Mollenhauer,
D.
,
Iarve,
E.
,
Hoos,
K.
,
Flores,
M.
,
Zhou,
E.
,
Lindgren,
E.
, and
Schoeppner,
G.
, 2016, “
Damage Tolerance for Life Management of Composite Structures—Part 1: Modeling,” The Aircraft Structural Integrity Program Conference, ASIP Conference Proceedings, San Antonio, TX, Nov. 28–Dec. 1, pp. 3–5.

Wertz,
J.
,
Wallentine,
S.
,
Welter,
J.
,
Dierken,
J.
, and
Aldrin,
J.
, 2017, “
Volumetric Characterization of Delamination Fields Via Angle Longitudinal Wave Ultrasound,” AIP Conf. Proc.,
1806, p. 090006.

Aldrin,
J.
,
Wertz,
J.
,
Welter,
J.
,
Wallentine,
S.
,
Lindgren,
E.
,
Kramb,
V.
, and
Zainey,
D.
, 2018, “Review of Progress in Quantitative Nondestructive Evaluation,” AIP Conf. Proc., **1949**, p. 120005.

Johnston,
P.
,
Appleget,
C.
, and
Odarczenko,
M.
, 2013, “
Characterization of Delaminations and Transverse Matrix Cracks in Composite Laminates Using Multiple-Angle Ultrasonic Inspection,” AIP Conf. Proc.,
1511, pp. 1011–1018.

Raju,
B.
, 1986, “
Acoustic-Backscattering Studies of Transverse Cracks in Composite Thick Laminates,” Exp. Mech.,
26(1), pp. 71–78.

[CrossRef]
Gorman,
M.
, 1991, “
Ultrasonic Polar Backscatter Imaging of Transverse Matrix Cracks,” J. Compos. Mater.,
25(11), pp. 1499–1514.

[CrossRef]
Spies,
M.
, and
Jager,
W.
, 2003, “
Synthetic Aperture Focusing for Defect Reconstruction in Anisotropic Media,” Ultrasonics,
41(2), pp. 125–131.

[CrossRef] [PubMed]
Shlivinski,
A.
, and
Langenberg,
K.
, 2007, “
Defect Imaging With Elastic Waves in Inhomogeneous–Anisotropic Materials With Composite Geometries,” Ultrasonics,
46(1), pp. 89–104.

[CrossRef] [PubMed]
Li,
C.
,
Pain,
D.
,
Wilcox,
P.
, and
Drinkwater,
B.
, 2013, “
Imaging Composite Material Using Ultrasonic Arrays,” NDT E Int.,
53, pp. 8–17.

[CrossRef]
Lane,
C.
,
Dunhill,
T.
,
Drinkwater,
B.
, and
Wilcox,
P.
, 2010, “
3D Ultrasonic Inspection of Anisotropic Aerospace Components,” Insight,
52(2), pp. 72–77.

[CrossRef]
Fahim,
A.
,
Gallego,
R.
,
Bochud,
N.
, and
Rus,
G.
, 2013, “
Model-Based Damage Reconstruction in Composites From Ultrasound Transmission,” Compos. Part B,
45(1), pp. 50–62.

[CrossRef]
Lorenz,
M.
,
Van der Wal,
F.
, and
Berkhout,
A.
, 1993, “
Optimization of Ultrasonic Defect Reconstruction With Multi-SAFT,” Rev. Prog. Quant. Nondestr. Eval., **12**(A), pp. 851–858

Lorenz,
M.
, and
Wielinga,
T.
, 1993, “
Ultrasonic Characterization of Defects in Steel Using Multi-SAFT Imaging and Neural Networks,” NDT E Int.,
26(3), pp. 127–133.

[CrossRef]
Ganansia,
F.
,
Chahbaz,
A.
, and
Mborokih,
K.
, 2000, “
Experimental Evaluation of Weld Defects Using Multi-Path SAFT,” AIP Conf. Proc.,
509, p. 1341.

Hutt,
T.
, and
Simonetti,
F.
, 2010, “
Reconstructing the Shape of an Object From Its Mirror Image,” J. Appl. Phys.,
108(6), p. 064909.

[CrossRef]
Löer,
K.
,
Meles,
G.
, and
Curtis,
A.
, 2015, “
Automatic Identification of Multiply Diffracted Waves and Their Ordered Scattering Paths,” J. Acoust. Soc. Am.,
137(4), pp. 1834–1845.

[CrossRef] [PubMed]
Labyed,
Y.
, and
Huang,
L.
, 2014, “
TR-MUSIC Inversion of the Density and Compressibility Contrasts of Point Scatterers,” IEEE Trans. Ultrason., Ferroelectr., Freq. Control,
61(1), pp. 16–24.

[CrossRef]
Tarantola,
A.
, 2005, Inverse Problem Theory,
Society for Industrial and Applied Mathematics, Philadelphia, PA.

Bonnet,
M.
, and
Constantinescu,
A.
, 2005, “
Inverse Problems in Elasticity,” Inverse Probl.,
21(2), p. R1.

[CrossRef]
Sabbagh,
H.
,
Murphy,
R.
,
Sabbagh,
E.
,
Aldrin,
J.
, and
Knopp,
J.
, 2013, Computational Electromagnetics and Model-Based Inversion—A Modern Paradigm for Eddy-Current Nondestructive Evaluation,
Springer, New York.

