A bibliography about the Talbot-Lau Effect

Compiled by Dario Ambrosini

This bibliography was online at OSA site (www.osa.org) from 1997 to 2001. An updated and revised version is currently under preparation.


The main source of information about the Talbot effect is the work of Prof. Patorski:

K. Patorski, "The self imaging phenomenon and its applications", in Progress in Optics XXVII, 1-108 (1989) with 301 entries listed.

In addition, the following references, which are not listed in the previous work, can be considered:

2) W. W. Clendenin, "Fresnel diffraction of the plane phase grating", J. Opt. Soc. Am. 53, 267-273 (1963).

3) B. D. Cook, "Interference pattern of ultrasonic optical grating", J. Opt. Soc. Am. 53, 429-430 (1963).

4) C. W. McCutchen, "Generalised aperture and the three dimensional diffraction image", J. Opt. Soc. Am. 54, 240-244 (1964).

5) G. Meltz, W. T. Maloney, "Optical correlation of Fresnel images", Appl. Opt. 7, 2091-2099 (1968).

6) W. D. Montgomery, "Algebraic formulation of diffraction applied to self-imaging", J. Opt. Soc. Am. 58, 1112-1124 (1968).

7) A. Luxmoore, C. House, R. L. Jones, "Diffractometers for analysis of moiré grid photographs", J. Phys. E, Sci. Instrum. 4, 882-884 (1971).

8) G. Roblin, "On the lateral localisation of a periodic object in partially coherent light", Opt. Commun. 4, 220-223 (1971).

9) C. H. Palmer, B. Z. Hollman, "Transmission of incoherent light between Ronchi grids", Appl. Opt. 11, 780-785 (1972).

10) K. Kodate, T. Kamiya, H. Takenaka, H. Yanai, "Construction of photolithographic phase gratings using the Fourier image effect", Appl. Opt. 14, 522-525 (1975).

11) S. Yokozeki, S. Sawa, "Interferometric testing of grating using moiré method", Jpn. J. Appl. Phys., suppl. 1, 14, 465-470 (1975).

12) CH. Deckers, "Influence of partially coherent light in self-imaging process", CR Acad. Sci. B (Paris) 283, 367 (1976).

13) G. R. Reddy, "Fourier imaging of sinusoidally periodic complex objects", Atti Fond. G. Ronchi 31, 402-404 (1976).

14) S. T. Bobrov, "Compensation of distortion in a Fourier multiple-imaging system", Opt. Spectrosc. 45, 815-817 (1978).

15) O. Bryngdahl, W. H. Lee, "On light distribution in optical waveguides", J. Opt. Soc. Am. 68, 310-315 (1978).

16) J. P. Guigay, "The ambiguity function in diffraction and isoplanatic imaging by partially coherent beams", Opt. Commun. 26, 136-138 (1978).

17) H. Konitz, "Concerning the theory of Fourier images I. Light optics", Optik 53, 419-441 (1979).

18) T. Jannson, "Radiance transfer function", J. Opt. Soc. Am. 70, 1544-1549 (1980).

19) H. Konitz, S. Boseck, "Light-optical and numerical results concerning self-imaging", Optik 55, 283-289 (1980).

20) A. P. Smirnov, "Synthesis of intermediate aspect angles based on the Talbot effect", Opt. Spectrosc. 48, 537-538 (1980).

21) C. J. Budhiraja, S. C. Som, "Multidirectional holographic phase gratings II. Self-imaging property", Opt. Acta 28, 1241-1252 (1981).

22) D. C. Chang, E. F. Kuester, "A hybrid method for paraxial beam propagation in multimode optical waveguides", IEEE Trans. Microwave Theory and Techniques 29, 923-933 (1981).

23) T. Jannson, J. Jannson, "Temporal self-imaging effect in single mode fibers", J. Opt. Soc. Am. 71, 1373-1376 (1981).

24) J. Schwider, "Single sideband Ronchi test", Appl. Opt. 20, 2635-2642 (1981).

25) W. D. Montgomery, "Generalized intensity self-imaging", J. Opt. Soc. Am. 71, 1529-1533 (1981).

26) W. D. Montgomery, "Self-imaging and unitarity", J. Opt. Soc. Am. 71, 1540-1541 (1981).

27) O. Kafri, A. Livnat, "Reflective surface analysis using moiré deflectometry", Appl. Opt. 20, 3098-3100 (1981).

28) Y. Imai, Y. Ohtsuka, "Acoustically modified optical Fresnel diffraction by a slit and a periodic object in relation to periodic partial coherence", Opt. Commun. 43, 242-246 (1982).

29) O. Kafri, "Moiré deflectometry", Phys. Bull. 33, 197 (1982).

