Characterization of saturable absorbers using an open-aperture Gaussian-beam<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Z</mml:mi></mml:math>scan

Gu, Bing; Fan, Ya-Xian; Wang, Jin; Chen, Jing; Ding, Jianping; Wang, Hui-Tian; Guo, Bin

doi:10.1103/physreva.73.065803

Cited by 63 publications

(52 citation statements)

References 14 publications

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“…The results for SA of the inhomogeneously broadened type are qualitatively similar and therefore they are not shown here. and Δφ (5) 0 , are defined as kn 2 LI 0 (0) and kn 4 LI 2 0 (0), respectively. It can be seen that because of SA and a relatively large phase shift of Δφ (3) 0 , the peak-to-valley configuration is not symmetric with respect to z = 0.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…(15) and (16)] are evaluated at r = 0. Since |Δφ (3) | |Δφ (5) | in practice, the quadratic-and higher-order terms of Δψ (5) in the expansion of Eq. (18) may be neglected.…”

Section: +I/ismentioning

confidence: 99%

“…Later, the original theory was extended to the open-aperture Z-scan theories for nonlinear optical materials possessing multiphoton absorption, 3 simultaneous TPA and three-photon absorption 4 and SA. 5 In addition, closed-aperture Z-scan analyses for nonlinear optical materials having simultaneous third-and fifth-order nonlinear refraction with TPA 6-10 were reported previously. Such generalization is useful for more accurate characterization of various types of nonlinear optical materials.…”

Section: Introductionmentioning

confidence: 98%

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Gaussian beam Z-scan analysis for nonlinear optical materials possessing simultaneous third- and fifth-order nonlinear refraction with saturable absorption: an application to semiconductor CdSe quantum dot-polymer nanocomposites

2012

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We present a theoretical analysis of the closed-aperture Gaussian beam Z-scan for nonlinear optical materials with both saturable absorption and simultaneous third-and fifth-order nonlinear refraction. We formulate a theoretical expression for the Z-scan transmittance by means of the Adomian's decomposition method and the thin film approximation. It is applied to the experimental characterization of the nonlinear optical properties of a semiconductor CdSe quantum dot-polymer nanocomposite film. We show that measured results of the open-and closed-aperture Z-scan transmittances of the nanocomposite film are well explained by the theoretical model.

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Section: Numerical Resultsmentioning

confidence: 99%

“…(15) and (16)] are evaluated at r = 0. Since |Δφ (3) | |Δφ (5) | in practice, the quadratic-and higher-order terms of Δψ (5) in the expansion of Eq. (18) may be neglected.…”

Section: +I/ismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

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Gaussian beam Z-scan analysis for nonlinear optical materials possessing simultaneous third- and fifth-order nonlinear refraction with saturable absorption: an application to semiconductor CdSe quantum dot-polymer nanocomposites

2012

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“…First, for SA, by using the similar main principle Gu et al [20] , the computational difficulty is reduced by utilizing the improved Adomian operator. The first seven terms of normalized transmittance polynomial are identified, which are sufficient for characterizing the complicated nonlinear absorption process.…”

mentioning

confidence: 99%

“…4(b)). Using the polynomial method [20] (Eq. (16)), we can strive to make the optimal 2PA curve, 3PA curve, and 4PA curve fit the experimental data.…”

mentioning

confidence: 99%

Modeling and identif ication on nonlinear saturable and reverse-saturable absorptions of gold nanorods using femtosecond Z-scan technique

Wang¹,

Wang²,

Han³

et al. 2012

Chin. Opt. Lett.

