ►

Two-dimensional periodic waves in shallow water. II. Asymmetric waves. J. Fluid Mech. 285, pp. 95–122.

ⓘ

External Links:

ISSN 0022-1120, Document, MathReview

Referenced by:

Figure 21.9.1, Figure 21.9.1, Figure 21.9.2, Figure 21.9.2, §21.9, Sidebar 21.SB1, Sidebar 21.SB2.

Encodings:

BibTeX

►

Two-dimensional periodic waves in shallow water. J. Fluid Mech. 209, pp. 567–589.

ⓘ

External Links:

ISSN 0022-1120, Document, MathReview

Referenced by:

§21.9, Sidebar 21.SB2.

Encodings:

BibTeX

… ►

Fast Hankel transform algorithm. IEEE Trans. Acoust. Speech Signal Process. 32 (3), pp. 666–671.

ⓘ

External Links:

ISSN 0096-3518, FullText, ZentralBlatt

Referenced by:

§10.74(vii).

Encodings:

BibTeX

… ►

Calculation of Coulomb wave functions for high energies. Phys. Rev. 54 (8), pp. 627–628.

ⓘ

External Links:

Document

Referenced by:

§33.7.

Encodings:

BibTeX

… ►

Coulomb Wave Functions. In Handbuch der Physik, Bd. 41/1, S. Flügge (Ed.), pp. 408–465.

ⓘ

External Links:

MathReview (G. Källén)

Referenced by:

§33.2(iii), §33.23(vii), §33.23(vii), §33.24, §33.5(ii), §33.7, Ch.33.

Encodings:

BibTeX

…

8: Bibliography C

… ►

Inverse Acoustic and Electromagnetic Scattering Theory. 2nd edition, Applied Mathematical Sciences, Vol. 93, Springer-Verlag, Berlin.

ⓘ

External Links:

ISBN 3-540-62838-X, MathReview, ZentralBlatt

Referenced by:

§10.73(i).

Encodings:

BibTeX

… ►

Product formulas and convolutions for angular and radial spheroidal wave functions. Trans. Amer. Math. Soc. 338 (2), pp. 695–710.

ⓘ

External Links:

ISSN 0002-9947, FullText, MathReview (Jean-Claude Lucquiaud), ZentralBlatt

Referenced by:

§30.10, §30.11(vi).

Encodings:

BibTeX

… ►

Coulomb Wave Functions. Roy. Soc. Math. Tables, Vol. 11, Cambridge University Press, Cambridge.

ⓘ

External Links:

ISBN 0-521-06156-3, MathReview (John Todd), ZentralBlatt

Referenced by:

item Curtis (1964a):, §33.14(i), §33.20(iv), §33.21(ii), §33.23(vi), 2nd item, §33.9(ii), Notations P, Notations Q.

Encodings:

BibTeX

…

9: Bibliography

… ►

Efficient approximation of the Struve functions ${𝐇}_n$ occurring in the calculation of sound radiation quantities. The Journal of the Acoustical Society of America 140 (6), pp. 4154–4160.

ⓘ

External Links:

Document

Referenced by:

§11.13(i), §11.13(i).

Encodings:

BibTeX

… ►

Evaluation of Coulomb wave functions along the transition line. Physical Rev. (2) 96, pp. 77–79.

ⓘ

External Links:

Document, MathReview (A. Erdélyi), ZentralBlatt

Referenced by:

§33.12(i).

Encodings:

BibTeX

… ►

Asymptotic expansions of spheroidal wave functions. J. Math. Phys. Mass. Inst. Tech. 28, pp. 195–199.

ⓘ

External Links:

MathReview (J. G. van der Corput), ZentralBlatt

Referenced by:

§30.9(iii).

Encodings:

BibTeX

… ►

Perturbation solutions of the ellipsoidal wave equation. Quart. J. Math. Oxford Ser. (2) 7, pp. 161–174.

ⓘ

External Links:

ISSN 0033-5606, Document, MathReview (A. Erdélyi), ZentralBlatt

Referenced by:

§29.11.

Encodings:

BibTeX

►

A new treatment of the ellipsoidal wave equation. Proc. London Math. Soc. (3) 9, pp. 21–50.

ⓘ

External Links:

ISSN 0024-6115, Document, MathReview (J. Meixner), ZentralBlatt

Referenced by:

§29.11.

Encodings:

BibTeX

…

10: Bibliography F

… ►

Spheroidal Wave Functions. Stanford University Press, Stanford, CA.

ⓘ

External Links:

MathReview (J. C. P. Miller), ZentralBlatt

Referenced by:

§30.1, §30.10, 2nd item, Ch.30.

Encodings:

BibTeX

… ►

Diffraction of radio waves around the earth’s surface. Acad. Sci. USSR. J. Phys. 9, pp. 255–266.

ⓘ

External Links:

MathReview, ZentralBlatt

Referenced by:

§9.1, Notations U, Notations V.

Encodings:

BibTeX

… ►

Transverse cusp diffraction catastrophes produced by the reflection of ultrasonic tone bursts from a curved surface in water. J. Acoust. Soc. Amer. 92 (5), pp. 2869–2877.

ⓘ

External Links:

Document

Referenced by:

§36.14(iv).

Encodings:

BibTeX

►

Travel time surface of a transverse cusp caustic produced by reflection of acoustical transients from a curved metal surface. J. Acoust. Soc. Amer. 95 (2), pp. 650–660.

ⓘ

External Links:

Document

Referenced by:

§36.14(iv).

Encodings:

BibTeX

… ►

Numerical treatment of Coulomb wave functions. Rev. Mod. Phys. 27 (4), pp. 399–411.

ⓘ

External Links:

Document, MathReview (A. Erdélyi), ZentralBlatt

Referenced by:

§33.10(ii), §33.11, §33.12(i), §33.9(ii).

Encodings:

BibTeX

…