30) O. Kafri, E. Keren, A. Livnat, "Infinite fringe moiré deflectometry", Appl. Opt. 21, 3884-3886 (1982).

31) A. A. Friesem, U. Levy, Y. Silberberg, "Parallel transmission of images through single optical fibers", Proc. IEEE 71, 208-221 (1983).

32) K. He, J. Jahns, A. W. Lohmann, "Talbot interferometry with a vibrating phase object", Opt. Commun. 45, 295-300 (1983).

33) T. Jannson, "Self-imaging effect in physical radiometry", J. Opt. Soc. Am. 73, 402-404 (1983).

34) G. R. Reddy, V. V. Rao, "Fresnel diffraction images of complex sinusoidal object under Gaussian beam illumination", Atti Fond. G. Ronchi 38, 206-213 (1983).

35) S. Cartwright, "Incoherent optical processing: A coherence theory approach", Appl. Opt. 23, 862-871 (1984).

36) K. H. Brenner, J. Ojeda-Castaneda, "Ambiguity function and Wigner distribution function applied to partially coherent imagery", Opt. Acta 31, 213-223 (1984).

37) G. S. Rau, E. Bar-Ziv, "Deflection mapping of flames using the moiré effect", Appl. Opt. 23, 2687-2692 (1984).

38) Y. S. Cheng, "Fringe formation in incoherent light with a two-grating interferometer", Appl. Opt. 23, 3057-3059 (1984).

39) E. Bar-Ziv, "Effect of diffraction on the moiré image for temperature mapping in flames", Appl. Opt. 23, 4040-4044 (1984).

40) B. Packross, R. Eschbach, O Bryngdahl, "Self-imaging in polychromatic illumination", Proc. SPIE 492, 215-218 (1984).

41) E. Bar-Ziv, S. Sgulim, D. Manor, "Effect of diffraction on the moiré image. II. Experiment", J. Opt. Soc. Am. A 2, 380-385 (1985).

42) T. D. Ebralidze, R. S. Megreleshvili, M. A. Bazadze, "Phase modulation of self-imaging in the Talbot effect", Opt. Spectrosc. 58, 118-120 (1985).

43) V. A. Epishin, V. Y. Zaslavskii, M. V. Neofitnyi, "Properties of diffraction images of aperiodic transparencies", Opt. Spectrosc. 58, 733-735 (1985).

44) S. Jutamulia, T. Asakura, "A general approach to noncoherent correlations", J. Optics (Paris) 16, 121-125 (1985).

45) J. Ojeda-Castaneda, E. E. Sicre, "Quasi ray-optical approach to longitudinal periodicities of free and bounded wavefields", Opt. Acta 32, 17-26 (1985).

46) J. Sethuraman, "Bloch function and Lau effect", Opt. Commun. 52, 377-379 (1985).

47) V. V. Antyukhov, A. F. Glova, O. R. Kachurin, F. V. Lebedev, V. V. Likhanskii, A. P. Napartovich, V. D. Pis'mennyi, "Effective phase locking of an array of lasers", JETP Lett. 44, 78-81 (1986).

48) C. Colautti, E. E. Sicre, M. Garavaglia, "Incoherent optical spatial filtering based on the Lau effect", Opt. Commun. 57, 16-20 (1986).

49) J. R. Leger, G. J. Swanson, W. B. Veldkamp, "Coherent beam addition of GaAlAs lasers by binary phase gratings", Appl. Phys. Lett. 48, 888-890 (1986).

50) J. Ojeda-Castaneda, P. Andrés, A. Diaz, "Objects that exhibit high focal depth", Opt. Lett. 11, 267-269 (1986).

51) O. Kafri, E. Keren, A. Livnat, "Measurement of low density transmission gratings by moiré deflectometry: Hybrid Talbot effect", Appl. Opt. 26, 28-29 (1987).

52) J. Tu, "Theoretical analysis of the Lau effect with a sinusoidal phase grating", J. Mod. Opt. 34, 1057-1065 (1987).

53) C. Colautti, L. M. Zerbino, E. E. Sicre, M. Garavaglia, "Lau effect using circular gratings", Appl. Opt. 26, 2061-2062 (1987).

54) C. Colautti, B. Ruiz, E. E. Sicre, M. Garavaglia, "Walsh functions: Analysis of their properties under Fresnel diffraction", J. Mod. Opt. 34, 1385-1391 (1987).

55) R. Arizaga, R. D. Torroba, M. Garavaglia, "Real time pseudocolor phase display by using a grating-speckle interferometer", Opt. Commun. 65, 107-109 (1988).

56) S. Cartwright, "Near field Lau effect", Appl. Opt. 27, 2100-2101 (1988).

