Skip to main content
SpringerLink
Log in

Wave Optics

  • Chapter
Laser Resonators and Beam Propagation

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 108))

  • 3002 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Chapter 2 Wave Optics

  1. E. Waetzmann, Interferenzmethode zur Untersuchung der Abbildungsfehler optischer Systeme, Ann. Phys. 39, 1043, 1912

    Google Scholar 

  2. A. Rubinowicz, Die Beugungswelle in der Kirchhoffschen Theorie der Beugungs-erscheinungen, Annalen der Physik 53(12), 257, 1917

    Article  ADS  Google Scholar 

  3. E. Wigner, On the quantum correction for thermodynamic equilibrium, Phys. Rev. 40, 749, 1932

    Article  MATH  ADS  Google Scholar 

  4. P.M. Woodward, Probability and Information Theory. London: Pergamon Press 1953, Chapter 7.

    MATH  Google Scholar 

  5. A.G. Fox, T. Li, Modes in a maser interferometer with curved and tilted mirrors, Proc. IEEE 51, 80, 1963

    Article  Google Scholar 

  6. E. Wolf, E.W. Marchand, Comparison of the Kirchhoff and the Rayleigh-Sommerfeld theories of diffraction at an aperture, J. Opt. Soc. Am. 54(5), 587, 1964

    Article  MathSciNet  ADS  Google Scholar 

  7. M. Abramowitz, A. Stegun: Handbook of mathematical functions. New York: Dover Publ. 1964

    MATH  Google Scholar 

  8. H. Kogelnik, T. Li, Laser beams and resonators, Proc. IEEE 54, 1312, 1966

    Article  Google Scholar 

  9. A. Walther, Radiometry and coherence, J. Opt. Soc. Am. 58, 1256, 1968

    Article  ADS  Google Scholar 

  10. P. Baues, Huygens’ principle in inhomogeneous isotropic media and a general integral equation applicable to optical resonators, Opto-Electr.1, 37, 1969

    Article  Google Scholar 

  11. J.A. Arnaud, H. Kogelnik, Gaussian light beams with general astigmatism, Appl. Opt. 8(8), 1686, 1969

    Article  ADS  Google Scholar 

  12. M.V.R.K. Mruthy, A compact lateral shear interferometer based on the Michelson interferometer, Appl. Opt. 9, 1146, 1970

    Article  ADS  Google Scholar 

  13. S.A. Collins, Diffraction-integral written in terms of matrix-optics, J. Opt. Soc. Am. 60(9), 1168, 1970

    Article  ADS  Google Scholar 

  14. J.A. Arnaud, Nonorthogonal optical waveguides and resonators, Bell. Syst. Tech. J. 49, 2311, 1970

    MATH  MathSciNet  Google Scholar 

  15. J.A. Arnaud, Hamiltonian theory of beam mode propagation, in: Progress in Optics XI, editor: E. Wolf, Amsterdam: North Holland 1973, pp. 247

    Google Scholar 

  16. A. Papoulis, Ambiguity function in Fourier optics, J. Opt. Soc. Am. 64, 779, 1974

    Article  ADS  Google Scholar 

  17. M. Lax, W.H. Louisell, W.B. McKnight, From Maxwell to paraxial wave optics, Phys.Rev. A 11, 1365, 1975

    Article  ADS  Google Scholar 

  18. M.J. Bastiaans, Wigner distribution function and its application to first order optics, J. Opt. Soc. Am. 69, 1710, 1979

    Article  ADS  Google Scholar 

  19. M.J. Bastiaans, Wigner distribution function and its application to first order optics, J. Opt. Soc. Am. A 69, 1710, 1979

    Article  ADS  Google Scholar 

  20. G.P. Argawal, D.N. Pattanayak, Gaussian beam propagation beyond the paraxial approximation, JOSA 69, 575, 1979

    Article  ADS  Google Scholar 

  21. F. Gori, Collett-Wolf sources and multimode lasers, Opt. Commun. 34, 301, 1980

    Article  ADS  Google Scholar 

  22. H.O. Bartelt, K.-H. Brenner, A.W. Lohmann, The Wigner distribution function and its optical production, Opt. Commun. 32, 32, 1980

    Article  ADS  Google Scholar 

  23. M.J. Bastiaans, The Wigner distribution function of partially coherent light, Optica Acta 28, 1215, 1981

    MathSciNet  ADS  Google Scholar 

  24. E. Wolf, New theory of partial coherence in the space-frequency domain, J. Opt. Soc. Am. 72, 343, 1982

    Article  ADS  Google Scholar 

  25. M.V. Klein, T.E. Furtak: Optics. 2nd edition, New York, Chichester, Brisbane, Toronto, Singapore: Wiley & Sons 1986, pp. 647–653

