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Pulse propagation in photonic crystals and nonlinear media
KTH, School of Biotechnology (BIO), Theoretical Chemistry (closed 20110512).ORCID iD: 0000-0003-1269-8760
2005 (English)Licentiate thesis, comprehensive summary (Other scientific)
Abstract [en]

The present thesis is devoted to theoretical studies of light pulse propagation through different linear and nonlinear media. One dimensional holographic photonic crystals and one dimensional impurity band based photonic crystals are investigated as linear media. The effects of angular dependence of the band structures and pulse delay with respect to the light polarization are analyzed. A strict theory of nonlinear propagation of a few strong interacting light beams is presented and applied in the field of nonlinear optics. The key idea of this approach is a self-consistent solution of the nonlinear wave equation and the density matrix equations of the material beyond the so-called rotating wave approximation. The results of numerical studies led to a successful interpretation of recent experimental data [Nature, 415:767, 2002]. A theoretical study of the NO molecule by means of two-color infrared -- X-ray pump probe spectroscopy is presented. It was found that the phase of the infrared field strongly influences the trajectory of the nuclear wave packet, and hence, the X-ray spectrum. The dependence of the X-ray spectra on the delay time, the duration and the shape of the pulses are studied.

Place, publisher, year, edition, pages
Stockholm: KTH , 2005. , iii, 32 p.
Keyword [en]
Theoretical chemistry
Keyword [sv]
Teoretisk kemi
National Category
Theoretical Chemistry
Identifiers
URN: urn:nbn:se:kth:diva-351ISBN: 91-7178-023-8 (print)OAI: oai:DiVA.org:kth-351DiVA: diva2:9323
Presentation
2005-05-24, Sal FB42, AlbaNova, Roslagstullssbacken 21, Stockholm, 10:00
Supervisors
Note
QC 20101207Available from: 2005-08-01 Created: 2005-08-01 Last updated: 2011-11-23Bibliographically approved
List of papers
1. Angular properties of band structures in one-dimensional holographic photonic crystals
Open this publication in new window or tab >>Angular properties of band structures in one-dimensional holographic photonic crystals
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2004 (English)In: Journal of Optics. A, Pure and applied optics, ISSN 1464-4258, E-ISSN 1741-3567, Vol. 6, no 10, 991-996 p.Article in journal (Refereed) Published
Abstract [en]

One-dimensional photonic crystals with continuous distribution of the dielectric constant were fabricated by the use of photopolymer materials and laser holography. The angular dependence of light propagation through the system was studied experimentally and theoretically. It is shown that the Brewster angles for different bands are different, in contrast to the conventional two-layer Bragg reflector with a step-like distribution of the dielectric constant. Comparison of the theory with experimental data allowed us to define the parameters of the hologram-the dielectric contrast and the shrinkage of the structure.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2004
Keyword
photonic crystal, holographic lithography, photonic band gap, materials
National Category
Other Physics Topics
Identifiers
urn:nbn:se:kth:diva-5483 (URN)10.1088/1464-4258/6/10/009 (DOI)000224970900010 ()2-s2.0-6344237670 (Scopus ID)
Note

QC 20100830 QC 20110922

Available from: 2006-03-15 Created: 2006-03-15 Last updated: 2017-11-21Bibliographically approved
2. Angular anisotropy of the delay time of short pulses in impurity band based photonic crystals
Open this publication in new window or tab >>Angular anisotropy of the delay time of short pulses in impurity band based photonic crystals
2005 (English)In: Journal of Optics. A, Pure and applied optics, ISSN 1464-4258, E-ISSN 1741-3567, Vol. 7, no 3, 118-122 p.Article in journal (Refereed) Published
Abstract [en]

We investigate the transmission of short pulses through one-dimensional impurity band based photonic crystals. We found a strong dependence of the delay time on the angle of incidence. The delay time is larger for larger incident angles for the transverse electrical mode, while the delay time of the transverse magnetic mode has a qualitatively different angular dependence, especially in the region below the Brewster angle. The strong anisotropy of the delay time is traced to the anisotropy of the group velocity which is directly related to the angular dependence of the impurity band structure.

Keyword
photonic crystal, impurity band, optical delay lines
National Category
Other Physics Topics
Identifiers
urn:nbn:se:kth:diva-5484 (URN)10.1088/1464-4258/7/3/004 (DOI)000228114600004 ()2-s2.0-14844322820 (Scopus ID)
Note
QC 20100830Available from: 2006-03-15 Created: 2006-03-15 Last updated: 2017-11-21Bibliographically approved
3. Nonlinear propagation of strong multi-mode fields
Open this publication in new window or tab >>Nonlinear propagation of strong multi-mode fields
2003 (English)In: Journal of Physics B: Atomic, Molecular and Optical Physics, ISSN 0953-4075, E-ISSN 1361-6455, Vol. 36, 3761-3774 p.Article in journal (Refereed) Published
Abstract [en]

We develop a strict theory of nonlinear propagation of few interacting stronglight beams. The key idea of our approach is a self-consistent solution ofthe nonlinear wave equation and the density matrix equations of the materialbeyond the rotatory wave approximation. We assume a Fourier expansion ofthe density matrixwhich goes beyond the conventionalTaylor expansions of thepolarization over the field amplitudeswhich is inadequate for the field strengthsthat we are interested in. Two qualitatively different situations are considered,with and without phase matching. Unlike in our previous paper (Baev et al2003 J. Opt. Soc. Am. B at press) devoted to the three-photon (TP) absorptioninduced upconverted lasing, we obtain here a strict solution for the nonlinearinteraction between different light beams. The general theory is applied to anumerical study of the role of saturation in TP photoabsorption by an organicchromophore in solution.