57) S. Chitralekha, K. V. Avudainayagam, S. V. Pappu, P. S. Ramanujam, "Experimental verification of the lateral periodicity of axially periodic incoherent fiels using the Lau effect", J. Mod. Opt. 35, 1263-1267 (1988).

58) C. Colautti, E. E. Sicre, M. Garavaglia, "Analysis of the Lau effect using Walsh functions", Opt. Lett. 13, 1069-1071, (1988).

59) S. Kessler, J. Hebenstreit, G. Nitzsche, "Effect of source size and spectral width on the Fourier imaging of a periodic object", Optik 80, 80-90 (1988).

60) A. Kolodziejczyk, "Self-imaging effect - A new approach", Opt. Commun. 65, 84-86 (1988).

61) M. P. Kothiyal, R. S. Sirohi, K. J. Rosenburch, "Improved techniques for collimation testing", Opt. Laser Technol. 20, 139-144 (1988).

62) T. Jinhong, "The diffraction near fields and Lau effect of a square-wave modulated phase grating", J. Mod. Opt. 35, 1399-1408 (1988).

63) L. Liu, "Interferometry based on the partially coherent effect lying between the Talbot and Lau effect", J. Mod. Opt. 35, 1605-1618 (1988).

64) J. Ojeda-Castaneda, P. Andrés, J. Ibarra, "Lensless theta decoder with high throughput", Opt. Commun. 67, 256-260 (1988).

65) J. Ojeda-Castaneda, J. C. Barreiro, J. Ibarra, "Schardin-Lau interferometer", Opt. Commun. 67, 325-330 (1988).

66) J. Ojeda-Castaneda, E. Tepichin, "Incoherent speckle optical synthesizer", Opt. Commun. 69, 113-116 (1988).

67) K. Patorski, "Talbot interferometry with increased shear: part 3", Appl. Opt. 27, 3875-3878 (1988).

68) R. D. Torroba, "Self-Fourier transforming phenomenon", Optik 80, 113-114 (1988).

69) R. D. Torroba, R. Arizaga, "Lau effect by using speckle patterns", Optik 79, 90-91 (1988).

70) J. Tu, "The diffraction near fields and Lau effect of a square-wave modulated phase grating", J. Mod. Opt. 35, 1399-1408 (1988).

71) L. Wronkowski, "Fresnel images of a binary diffraction grating with open ratio 0.5", J. Mod. Opt. 35, 1417-1422 (1988).

72) J. Zhang, L. Liu, "Optical logical operation and moiré pattern", Opt. Commun. 66, 179-182 (1988).

73) P. Andrés, E. Tepichin, J. Ojeda-Castaneda, "Lau rings: Inregister incoherent superposition of radial self-images", Opt. Commun. 72, 47-53 (1989).

74) A. M. Andreyev, V. M. Ginzburg, N. M. Ramishvili, "The use of the Talbot effect in dynamic measurements of deformed liquid/gas interface surface shape", Opt. Commun. 73, 429-433 (1989).

75) A. M. Andreyev, V. M. Ginzburg, "Application of Talbot effect to drops and thin films shape and wetting angles measurements", Opt. Commun. 74, 171 (1989).

76) J. C. Barreiro, P. Andrés, J. Ojeda-Castaneda, "Lau effect with only phase gratings", Opt. Commun. 73, 106-110 (1989).

77) P. A. Belanger, "Periodic restoration of pulse trains in a linear dispersive medium", IEEE Photonics Technol. Lett. 1, 71-72 (1989).

78) J. C. Bhattacharya, "Measurement of the refractive index using the Talbot effect and a moiré technique", Appl. Opt. 28, 2600-2604 (1989).

79) C. W. Chang, D. C. Su, "An improved technique of measuring the focal length of a lens", Opt. Commun. 73, 257-262 (1989).

80) S. Chitralekha, K. V. Avudainayagam, S. V. Pappu, "Role of spatial coherence on the rotation sensitivity of Lau fringes: An experimental study", Appl. Opt. 28, 345-349 (1989).

81) S. Chitralekha, K. V. Avudainayagam, S. V. Pappu, "Rotation sensitivity of Lau fringes: An analysis based on coherence theory", Opt. Laser Technol. 21, 265-267 (1989).

82) C. Colautti, S. I. Grosz, E. E. Sicre, "Code transmission through aberrating media using self-imaging", Optik 82, 144-146 (1989).

83) F. X. D'Amato, E. T. Siebert, C. Roychoudhuri, "Coherent operation of an array of diode lasers using a spatial filter in a Talbot cavity", Appl. Phys. Lett. 55, 816-818 (1989).

