Resonant approximation of phase-shifted Bragg grating (PSBG) spectra
L.L. Doskolovich, N.V. Golovastikov, D.A. Bykov, S.I. Kharitonov

 

Image Processing Systems Institute, Russian Academy of Sciences,

Samara State Aerospace University

Full text of article: Russian language.

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Abstract:
The resonance approximations of phase-shifted Bragg grating (PSBG) reflection and transmission coefficients are obtained as a function of frequency and wave-vector’s tangential components of incident light. The proposed theoretical description is verified using numerical simulations.

Keywords:
fiber Bragg gratings, frequency filtering, spatial filtering.

Citation:
Doskolovich LL, Golovastikov NV, Bykov DA, Kharitonov SI. Resonant approximation of phase-shifted Bragg grating (PSBG) spectra. Computer Optics 2015; 39(3): 311-8. DOI: 10.18287/0134-2452-2015-39-3-311–318.

References:

  1. Kulishov M, Azaña J. Design of high-order all-optical temporal differentiators based on multiple-phase-shifted fiber Bragg gratings. Optics Express 2007; 15(10): 6152–66.
  2. Berger NK, Levit B, Fischer B, Kulishov M, Plant DV, Azaña J. Temporal differentiation of optical signals using a phase-shifted fiber Bragg grating. Optics Express 2007; 15(2): 371–81.
  3. Ngo N. Design of a high-speed optical dark-soliton detector using a phase-shifted waveguide Bragg grating in reflection. Optics Letters 2007; 32(23): 3402-04.
  4. Li M, Li H, Painchaud Y. Multi-channel notch filter based on a phase-shifted phase-only-sampled fiber Bragg grating. Optics Express 2008; 16(23): 19388-94.
  5. Bykov DA, Doskolovich LL, Bezus EA, Soifer VA. Optical computation of the Laplace operator using phase-shifted Bragg grating. Optics Express 2014; 22(21): 25084–92.
  6. Doskolovich LL, Bykov DA, Bezus EA, Soifer VA. Spatial differentiation of optical beams using phase-shifted Bragg grating. Optics Letters 2014; 39(5): 1278–1281.
  7. Golovastikov NV, Bykov DA, Doskolovich LL, Bezus EA. Spatial optical integrator based on phase-shifted Bragg gratings. Optics Communications 2015; 338: 457–60.
  8. Kazanskiy NL, Serafimovich PG, Khonina SN. Use of photonic crystal cavities for temporal differentiation of optical signals. Optics Letters 2013; 38(7): 1149-51.
  9. Kazanskiy NL, Serafimovich PG. Coupled-resonator optical wave-guides for temporal integration of optical signals. Optics Express 2014; 22(11): 14004-13.
  10. Popov E, Mashev L, Maystre D. Theoretical study of the anomalies of coated dielectric gratings. Optica Acta 1986; 33(5): 607–19.
  11. Bykov DA, Doskolovich LL, Soifer VA. Single-resonance diffraction gratings for time-domain pulse transformations: integration of optical signals. J. Opt. Soc. Am. A. 2012; 29(8): 1734-40.
  12. Neviere M, Popov E, Reinisch R. Electromagnetic resonances in linear and nonlinear optics: phenomenological study of grating behavior through the poles and zeros of the scattering operator. Journal of the Optical Society of America A 1995; 12(3): 513-23.
  13. Shestopalov YuV, Kirilenko AA, Masalov SA, Sirenko YuK. Resonant wave scattering: in 2 volumes. Diffraction gratings [In Russian]. Kiev: “Naukova Dumka” Publisher; 1986: 1; 223p.
  14. Golovastikov NV, Bykov DA, Doskolovich LL. Resonant diffraction gratings for spatial differentiation of optical beams. Quantum Electronics 2014; 44(10): 984–8.
  15. Suh W, Fan S. All-pass transmission or flattop reflection filters using a single photonic crystal slab. Applied Physics Letters 2004; 84(24): 4905–7.
  16. Moharam MG, Gaylord TK, Pommet DA, Grann EB. Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: enhanced transmittance matrix approach. Journal of the Optical Society of America A 1995; 12(5): 1077-86.
  17. Li L. Use of Fourier series in the analysis of discontinuous periodic structures. Journal of the Optical Society of America A 1996; 13(9): 1870-76.
  18. Bykov DA, Doskolovich LL. Numerical methods for calculating poles of the scattering matrix with applications in grating theory. Journal of Lightwave Technology 2013; 31(5): 793-801.
  19. Bykov DA, Doskolovich LL, Golovastikov NV, Soi­fer VA. Time-domain differentiation of optical pulses in reflection and in transmission using the same resonant grating. Journal of Optics 2013; 5: 105703.
  20. Gippius NA, Tikhodeev SG, Ishihara T. Optical properties of photonic crystal slabs with an asymmetrical unit cell. Phys. Rev. B 2005; 72: 045138.
  21. Bykov DA, Doskolovich LL, Soifer VA, Kazanskiy NL. Extraordinary magneto-optical effect of a change in the phase of diffraction orders in dielectric diffraction gratings. Journal of Experimental and Theoretical Physics 2010; 111(6): 967–74.
  22. Kirilenko AA, Tysik BG. Connection of S-matrix of wave-guide and periodical structures with complex frequency spectrum. Electromagnetics 1993; 13(3): 301–18.

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