    Google Scholar 

  26. R. Simon, E.C.G. Sudarshan, N. Mukunda, Anisotropic Gaussian Schell-model beams; passage through optical systems and associated invariants, Phys. Rev. A 31, 2419, 1985

    Article  MathSciNet  ADS  Google Scholar 

  27. M.J. Bastiaans, Application of the Wigner distribution function to partially coherent light, J. Opt. Soc. Am. A 3, 1227, 1986

    Article  ADS  Google Scholar 

  28. V.V. Korobkin, L.Y. Polonskii, V.P. Poponin, L.N. Pyanitskii, Sov. J. Quant. Electron. 16, 178, 1986

    Article  ADS  Google Scholar 

  29. J. Turunen, A.T. Friberg, Matrix representation of Gaussian Schell model beams in optical systems, Opt. Las. Tech. 18, 259, 1986

    Article  ADS  Google Scholar 

  30. J. Dumin, Exact solutions for nondiffracting beams, J. Opt. Soc. Am. A 4(4), 651, 1987

    Article  ADS  Google Scholar 

  31. J. Durnin, J.J. Miceli, J.H. Eberly, Diffraction-free beams, Phys. Rev. Lett. 58(15), 1499, 1987

    Article  ADS  Google Scholar 

  32. R. Simon, N. Mukunda, E.C.G. Sudarshan, Partially coherent beams and a generalized ABCD-law, Opt. Commun. 65(5), 322, 1988

    Article  ADS  Google Scholar 

  33. R. Simon, E.C.G. Sudarshan, N. Mukunda, Opt. Commun. 65, 322, 1988

    Article  ADS  Google Scholar 

  34. E. Tervonen, J. Turunen, A.T. Friberg, Transverse laser-mode structure determination from spatial coherence measurements, Appl. Phys. B 49, 409, 1989

    Article  ADS  Google Scholar 

  35. G. Indebetouw, Nondiffracting optical fields, some remarks on their analysis and synthesis, J. Opt. Soc. Am. A 6, 150, 1989

    Article  ADS  Google Scholar 

  36. L. Quigang, W. Shaomin, J. Alda, J. Bernabeu, Transformation of nonsymnmetric Gaussian beams into symmetric ones by means of tensor ABCD law, Optic 85, 67, 1990

    Google Scholar 

  37. A.E. Siegman, New developments in laser resonators, Proceedings of the Society of Photo-Optical Instrumentation Engineers vol. 1224, 2, 1990

    ADS  Google Scholar 

  38. H.S. Lee, B.W. Stewart, D. Will, H. Fenichel, Holographic Bessel beam amplification, Appl. Phys. Lett. 59(54), 3096, 1991

    Article  ADS  Google Scholar 

  39. P.A. Belanger, Beam propagation and the ABCD ray matrices, Opt. Lett. 16, 196, 1991

    Article  ADS  Google Scholar 

  40. M.J. Bastiaans, Second-order moments of the Wigner distribution function in first-order optical systems, Optik 88, 163, 1991

    Google Scholar 

  41. J. Serna, R. Martinez-Herrero, P.M. Mejias, Parametric characterization of generally partially coherent beams propagating through ABCD optical systems, J. Opt. Soc. Am. A 8, 1094, 1991

    Article  ADS  Google Scholar 

  42. K.E. Oughstun, editor, Selected papers on scalar wave diffraction, SPIE Milestone Series Volume MS 51. Bellingham, WA: The Society of Photo-Optical Instrumentation Engineers 1992

    Google Scholar 

  43. H. Weber, Propagation of higher-order intensity moments in quadratic-index media, Opt. Quantum Electron. 24, 1027, 1992

    Article  Google Scholar 

  44. G. Scott, N. McArdle, Efficient generation of nearly diffraction-free beams using an axicon, Opt. Eng. 31, 2640, 1992

    Article  ADS  Google Scholar 

  45. N. Reng, B. Eppich, Definition and measurements of high-power laser beam parameters, Opt. Quantum Electron. 24, 973, 1992

    Article  Google Scholar 

  46. G. Nemes, Measuring and handling general astigmatic beams, Proceedings of the workshop on laser beam characterization, eds.: P.M. Mejias, H. Weber, R. Martinez-Herrero, A. Gonzales-Urena, Sociedad Espanola de Optica, Madrid 1993, pp. 325–358.