84) A. De, A. Ghosh, A. K. Chakraborty, "Chromatic effects in the phenomenon of self-imaging", Optik 83, 47-50 (1989).

85) G. Indebetouw, "Nondiffracting optical fields: Some remarks on their analysis and synthesis", J. Opt. Soc. Am. A 6, 150-152 (1989).

86) M. Jansen, J. J. Yang, S. S. Ou, D. Botez, J. Wilcox, L. Mawst, "Diffraction limited operation from monolithically integrated diode-laser array and self-imaging (Talbot) cavity", Appl. Phys. Lett. 55, 1949-1951 (1989).

87) J. R. Leger, "Lateral mode control of an AlGaAs laser array in a Talbot cavity", Appl. Phys. Lett. 55, 334-336 (1989).

88) L. Liu, "Lau effect in a multi-grating system", Opt. Commun. 70, 267-271 (1989).

89) L. Liu, "Talbot and Lau effects on incident beams of arbitrary wavefront", Appl. Opt. 28, 4668-4678 (1989).

90) L. Liu, "Lau cavity and phase locking of laser arrays", Opt. Lett. 14, 1312-1314 (1989).

91) A. W. Lohmann, A. S. Marathay, "About periodicities in 3-D wavefields", Appl. Opt. 28, 4419-4423 (1989).

92) J. Ojeda-Castaneda, P. Andrés, J. C. Barreiro, "Abbe-Porter experiment and logic operations", Opt. Commun. 71, 145-150 (1989)

93) J. Ojeda-Castaneda, J. Ibarra, J. C. Barreiro, "Noncoherent Talbot effect: Coherence theory and applications", Opt. Commun. 71, 151-155 (1989).

94) E. Tepichin, J. Ojeda-Castaneda, "Talbot interferometers with simultaneous dark and bright fields", Appl. Opt. 28, 1517-1520 (1989).

95) A. Vasara, J. Turunen, A. Friberg, "Realization of general non-diffracting beams with computer generated holograms", J. Opt. Soc. Am. A 6, 1748-1754 (1989).

96) S. Chitralekha, K. V. Avudainayagam, S. V. Pappu, "Sensitivity of Lau fringes to grating rotation: Theoretical analysis", Appl. Opt. 29, 125-128 (1990).

97) K. S. Gupta, A. Basuray, S. K. Sarkar, A. Ghosh, D. K. Basu, " Self-imaging of a sector like radial grating", Optik 84, 149-152 (1990).

98) E. Ho, F. Koyama, K. Iga, "Effective reflectivity from self-imaging in a Talbot cavity and its effect on the threshold of a finite 2-D surface emitting laser array", Appl. Opt. 29, 5080-5085 (1990).

99) G. Indebetouw, "Necessary condition for temporal self-imaging in a linear dispersive medium", J. Mod. Opt. 37, 1439-1451 (1990).

100) P. Jennison, L. G. Gregoris, E. Kristufek, "A self-imaging technique for focussing an IR telescope", Proc. SPIE 1309, 245-256 (1990).

101) J. R. Leger, G. J. Swanson, "Efficient array illuminator using binary-optics phase plates at fractional Talbot planes", Opt. Lett. 15, 288-290 (1990).

102) L. Liu, X. Liu, L. Ye, "Joint Talbot effect and logic operated moiré patterns", J. Opt. Soc. Am. A 7, 970-976 (1990).

103) L. Liu, L. Ye, X. Liu, "Talbot interferometry using logic operated moiré", Opt. Commun. 77, 279-284 (1990).

104) A. W. Lohmann, J. A. Thomas, "Making an array illuminator based on the Talbot effect", Appl. Opt. 29, 4337-4340 (1990).

105) Y. Nakano, R. Ohmura, K. Murata, "Refractive power mapping of progressive power lenses using Talbot interferometry and digital image processing", Opt. Laser Technol. 22, 195-198 (1990).

106) CH. Pan, L. Liu, "Study of fill factor in self-imaging aperture filling of phase-locked arrays", Opt. Commun. 77, 210-214 (1990).

107) M. Piche, P. Godin, P. A. Belanger, "Self-imaging laser resonators using the Talbot effect", Proc. SPIE 1224, 210-214 (1990).

108) T. C. Poon, G. Indebetouw, "Incoherent bandpass spatial filtering with longitudinal periodicity", Appl. Opt. 29, 3345-3351 (1990).

109) A. P. Smirnov, "Talbot effect for amplitude-phase periodic transparencies", Opt. Spectrosc. 69, 700-701 (1990).

110) S. C. Som, A. Satpathi, "The generalised Lau effect", J. Mod. Opt. 37, 1215-1226 (1990).