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An improved Z-scan analysis approach is proposed by establishing and solving the saturable absorption (SA) and reverse-SA (RSA) models, respectively. Near-infrared femtosecond Z-scans are carried out on the synthesized gold nanorods (NRs) possessing the average length of 46 nm using a femtosecond laser operated at the wavelength of 800 nm, which is close to the peak position of longitudinal surface plasmon resonance (SPR) (710 nm) of gold NRs. At lower input intensity of less than 400 GW/cm 2 , the normalized transmission exhibits only SA phenomenon; however, when it exceeds 400 GW/cm 2 , both SA and RSA are observed. By using the presented Z-scan modeling and theory, the three-photon absorption (3PA) is identified in the material, and the 3PA cross-section is determined to be 1. Generally speaking, nonlinear absorption, which includes saturable absorption (SA), reverse-SA (RSA), multiphoton absorption (MPA), and free carrier absorption (FCA), possesses various applications [1−3] . For example, SA materials are applied extensively in laser pulse compression [4] , and optical bistability, among others, whereas RSA, 2PA, and MPA materials are applied in two-photon fluorescence microscopy and imaging [5−7] , 3D optical storage, microfabrication [8−10] , up-conversion lasing [11−13] , and optical limiting [14] . Therefore, identifying different nonlinear absorption processes is important, especially for the acquisition of corresponding nonlinear absorption parameters, such as the saturable intensity for saturable absorber, 2PA cross-section for 2PA material, and MPA coefficient for MPA material.The Z-scan technique, which was first proposed by Sheik-Bahae et al. [15] , was widely used for characterizing the optical nonlinearities of a sample with simple apparatus, as well as relatively high sensitivity. In Ref.[15], 2PA was analyzed as an example, where the normalized energy transmittance was expressed as a summation of numerical evaluations, thereby obtaining the 2PA coefficient . With the research of diverse materials, other nonlinear and simultaneously appearing absorption processes have been observed from open aperture (OA) Z-scan traces [16−19] . Therefore, distinguishing the nonlinear absorption effects and acquiring the related nonlinear parameters for the materials possessing more than one nonlinear absorption effect are important.Consequently, in this letter, we establish an improved Z-scan technique model for charactering a nonlinear, optical, and thin absorber with SA, RSA (including 2PA, 3PA, and other MPA), or both processes. We divide the absorption term into two parts, SA and RSA, and the solution of each phenomenon is derived individually.First, for SA, by using the similar main principle Gu et al. [20] , the computational difficulty is reduced by utilizing the improved Adomian operator. The first seven terms of normalized transmittance polynomial are identified, which are sufficient for characterizing the complicated nonlinear absorption process. After acquiring the saturable intensity from the...

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Nonlinear Optical Properties and Temperature‐Dependent UV–Vis Absorption and Photoluminescence Emission in 2D Hexagonal Boron Nitride Nanosheets

Kumbhakar

Kole

Tiwary

et al. 2015

Advanced Optical Materials

133

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Recently, a lot of interest has been centred on the optical properties of hexagonal boron nitride (h‐BN), which has a similar lattice structure to graphene. Interestingly, h‐BN has a wide bandgap and is biocompatible, so it has potential applications in multiphoton bioimaging, if it can exhibit large nonlinear optical (NLO) properties. However, extensive investigation into the NLO properties of h‐BN have not been done so far. Here, NLO properties of 2D h‐BN nanosheets (BNNS) are reported for the first time, using 1064‐nm NIR laser radiation with a pulse duration of 10 ns using the Z‐scan technique. The reverse saturable absorption occurs in aqueous colloidal solutions of BNNS with a very large two‐photon absorption cross section (σ 2PA) of ≈57 × 10−46 cm4 s−1 photon−1. Also, by using UV–Vis absorption spectroscopy, the temperature coefficient of the bandgap (dE g/dT) of BNNS is determined to be 5.9 meV K−1. Further defect‐induced photoluminescence emission in the UV region is obtained in the 283–303 K temperature range, under excitations of different wavelengths. The present report of large σ 2PA combined with stability and biocompatibility could open up new possibilities for the application of BNNS as a potential optical material for multiphoton bioimaging and advanced photonic devices.

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Characterization of saturable absorbers using an open-aperture Gaussian-beamZscan

Cited by 63 publications

References 14 publications

Gaussian beam Z-scan analysis for nonlinear optical materials possessing simultaneous third- and fifth-order nonlinear refraction with saturable absorption: an application to semiconductor CdSe quantum dot-polymer nanocomposites

Gaussian beam Z-scan analysis for nonlinear optical materials possessing simultaneous third- and fifth-order nonlinear refraction with saturable absorption: an application to semiconductor CdSe quantum dot-polymer nanocomposites

Modeling and identif ication on nonlinear saturable and reverse-saturable absorptions of gold nanorods using femtosecond Z-scan technique

Nonlinear Optical Properties and Temperature‐Dependent UV–Vis Absorption and Photoluminescence Emission in 2D Hexagonal Boron Nitride Nanosheets

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