    Google Scholar 

  47. R. Simon, K. Sundar, N. Mukunda, Twisted Gaussian Shell-model beams, J. Opt. Soc. Am. A 10, 2008, 1993

    Article  ADS  Google Scholar 

  48. Document ISO 11145:1994, Optics and optical instruments-Lasers and laser-related equipment-Vocabulary and symbols, 1994

    Google Scholar 

  49. B. Eppich, R. Kostka, N. Reng, H. Weber, High power laser beam characterisation, Proceedings of the Society of Photo-Optical Instrumentation Engineers vol. 2206, High power gas and solid state lasers, 469, 1994

    ADS  Google Scholar 

  50. G. Nemes, A.E. Siegman, Measurement of all ten second-order moments of an astigmatic beam by use of rotating simple astigmatic (anamorphic) optics, J. Opt. Soc. Am. A 11(8), 2257, 1994

    Article  ADS  Google Scholar 

  51. A. Yariv, Imaging of coherent fields through lenslike systems, Opt. Lett. 19(20), 1607, 1994

    Article  ADS  Google Scholar 

  52. R. Martinez-Herrero, P.M. Mejias, C. Martinez, Parametric characterization of the phase at the far field, Opt. Lett. 20(7), 651, 1995

    Article  ADS  Google Scholar 

  53. L. Mandel, E. Wolf, Optical coherence and quantum optics, Cambridge, New York, Madrid, Melbourne, Singapore: Cambridge University Press, 1995

    Google Scholar 

  54. T. Graf, J.E. Balmer, Laser beam quality, entropy and the limits of beam shaping, Opt. Commun. 131, 77, 1996

    Article  ADS  Google Scholar 

  55. H. Laabs, B. Ozygus, Excitation of Hermite Gaussian modes in end-pumped solid-state lasers via off-axis pumping, Optics & Laser Technology 28, 213, 1996

    Article  ADS  Google Scholar 

  56. J.W. Goodman: Introduction to Fourier optics, Physical and Quantum Series. London, New York, San Francisco: McGraw Hill 1996

    Google Scholar 

  57. B. Eppich, Complete characterization of partially coherent 2D-beams, Proc. of the 4th International Workshop on Laser Beams and Optics Characterization, Munich 1997, eds.: A. Giesen, M. Morin, Düsseldorf: VDI-Technologiezentrum, 1997

    Google Scholar 

  58. D.W. Coutts, A versatile angular shearing interferometer for measurement of spatial coherence, Conference on Lasers and Electro-Optics Europe 1998, Technical Digest, paper CWI4, 217, 1998

    Google Scholar 

  59. B. Eppich, Die Charakterisierung von Strahlungsfeldern mit der Wigner-Verteilung und deren Messung, Dissertation, Optical Institute, Technical University Berlin, Germany, 1998

    Google Scholar 

  60. F. Gori, M. Santarsiero, R. Borghi, G. Guattari, Intensity-based modal analysis of partially coherent beams with Hermite-Gauss modes, Appl. Opt. 23(13) 989, 1998

    Google Scholar 

  61. P. Paakonen, J. Turunen, Resonators with Bessel-Gauss modes, Opt. Commun. 156, 359, 1998

    Article  ADS  Google Scholar 

  62. H. Laabs, Einfluss nichtparaxialer Strahlenausbreitung und raumlicher Strukturen auf Lasermoden in stabilen Resonatoren, Dissertation D 83, Technical University Berlin, Institute of Optics, 1998

    Google Scholar 

  63. M. Born, E. Wolf, Principles of Optics, Cambridge University Press, 1999

    Google Scholar 

  64. D. Loren, Verstärkungsgeschaltete Cr:YAG und Ti:Saphir Laser mit großer spektraler Breite und guter Strahlqualität, PhD Dissertation, University of Potsdam, Germany, 1999

    Google Scholar 

  65. Document EN ISO 11146, Lasers and laser related equipment-Test methods for laser beam parameters: Beam widths, divergence angle and beam propagation factor (ISO 11146:1999), June 1999

    Google Scholar 

  66. S.M. Jackisch, Shearing Interferometrie zur Laserstrahlcharakterisierung, Diploma Thesis, Technical University Berlin, Germany, Optical Institute, 1999

    Google Scholar 

  67. C.M. Warnsky, B.L. Anderson, C.A. Klein, Determining spatial modes of lasers by coherence measurements, Appl. Opt. 39, 6109, 2000

    Article  ADS  Google Scholar 

  68. J.C. Gutiérrez, M.D. Iturbe-Castillo, S. Chávez-Cerda, Alternative formulation for invariant optical fields, Opt. Lett. 25, 1493, 2000

    Article  ADS  Google Scholar 

  69. E. Trebino, Frequency resolved optical gratings-the measurement of ultrashort laser pulses, Norwell,MA: Kluver Academic Press, 2000

    Google Scholar 

  70. R. Oron, N. Davidson, A.A. Freisen, E. Hasman, Continuous-phase elements can improve laser beam quality, Opt. Lett. 25, 939, 2000