111) D. C. Su, C. W. Chang, "A new technique for measuring the effective focal length of a thick lens or a compound lens", Opt. Commun. 78, 118-122 (1990).

112) R. Torroba, "Zone plate periodicities and Talbot effect", Optik 84, 64-65 (1990).

113) R. Rorroba, R. Arizaga, "An extension of the Lau effect based on O.T.F. theory", Optik 85, 155-156 (1990).

114) J. C. Barreiro, P. Andrés, J. Ojeda-Castaneda, J. Lancis, "Multiple incoherent 2-D optical correlator", Opt. Commun. 84, 237-241 (1991).

115) J. C. Bhattacharya, A. K. Aggarwal, "Measurement of the focal length of a collimating lens using the Talbot effect and the moiré technique", Appl. Opt. 30, 4479-4480 (1991).

116) E. Bonet, J. Ojeda-Castaneda, A. Pons, "Image synthesis using the Lau effect", Opt. Commun. 81, 285-290 (1991).

117) L. V. Bourimbourde, C. Colautti, E. E. Sicre, "Rotational sensitivity of Lau fringes - A WDF approach", Optik 87, 151-154 (1991).

118) M. P. Kothiyal, K. V. Sriram, R. S. Sirohi, "Setting sensitivity in Talbot interferometry with modified gratings", Opt. Laser Technol. 23, 361-365 (1991).

119) P. M. Mejias, R. Martinez Herrero, "Diffraction by one-dimensional Ronchi grids: on the validity of the Talbot effect", J. Opt. Soc. Am. A 8, 266 (1991).

120) R. Rodriguez-Vera, D. Kerr, F. Mendoza-Santoyo, "3-D contouring of diffuse objects by Talbot projected fringes", J. Mod. Opt. 38, 1935-1945 (1991).

121) P. Szwaykowski, J. Ojeda-Castaneda, "Nondiffracting beams and the self-imaging phenomenon", Opt. Commun. 83, 1-4 (1991).

122) J. Tu, L. Zhan, "Two-dimensional theory of the Lau-Talbot-Moiré effect under partially coherent illumination", Opt. Commun. 82, 229-235 (1991).

123) J. Turunen, A. Vasara, A. T. Friberg, "Propagation invariance and self-imaging in variable coherence optics", J. Opt. Soc. Am. A 8, 282-289 (1991).

124) R. Uma Maheshwari, N. Takai, T. Asakura, "Talbot images by a spatially fluctuating grating", Opt. Commun. 81, 259-266 (1991).

125) R. Uma Maheshwari, T. Asakura, N. Takai, "Talbot images by a spatially randomized array of dots", Optik 87, 163-169 (1991).

126) V. Arrizon, J. Ojeda-Castaneda,"Irradiance at Fresnel planes of a phase grating", J. Opt. Soc. Am. A 9, 1801-1806 (1992).

127) J. F. Clauser, M. W. Reinsch, "New theoretical and experimental results in Fresnel optics with applications to matter-wave and x-ray interferometry", Appl. Phys. B 54, 380-395 (1992).

128) X. Y. Da, "Talbot effect and the array illuminators that are based on it", Appl. Opt. 31, 2983-2986 (1992).

129) S. D. Hector, G. J. Swanson, "Shared aperture for two beams of different wavelength using reflective phase gratings and the Talbot effect", Appl. Opt. 31, 7267-7276 (1992).

130) A. Kalestynski, "Imaging in spatially periodical light fields", Opt. Eng. 31, 465 (1992).

131) G. Indebetouw, "Quasi self-imaging using aperiodic sequences", J. Opt. Soc. Am. A 9, 549-558 (1992).

132) P. Latimer, R. F. Crouse, "Talbot effect reinterpreted", Appl. Opt. 31, 80-89 (1992).

133) A. W. Lohmann, D. Mendlovic, "Self-Fourier objects and other self-transform objects", J. Opt. Soc. Am. A 9, 2009-2012 (1992).

134) A. W. Lohmann, S. Sinzinger, "Improved array illuminators", Appl. Opt. 31, 5447-5452 (1992).

135) S. C. Som, A. Satpathi, S. K. Ghorai, "The finite-conjugate self-imaging and the generalized Lau effect due to complex gratings. Application to visualisation of the PRG in a BSO crystal", J. Mod. Opt. 39, 1501-1515 (1992).

136) K. V. Sriram, M. P. Kothiyal, R. S. Sirohi, "Direct determination of focal length by using Talbot interferometry", Appl. Opt. 31, 5984-5987 (1992).

137) J. Tu, L. Zhan, "Analysis of general double periodic structure diffraction phenomena based on the ambiguity function", J. Opt. Soc. Am. A 9, 983-995 (1992).

