基于等效层法分析对称性倍频分束镜的半波孔

半波孔问题严重影响了倍频分束镜在高功率激光系统中的应用。为研究半波孔的产生机理,分别模拟了由高、低折射率膜层厚度失配和膜料色散失配引起的1/4波长对称规整膜系的半波孔。基于等效层理论,在Matlab平台上计算膜系的等效折射率E,绘出其对应的反射率极值包络曲线。通过研究对称膜系的等效折射率、反射率光谱和反射率包络之间的关系,从原理上分析了半波孔的大小、位置和变化趋势等特点。结果表明,膜层的厚度失配使对称膜系的等效折射率在光谱半波处产生截止带。膜层数越多,膜层厚度和膜料色散的失配越严重,则倍频分束镜的半波孔越深。     

Measurement of nonlinear properties and optical limiting ability of Rhodamine6G doped silica and polymeric samples

The third order nonlinear optical properties of Rhodamine6G (Rh6G) doped silica and polymeric samples have been investigated using single beam z-scan technique under excitation by the second harmonic of Nd:YAG laser beam (532 nm). The nonlinear refractive index, nonlinear absorption coefficient, real and imaginary parts of third order nonlinear susceptibility in the samples of silica and poly-methylmethacrylate (PMMA) matrices are measured. Thermal contribution to the nonlinear refractive index in case of undoped silica samples has been calculated in order to have better accuracy of the material response contribution to third order nonlinearity. The comparative study of the optical limiting performance of Rh6G doped silica and polymeric samples show that Rh6G doped silica is relatively superior for optical limiting applications.     

On the third harmonic generation in a medium with negative pump wave refraction

The propagation of the pump and its third harmonic pulses in a cubically nonlinear medium is considered theoretically, provided that the linear properties of the medium are characterized by a negative refractive index at the pump frequency and a positive refractive index at the harmonic frequency. For low-intensity interacting waves, the pump and third harmonic pulses propagate in opposite directions, but sufficiently intense pulses can produce a simulton—a solitary two-frequency wave that propagates in a certain direction as a single whole. The system of equations is investigated numerically for a model that, apart from the harmonic generation, includes the second-order group velocity dispersion and the nonlinear self- and cross-phase modulations of the interacting waves. The separation of the pump and harmonic pulses due to the difference in the directions of their group velocities and peculiarities of the Manley-Rowe relation for parametric processes in metamedia are discussed.     

Efficient self phase matched third harmonic generation of ultrashort pulses in a material with positive dispersion

An ultrafast transient refractive index grating, produced in barium fluoride, a material with positive dispersion, promotes very efficient third harmonic generation. The significant enhancement of the generation up to a conversion efficiency of about 3% is due to self phase matching, involving the instantaneous grating. At the same time several diffraction orders of the third harmonic signal are observed behind the sample. Received: 17 October 2000 / Published online: 21 February 2001     

Third harmonic generation in the field of a backward pump wave

Third harmonic generation in a nonlinear medium the refractive index of which is negative at the pump frequency and positive at the harmonic frequency with allowance for self-action effects is considered theoretically. An exact solution of equations that describe the parametric interaction of continuous waves has been obtained analytically. The behavior of the solution is analyzed depending on the degree of violation of the phase matching condition. It is shown that, in a definite domain of values of nonlinear susceptibilities of the third order, there exists a critical value of the phase detuning at which the monotonic transform of the pump into the harmonic is changed by a periodical one. This phenomenon does not occur when the third harmonic is generated in ordinary media with a positive refractive index.     

Spatial distribution of the interacting Waves’ amplitudes under third harmonic generation in a negative-positive refractive medium

The process of third harmonic generation in a cubically nonlinear medium that is negatively refractive at the fundamental frequency and positively refractive at the third harmonic frequency is considered. For the stationary case, the amplitude distribution was obtained for waves interacting inside a sample for different values of phase mismatch. In the periodic regime of generation, it is shown that the amplitude of the fundamental wave inside the medium can exceed its value at the input, which is impossible in the standard case of harmonic generation in a medium positively refractive at both frequencies. The influence of energy losses in the sample on the spatial distribution of waves’ amplitudes of both frequencies has been studied.     

Efficiency of fluorescence excitation in chlorophyll <Emphasis Type="Italic">a</Emphasis> by the second and third harmonics of emission from an Nd:YAG laser

We have studied the efficiency of fluorescence excitation in chlorophyll a by the second harmonic (532 nm) and the third harmonic (355 nm) of an Nd:YAG laser for sea water samples with phytoplankton taken during different algal blooms and for extracts of higher plants diluted with sea water. We have shown that when using the second harmonic, the efficiency of fluorescence excitation in chlorophyll a is more than twice as high as for excitation by the third harmonic. We discuss the advisability of using the second or third harmonics of the emission from an Nd:YAG laser when studying the biooptical parameters of sea water. __________ Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 75, No. 2, pp. 224–227, March–April, 2008.     

Modulation instability of pulsed radiation in an optical waveguide in the presence of the traveling refractive index wave

The conditions for the onset of modulation instability of wave packets in an optical waveguide in the presence of the traveling refractive index wave are investigated. An expression governing the growth rate of a small harmonic perturbation at the early development stage of the modulation instability is obtained. Based on numerical analysis, the behavior of the wave packet at the developed modulation instability stage is studied for different parameters of the waveguide and the refractive index wave.     