    Article  ADS  Google Scholar 

  71. V. Vaicaitis, Cherenkov-type phase-matched third harmonic generation in air, Opt. Commun. 185, 197, 2001

    Article  ADS  Google Scholar 

  72. B. Eppich, Definition, meaning and measurement of coherence parameters, Proceedings of the Society of Photo-Optical Instrumentation Engineers vol. 4270, 71, 2001

    Google Scholar 

  73. G. Cincotti, A. Ciattoni, C. Palma, Hermite Gauss beams in uniaxially anisotropic crystals, IEEE J. Quant. Electron. 37(12), 1517, 2001

    Article  ADS  Google Scholar 

  74. R. Grunwald, U. Griebner, E.T.J. Nibbering, A. Kummrow, M. Rini, T. Elsaesser, V. Kebbel, H.J. Hartmann, W. Jüptner, Spatially resolved small-angle noncollinear interferometric auto-correlation of ultrashort pulses with microaxicon arrays, J. Opt. Soc. Am. A 18, 2923, 2001

    Article  ADS  Google Scholar 

  75. V.E.R. Pet, R.V. Tsubin, Generation of resonance-enhanced fifth harmonic in Xenon with Bessel-Gauss laser beams, Opt. Commun. 189, 267, 2001

    Article  ADS  Google Scholar 

  76. H. Laabs, B. Eppich, H. Weber, Modal decomposition of partially coherent beams using the ambiguity function, J. Opt. Soc. Am. A 19, 497, 2002

    Article  ADS  Google Scholar 

  77. A. Ciattoni, G. Cincotti, C. Palma, H. Weber, Energy exchange between Cartesian components of a paraxial beam in an uniaxial crystal, J. Opt. Soc. Am., Sept. 2002

    Google Scholar 

  78. A. Ciattoni, G. Cincotti, C. Palma, Propagation of cylindrical symmetric fields in uniaxial crystals, J. Opt. Soc. Am. A 19, 792, 2002

    Article  MathSciNet  ADS  Google Scholar 

  79. G. Machavariani, N. Davidson, E. Hasman, S. Blit, A.A. Ishaaya, A.A. Friesen, Efficient formation of a high-quality beam from a pure high order Hermite-Gaussian mode, Opt. Commun. 209, 266, 2002

    Article  ADS  Google Scholar 

  80. B. Eppich, G. Mann, H. Weber, Spatial coherence-definition and measurements, Proceedings of 35. School on Quantum Electronics, Erice, Italy, 2002

    Google Scholar 

  81. G. Cincotti, A. Ciattone, C. Palma, Hermite Gauss beams in uniaxially anisotropic crystals, IEEE J. Quant. Electron. 37, 12, 2001

    Article  Google Scholar 

  82. A. Ciattoni, G. Cincotti, C. Palma, H. Weber, Energy Exchange between Cartesian components of a paraxial beam in a uniaxial crystal,. J. Opt. Gc. Am. A 19, 1894, 2002.

    Article  ADS  Google Scholar 

  83. A. Ciattoni, G. Cincotti, C. Palma, Propagation of cylindrical symmetric fields in uniaxial crystals, J. Opt. Soc. Am. A 19, 792, 2002

    Article  MathSciNet  ADS  Google Scholar 

  84. P. Muys, E. Vandamme, Direct generation of Bessel beams, Appl. Opt. 41(30), 6315, 2002

    Article  Google Scholar 

  85. J. Sema, F. Encinas-Sanz, G. Nemes, Complete Characterization of a pulsed doughnut-type beam by use of spherical optics and a cylindrical lens, J. Opt. Soc. Am. A 18, 1726, 2001

    Article  ADS  Google Scholar 

  86. B. Eppich, G. Mann, H. Weber, Photonics West, San Jose 2003, Coherence: comparison of interferometric and non-interferometric measurements, Proceedings of the Society of Photo-Optical Instrumentation Engineers vol. 4969, 137, 2003

    ADS  Google Scholar 

  87. R. Martinez-Herrero, P.M. Mejias, H. Weber, On the different definitions of laser beam moments, Opt. Quantum Electron. 25, 423, 1993

    Article  Google Scholar 

  88. S. Lavi, R. Pronchaska, E. Keren, Generalized beam parameters and transformation laws for partially coherent light, Appl. Opt. 27, 3696, 1988

    Article  ADS  Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer Science+Business Media, Inc.

About this chapter

Cite this chapter

(2005). Wave Optics. In: Laser Resonators and Beam Propagation. Springer Series in Optical Sciences, vol 108. Springer, New York, NY. https://doi.org/10.1007/0-387-25110-3_3

Download citation

Publish with us

Policies and ethics

Search

Navigation