138) F. Yu, Y. Liang, L. Zhan, L. Liu, "Lau effect of a skew periodic object: Theoretical and experimental investigation", J. Opt. Soc. Am. A 9, 2013-2020 (1992).

139) V. Arrizon, "Array illuminator with an arrangement of binary phase gratings", Opt. Lett. 18, 1205-1207 (1993).

140) V. Arrizon, J. Ojeda-Castaneda, "Talbot array illuminators with binary phase gratings", Opt. Lett. 18, 1-3 (1993).

141) V. Arrizon, P. Szwaykowski, "Talbot array illuminator with multilevel phase gratings", Appl. Opt. 32, 1109-1114 (1993).

142) J. C. Barreiro, J. Ojeda-Castaneda, "Degree of coherence: a lensless measuring technique", Opt. Lett. 18, 302-304 (1993).

143) L. V. Bourimborde, A. O. Tonso, C. Colautti, E. E. Sicre, "Real-time measurement of the meniscus shape using the Talbot effect", Opt. Commun. 102, 397-401 (1993).

144) D. Choudhury, T. K. Acharya, A. Ghosh, "Self-imaging by an amplitude grating followed by a glass wedge and its application in image subtraction", Opt. Commun. 98, 245-249 (1993).

145) J. Ibarra, J. Ojeda-Castaneda, "Talbot interferometry: a new geometry", Opt. Commun. 96, 294 (1993).

146) H. Ichikawa, J. Turunen, "Improvement of the diffraction efficiency of liquid crystal spatial light modulators by the Talbot effect", Kogaku (Jpn. J. Opt.) 22, 151-155 (1993).

147) P. Latimer, "Talbot plane patterns: grating images or interference effects?", Appl. Opt. 32, 1078-1083 (1993).

148) P. Latimer, "Use of the Talbot effect to couple the phases of lasers", Appl. Phys. Lett. 62, 217-218 (1993).

149) P. Latimer, "Talbot effect reinterpreted: reply to comment", Appl. Opt. 32, 3468-3469 (1993).

150) G. Martinez, J. Carranza, J. Ojeda-Castaneda, "Moiré synthesis of self-imaging fields", Opt. Commun. 96, 21-26 (1993).

151) E. Noponen, J. Turunen, "Electromagnetic theory of Talbot imaging", Opt. Commun. 98, 132-140 (1993).

152) Y. Pan, T. Asakura, "Generalised Lau effect under incoherent illumination of a divergent beam", Opt. Eng. 32, 2850-2855 (1993).

153) J. Pomarico, R. Torroba, "Colour image operations based on white light diffraction experiments (Lau effect)", Eur. J. Phys. 14, 114-120 (1993).

154) I. Seyd-Darwish, J. Taboury, P. Chavel, "Recording conditions of an array-illuminator hologram based on the Talbot effect", Appl. Opt. 32, 7135-7144 (1993).

155) Y. T. Shie, J. A. Lin, "Rotation of grating in Lau interferometer", Optik 93, 27-31 (1993).

156) P. Szwaykowski, "Talbot effect reinterpreted: comment", Appl. Opt. 32, 3466-3467 (1993).

157) J. Turunen, A. T. Friberg, "Self-imaging and propagation-invariance in electromagnetics fields", Pure Appl. Opt. 2, 51-60 (1993).

158) J. Turunen, "Fractional Talbot imaging setup for high efficiency real-time diffractive optics", Pure Appl. Opt. 2, 243-250 (1993).

159) L. Wang, D. Yun, "Talbot effect and its application in measurement of in-plane strain", Opt. Lasers Eng. 18, 109-114 (1993).

160) L. Wronkowski, "Fresnel images of binary diffraction gratings with open ratio greater than 0.5", J. Mod. Opt. 40, 537-542 (1993).

161) V. Arrizon, J. Ibarra, "Trading visibility and opening ratio in Talbot arrays", Opt. Commun. 112, 271-277 (1994).

162) V. Arrizon, J. Ojeda-Castaneda, "Multilevel phase gratings for array illuminators", Appl. Opt. 33, 5925-5931 (1994).

163) E. Bonet, P. Andrés, J. C. Barreiro, A. Pons, "Self-imaging properties of a periodic microlens array: versatile array illuminator realization", Opt. Commun. 106, 39-44 (1994).

164) S. Chitralekha Nayagam, K. Singh, "Self-imaging and related phenomena. A bibliographic review: 1836-1993", Atti Fond. G. Ronchi 49, 1035-1084 (1994).

165) P. Latimer, "Talbot effect and Cornu's spiral", Appl. Opt. 33, 4983-4987 (1994).

