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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 15, Iss. 5 — May. 1, 1998
  • pp: 1436–1449

Influence of the Kerr-medium type on the wave’s reflection states at a nonlinear interface for different angles of incidence

Barbara Rubinowicz and Tomasz Wójcik  »View Author Affiliations

JOSA A, Vol. 15, Issue 5, pp. 1436-1449 (1998)

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An analysis of a monochromatic plane wave’s reflection at a nonlinear interface is presented that constitutes a generalization and an extension of previous studies on this subject. We examine the influence of self-focusing and self-defocusing Kerr media on total and partial reflection states. We consider the whole range of angles of incidence and four types of media interfaces. In our model we do not apply the slowly varying amplitude approximation, and we give analytical real positive nonoscillating solutions to the nonlinear differential wave equations in total and partial reflection cases. For each case we also derive relations between the amplitude reflectance and input intensity, which indicate that in some situations the wave’s behavior at a nonlinear interface is governed by the nonlinear critical and the nonlinear characteristic angles. It is pointed out that the reflection states change bistably. We show, for different angles of incidence, the ranges in which the effective permittivity of nonlinear media can be changed via the incident intensity.

© 1998 Optical Society of America

OCIS Codes
(120.5700) Instrumentation, measurement, and metrology : Reflection
(190.1450) Nonlinear optics : Bistability
(240.4350) Optics at surfaces : Nonlinear optics at surfaces

Original Manuscript: August 5, 1997
Manuscript Accepted: January 22, 1998
Published: May 1, 1998

Barbara Rubinowicz and Tomasz Wójcik, "Influence of the Kerr-medium type on the wave’s reflection states at a nonlinear interface for different angles of incidence," J. Opt. Soc. Am. A 15, 1436-1449 (1998)

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  1. A. E. Kaplan, “Hysteresis reflection and refraction of light by a nonlinear boundary—new class of effects in nonlinear optics,” JETP Lett. 24, 114–119 (1976).
  2. A. E. Kaplan, “Theory of hysteresis reflection and refraction of light by a nonlinear medium,” Sov. Phys. JETP 45, 896–905 (1977).
  3. B. B. Bojko, N. S. Pietrow, “Odrażenie swieta od usiliwajuszczych i nieliniejnych sred,” Nauka Teck. (1988).
  4. D. Marcuse, “Reflection of a Gaussian beam from a nonlinear interface,” Appl. Opt. 19, 3130–3139 (1980). [CrossRef] [PubMed]
  5. P. W. Smith, W. J. Tomlinson, “Nonlinear optical interfaces: switching behavior,” IEEE J. Quantum Electron. QE-20, 30–36 (1984). [CrossRef]
  6. R. Boyd, Nonlinear Optics (Academic, New York, 1992).
  7. Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984).
  8. B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991).

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