[CrossRef]
Welter,
J.
,
Wertz,
J.
,
Aldrin,
J.
,
Kramb,
V.
, and
Zainey,
D.
, 2018, “
Model-Driven Optimization of Oblique Angle Ultrasonic Inspection Parameters for Delamination Characterization,” AIP Conf. Proc., **1949**, p. 130005.

Deydier,
S.
,
Leymarie,
N.
,
Calmon,
P.
, and
Mengeling,
V.
, 2006, “
Modeling of the Ultrasonic Propagation Into Carbon-Fiber-Reinforced Epoxy Composites, Using a Ray Theory Based Homogenization Method,” AIP Conf. Proc.,
820, pp. 972–978.

Reverdy,
F.
,
Mahaut,
S.
,
Dominguez,
N.
, and
Dubois,
P.
, 2015, “
Simulation of Ultrasonic Inspection of Curved Composites Using a Hybrid Semi-Analytical/Numerical Code,” AIP Conf. Proc.,
1650, pp. 1047–1055.

Wojcik,
G.
,
Vaughan,
D.
,
Murray,
V.
, and
Mould,
J.
, 1994, “
Time-Domain Modeling of Composite Arrays for Underwater Imaging,” IEEE Ultrasonics Symposium, Cannes, France, Oct. 31–Nov. 3, pp. 1027–1032.

Dominguez,
N.
, and
Reverdy,
F.
, 2014, “
Simulation of Ultrasonic Testing of Composite Structures,” 11th European Conference on Non-Destructive Testing/ECNDT, Prague, Czech Republic, Oct. 6–10,

http://www.ndt.net/events/ECNDT2014/app/content/Paper/344_Dominguez.pdf
Jezzine,
K.
,
Ségur,
D.
,
Ecault,
R.
,
Dominguez,
N.
, and
Calmon,
P.
, 2017, “
Hybrid Ray-FDTD Model for the Simulation of the Ultrasonic Inspection of CFRP Parts,” AIP Conf. Proc., **1806**, p. 090016.

Shell,
E.
,
Aldrin,
J.
,
Sabbagh,
H.
,
Sabbagh,
E.
,
Murphy,
R.
,
Mazdiyasni,
S.
, and
Lindgren,
E.
, 2014, “
Demonstration of Model-Based Inversion of Electromagnetic Signals for Crack Characterization,” AIP Conf. Proc.,
1650, pp. 484–493.

Wertz,
J.
,
Homa,
L.
,
Welter,
J.
,
Sparkman,
D.
, and
Aldrin,
J.
, 2018, “
Gaussian Process Regression of Chirplet Decomposed Ultrasonic B-Scans of a Simulated Design Case,” AIP Conf. Proc., **1949**, p. 130007.

Lu,
Y.
,
Demirli,
R.
,
Cardoso,
G.
, and
Saniie,
J.
, 2006, “
A Successive Parameter Estimation Algorithm for Chirplet Signal Decomposition,” IEEE Trans. Ultrason., Ferroelectr., Freq. Control,
53(11), pp. 2121–2131.

[CrossRef]
Demirli,
R.
, and
Saniie,
J.
, 2014, “
Asymmetric Gaussian Chirplet Model and Parameter Estimation for Generalized Echo Representation,” J. Franklin Inst.,
351(2), pp. 907–921.

[CrossRef]
Saniie,
J.
,
Lu,
Y.
, and
Demirli,
R.
, 2006, “
3E-3 A Comparative Study of Echo Estimation Techniques for Ultrasonic NDE Applications,” IEEE Ultrasonics Symposium, Vancouver, BC, Oct. 2–6, pp. 436–439.

Homa,
L.
,
Wertz,
J.
,
Sparkman,
D.
,
Welter,
J.
, and
Aldrin,
J.
, 2018, “
Chirplet Decomposition for Surrogate Modeling of a Constrained Ultrasonic Design Case,” AIP Conf. Proc., **1949**, p. 130006.

Sparkman,
D. M.
,
Millwater,
H. R.
, and
Ghosh,
S.
, 2013, “
Probabilistic Sensitivity Analysis of Dwell-Fatigue Crack Initiation Life for a Two-Grain Microstructural Model,” Fatigue Fract. Eng. Mater. Struct.,
36(10), pp. 994–1008.

[CrossRef]
Santner,
T. J.
,
Williams,
B. J.
, and
Notz,
W.
, 2003, The Design and Analysis of Computer Experiments. Springer Series in Statistics,
Springer-Verlag Inc.,
New York.

[CrossRef]
Martin,
J. D.
, and
Simpson,
T. W.
, 2005, “
Use of Kriging Models to Approximate Deterministic Computer Models,” AIAA J.,
43(4), pp. 853–863.

[CrossRef]
Rasmussen,
C.
, and
Williams,
C.
, 2006, Gaussian Processes for Machine Learning, Vol.
1,
MIT Press,
Cambridge, MA.

Friedman,
J.
,
Hastie,
T.
, and
Tibshirani,
R.
, 2001, The Elements of Statistical Learning, Vol.
1,
Springer Series in Statistics,
New York.

[CrossRef]
Price,
K.
,
Storn,
M.
, and
Lampinen,
J.
, 2006, Differential Evolution: A Practical Approach to Global Optimization,
Springer Science & Business Media, Berlin.