166) G. Martinez-Niconoff, J. Carranza, A. Cornejo-Rodriguez, "Self-imaging of objects with variable geometry", Opt. Commun. 111, 209-213 (1994).

167) C. Shaker, A. J. Pramila Daniel, A. K. Nirala, "Temperature profile measurement of axysimmetric gaseous flames using speckle photography, speckle shearing interferometry, and Talbot interferometry", Opt. Eng. 33, 1983-1988 (1994).

168) C. Shaker, A. J. Pramila Daniel, S. K. Angra, "Measurement of the temperature profile of an atomic absorption spectrophotometer burner using a Talbot intyerferometer with circular gratings", Opt. Eng. 33, 2663-2669 (1994).

169) N. Shigai, T. Matsumoto, N. Teshima, A. Asano, S. Yokozeki, "Measurement of a transparent object by using an automated Talbot interferometer", Optical Review 1, 273-275 (1994).

170) E. Tepichin, G. Ramirez, "Grating interferometer for pseudocolor encoding", Opt. Commun. 111, 233-237 (1994).

171) J. Westerholm, J. Turunen, J. Huttunen, "Fresnel diffraction in fractional Talbot planes: a new formulation", J. Opt. Soc. Am. A 11, 1283-1290 (1994).

172) G. S. Agarwal, "Talbot effect in a quadratic index medium", Opt. Commun. 119, 30-32 (1995).

173) V. Arrizon, J. Ojeda-Castaneda, "Binary phase grating for array generation at 1/16 of Talbot length", J. Opt. Soc. Am. A 12, 801-804 (1995).

174) V. Arrizon, J. Ojeda-Castaneda, "Fresnel diffraction of substructured gratings: matrix description", Opt. Lett. 20, 118-120 (1995).

175) H. Hamam, J. L. de Bougrenet de la Tocnaye, "Efficient Fresnel transform algorithm based on fractional Fresnel diffraction", J. Opt. Soc. Am. A 12, 1920-1931 (1995).

176) J. Lancis, E. E. Sicre, A. Pons, G. Saavedra, "Achromatic white-light self-imaging phenomenon: an approach using the Wigner distribution function", J. Mod. Opt. 42, 425-434 (1995).

177) A. W. Lohmann, J. Ojeda-Castaneda, J. Ibarra, "Simple coherence measurement with a modified Lau Interferometer", Opt. Lett. 20, 321-323 (1995).

178) N. Takay, Y. Kagaya, "Talbot images of two-dimensional Gaussian beam arrays with amplitude fluctuation", Optical Review 2, 243-248 (1995).

179) C. Zhou, L. Liu, "Simple equations for the calculation of a multilevel phase grating for Talbot array illumination", Opt. Commun. 115, 40-44 (1995).

180) V. I. Kislov, "The Talbot effect and self-reproduction of a periodic field between Talbot planes", Opt. Spectrosc. 78, 114 (1995).

181) C. Yih-Shyang, C. Ray-Chung, "Image formation for two-dimensional periodic object using Talbot effect", Opt. Commun 120, 335-347 (1995).

182) V. Arrizon, J. Ibarra, A. Serrano-Heredia, "Split Talbot array illuminators", Opt. Commun. 123, 63-70 (1996).

183) V. Arrizon, E. Tepichin, M. Ortiz-Gutierrez, A. W. Lohmann, "Fresnel diffraction at 1/4 of the Talbot distance of an anisotropic grating", Opt. Commun. 127, 171-175 (1996).

184) M. V. Berry, S. Klein, "Integer, fractional and fractal Talbot effects", J. Mod. Opt. 43, 2139-2164 (1996).

185) X. Y. Da, Q. Q. Wang, X. Xue, "Two-dimensional Talbot array illuminators with single-step phase grating", J. Opt. Soc. Am. A 13, 126-130 (1996).

186) P. E. Dyer, R. J. Farley, R. Giedl, "Analysis and application of a 0/1 order Talbot interferometer for 193 nm laser grating formation", Opt. Commun. 129, 98-108 (1996).

187) O. Guyot, H. Hamam, "Logic operations based on the fractional Talbot effect", Opt. Commun. 127, 96-106 (1996).

188) H. Hamam, J. L. de Bougrenet de la Tocnaye, "Multilayer array illuminators with binary phase plates at fractional Talbot planes", Appl. Opt. 35, 1820-1826 (1996).

189) M. Testorf, J. Ojeda-Castaneda, "Fractional Talbot effect: analysis in phase space", J. Opt. Soc. Am. A 13, 119-125 (1996).

190) M. Testorf, J. Jahns, N. A. Khilo, A. M. Goncharenko, "Talbot effect for oblique angle of light propagation", Opt. Commun. 129, 167-172 (1996).