Keyword
2-photon excitation, absorption, dynamics, memory, pulses, media
National Category
Theoretical Chemistry
Identifiers
urn:nbn:se:kth:diva-5485 (URN)10.1088/0953-4075/36/18/305 (DOI)000185966200006 ()
Note
QC 20100906Available from: 2006-03-15 Created: 2006-03-15 Last updated: 2017-11-21Bibliographically approved
4. Bi-directional description of amplified spontaneous emission induced by three-photon absorption
Open this publication in new window or tab >>Bi-directional description of amplified spontaneous emission induced by three-photon absorption
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2005 (English)In: Journal of the Optical Society of America. B, Optical physics, ISSN 0740-3224, E-ISSN 1520-8540, Vol. 22, no 2, 385-393 p.Article in journal (Refereed) Published
Abstract [en]

 A semiclassical dynamic theory of the nonlinear propagation of a few interacting intense light pulses is applied to study the nonlinear counterpropagation of amplified spontaneous emission (ASE) induced by three-photon absorption of short intense laser pulses in a chromophore solution. Several important results from the modeling are reached for the ASE process developing in the regime of strong saturation. Accounting for ASE in both forward and backward directions with respect to the pump pulse results in a smaller efficiency of nonlinear conversion for the forward ASE compared with the case in which forward emission is considered alone, something that results from the partial repump of the absorbed energy to the backward ASE component; the overall efficiency is nevertheless higher than for the forward emission considered alone. The efficiency of nonlinear conversion of the pump energy to the counterpropagating ASE pulses is strongly dependent on the concentration of active molecules so that a particular combination of concentration versus cell length optimizes the conversion coefficient. Under certain specified conditions, the ASE effect is found to be oscillatory; the origin of oscillations is dynamical competition between stimulated emission and off-resonant absorption. This result can be considered one of the possible explanations of the temporal fluctuations of the forward ASE pulse [Nature 415, 767 (2002)].

Keyword
Laser pulses, Light absorption, Light propagation, Mathematical models, Maxwell equations, Optical frequency conversion, Optical materials, Optical pumping, Oscillations, Photons, Spontaneous emission, Wave equations
National Category
Physical Sciences
Identifiers
urn:nbn:se:kth:diva-5486 (URN)10.1364/JOSAB.22.000385 (DOI)000226967800012 ()2-s2.0-15044350805 (Scopus ID)
Note
QC 20100901Available from: 2006-03-15 Created: 2006-03-15 Last updated: 2017-11-21Bibliographically approved
5. Infrared–x-ray pump-probe spectroscopy of the NO molecule
Open this publication in new window or tab >>Infrared–x-ray pump-probe spectroscopy of the NO molecule
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2005 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 72, no 1, 012714Article in journal (Refereed) Published
Abstract [en]

Two color infrared-x-ray pump-probe spectroscopy of the NO molecule is studied theoretically and numerically in order to obtain a deeper insight of the underlying physics and of the potential of this suggested technology. From the theoretical investigation a number of conclusions could be drawn: It is found that the phase of the infrared field strongly influences the trajectory of the nuclear wave packet, and hence, the x-ray spectrum. The trajectory experiences fast oscillations with the vibrational frequency with a modulation due to the anharmonicity of the potential. The dependences of the x-ray spectra on the delay time, the duration, and the shape of the pulses are studied in detail. It is shown that the x-ray spectrum keep memory about the infrared phase after the pump field left the system. This memory effect is sensitive to the time of switching-off the pump field and the Rabi frequency. The phase effect takes maximum value when the duration of the x-ray pulse is one-fourth of the infrared field period, and can be enhanced by a proper control of the duration and intensity of the pump pulse. The manifestation of the phase is different for oriented and disordered molecules and depends strongly on the intensity of the pump radiation.

Keyword
synchrotron-radiation, laser, pulses, simulation, generation, dynamics, spectra, phase
National Category
Theoretical Chemistry
Identifiers
urn:nbn:se:kth:diva-5650 (URN)10.1103/PhysRevA.72.012714 (DOI)000230887300094 ()2-s2.0-27144550517 (Scopus ID)
Note

QC 20100825

Available from: 2006-05-05 Created: 2006-05-05 Last updated: 2016-07-22Bibliographically approved

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