191) Y. Wanming, Y. Dazhen, W. Lingli, "Talbot and Fourier moiré deflectometry and its applications in engineering evaluation", Opt. Lasers Eng. 25, 163-177 (1996).

192) A. A. Amorim, A. M. Lasprilla, M. C. Tebaldi, N. A. Bolognini, "Study of self-images formation through incoherent register in photorefractive materials", Proc. SPIE 2730, 427-433 (1996).

193) V. Arrizon, J. G. Ibarra, A. W. Lohmann, "Array illuminators with phase gratings in cascade" Opt. Commun. 124, 229-234 (1996).

194) H. Hamam, "Design of Talbot array illuminators", Opt. Commun. 131, 359-370 (1996).

195) K. Hane, H. Takahashi, "Optical transfer function analysis of Lau-type grating atom interferometer", Optical Review 3, 207-210 (1996).

196) Su Jingquin, Zhou Chongxi, Guo Yong-Kang, "Deep-etched multiphase level fractional Talbot grating", Proc. SPIE 2885, 179-181 (1996).

197) D. Malacara-Doblado, D. Malacara-Hernandez, "Talbot auto-images using Huygens-Fresnel principle", Proc. SPIE 2730, 418-422 (1996).

198) A. Serrano-Heredia, G. Lu, P. Purwosumarto, F. T. S. Yu, "Measurement of the phase modulation in liquid crystal television based on the fractional Talbot effect", Opt. Eng. 35, 2680-2684 (1996).

199) A. A. Silva, R. Rodriguez Vera, "Design of an optical level using the Talbot effect", Proc. SPIE 2730, 423-426 (1996).

200) M. Testorf, J. Jahns, N. A. Khilo, A. M. Goncharenko, "Design of Talbot array illuminators for planar optics", Opt. Commun. 132, 205-211 (1996).

201) F. T. S. Yu, P. Purwosumarto, S. Jutamulia, "Application of source encoding to incoherent Talbot imaging and the Lau effect", Opt. Las. Technol. 28, 521-523 (1996).

202) A. M. Andreev, M. Vera Ginzburg, "Dynamic liquid surface measurements by Talbot effect", Proc. SPIE 3010, 280-284 (1997).

203) V. Arrizon, J. G. Ibarra, A. Serrano-Heredia, J. Lin, X. Yang, "Talbot array illuminators with liquid crystal displays", Opt. Eng. 36, 189-197 (1997).

204) K. V. Avudainayagam, S. Chitralekha, "Lau effect and beam collimation", J. Mod. Opt. 44, 175-178 (1997).

205) K. V. Avudainayagam, S. Chitra Nayagam, "Two-grating diffraction and Lau effect under laser illumination", Appl. Opt. 36, 2029-2033 (1997).

206) L. M. Bernardo, "Talbot self-imaging in fractional Fourier planes of real and complex orders", Opt. Commun. 140, 195-198 (1997).

207) B. Besold, N. Lindlein, "Fractional Talbot effect for periodic microlens arrays", Opt. Eng. 36, 1099-1105 (1997).

208) P. Cloetens, J. P. Guigay, C. De Martino, J. Baruchel, M. Schlenker, "Fractional Talbot imaging of phase gratings with hard x rays", Opt. Let. 22, 1059-1061 (1997).

209) H. Hamam, "Talbot array illuminators: general approach", Appl. Opt. 36, 2319-2327 (1997).

210) W. Klaus, Y. Hamaguchi, K. Kodate, Y. Arimoto, "Theoretical and experimental evaluation of waveguide Talbot array illuminators", Proc. SPIE 3010, 38-48 (1997).

211) W. Klaus, Y. Hamaguchi, K. Kodate, Y. Arimoto, "Talbot array illuminators providing spatial intensity and phase modulation", J. Opt. Soc. Am. A 14, 1092-1102 (1997).

212) J. Lancis, E. Tajahuerce, P. Andres, V. Climent, E. Tepichin, "Single-zone-plate achromatic Fresnel-transform setup: pattern tunability", Opt. Commun. 136, 297-305 (1997).

213) D. Malacara-Doblado, "Measuring the curvature of spherical wavefronts with Talbot interferometry", Opt. Eng. 36, 2016-2024 (1997).

214) A. M. Smolyaninov, "An array generator based on the fractional Talbot effect for Gaussian beams", Opt. Commun. 133, 55-61 (1997).

215) K. Tatah, A. Fukumoto, T. J. Suleski, D. C. O'Shea, "Photoablation and lens damage from fractional Talbot images of Dammann gratings", Appl. Opt. 36, 3577-3580 (1997).