X-ray topographic study of quartz cavities with a triple electrode

AT-cut quartz cavities with a triple electrode have been studied. Their main advantage over cavities with an orthogonally directed electric field is that the triple electrode hinders excitation of vibrations on the first mechanical harmonic. A comparison of the parameters of different cavities shows that, in the case of their excitation on the first harmonic, the equivalent resistance of triple-electrode cavities is higher by a factor of 24, their equivalent inductance is higher by a factor of 3, and their Q factor is lower by a factor of 12 compared to the corresponding parameters of conventional cavities. When working on the third harmonic, the parameters of triple-electrode cavity are comparable with those of cavities with an orthogonally directed electric field. An X-ray topographic study of the vibrations of piezoelectric cells in triple-electrode cavities showed a pronounced vibration antinode on the third harmonic, located at the plate center, whereas the corresponding first-harmonic antinode is distorted and diffuse. The values of the Q factor of element vibrations on these harmonics differ by a factor of almost 8. Thus, the use of a triple electrode provides optimal conditions for cavity operation on the third harmonic. There is no need to use any other tools (e.g., introduce an additional resistor) to suppress the first harmonic.     

Surface stress measurement by the optical waveguide effect in thermally-tempered float glass

Float glasses have tin-diffused layers on one side. These layers show an optical waveguide effect caused by refractive index gradients in the layer. Surface stress, caused by tempering, gives different refractive index distribution for TM and TE waves via the stress birefringence effect. Non-destructive and rapid stress determination is possible by observing the effective index distributions of propagating modes in TM and TE waves.     

Properties of Gaussian waveguide modes of an optical cavity with a metamaterial

A theory of excitation of waveguide modes in an open two-mirror cavity containing layers with positive and negative refractive indices is proposed. Relations between the mirror curvatures and the thicknesses and refractive indexes of the layers at which the main mode has the Gaussian beam structure are derived. The stability of such cavities is analyzed.     

倍频波长分离膜半波孔的消除

指出了膜料色散、膜层折射率非均匀性以及膜厚控制误差积累等是导致半波孔产生的几个因素,其中膜层厚度周期性误差积累和敏感层厚度误差是导致半波孔的主要因素,还指出了半波孔的大小与膜系结构有关.借助计算机做了相应的数值计算,并从理论上进行了深入分析.针对这些因素采取相应的措施,设计和制备了倍频波长分离膜,有效地消除了半波孔.并给出了理论和实验光谱曲线,二者有很好的一致性.     

X‐ray harmonics rejection on third‐generation synchrotron sources using compound refractive lenses

A new method of harmonics rejection based on X‐ray refractive optics has been proposed. Taking into account the fact that the focal distance of the refractive lens is energy‐dependent, the use of an off‐axis illumination of the lens immediately leads to spatial separation of the energy spectrum by focusing the fundamental harmonic at the focal point and suppressing the unfocused high‐energy radiation with a screen absorber or slit. The experiment was performed at the ESRF ID06 beamline in the in‐line geometry using an X‐ray transfocator with compound refractive lenses. Using this technique the presence of the third harmonic has been reduced to 10^?3. In total, our method enabled suppression of all higher‐order harmonics to five orders of magnitude using monochromator detuning. The method is well suited to third‐generation synchrotron radiation sources and is very promising for the future ultimate storage rings.     

Effect of exciton condensation on the optical refraction index of CdS

Detailed measurements of the transmission spectrum of CdS under high pumping excitation were performed. A variation of the refractive index with increasing excitation power is observed. This we attribute to the increase in the number of photoinjected carriers. A saturation of the effect is observed for intensities above a certain level. A simple model is used to evaluate the concentration of photoinjected carriers the saturated regime which turns out to be approximately 1.4 x 10¹⁸ cm^-3. It is shown that the results are compatible with the assumption of formation of an electron- hole liquid (EHL) in CdS.     

Phase-matched third-harmonic generation in dye solutions

Various dyes are investigated for their capability of generating 3^rd harmonic of Nd-laser light. The feasibility of achieving phase matching is demonstrated by direct measurements of the index of refraction. Third-harmonic conversion of hexamethylindocarbocyanine iodide, diethyloxacarbocyanine iodide and fuchsin red are compared. The highest conversion is obtained for hexamethylindocarbocyanine iodide (80 times higher than in fuchsin red). A further enhancement of the third harmonic by a factor of 70 is expected for the fundamental laser light at 1.15 μm.     

Rugate filter with multi-channel grown by glancing angle deposition

Glancing angle deposition (GLAD) is an effective technique to fabricate thin films with desired nanoscale porosity variations in three dimensions. GLAD can be used to grow rugate filters characterized by a sinusoidal refractive index profile from one single source material through control of film porosity. A multi-stopband rugate filter can be achieved either by introducing a layer of constant index into the center of sinusoidal refractive index profile or by embedding discrete layers of constant refractive index to sinusoidal index profile with the GLAD technique. Transmittance measurements of the one channel filter, formed with titanium dioxide, revealed this method is one of the most valid technologies to fabricate multi-band filters.     

Über ein graphisches Verfahren zur polarisationsoptischen Bestimmung von Dicke und Brechungsindex beliebig dicker,nichtabsorbierender, homogener Schichten auf Glas

Va?i?ek's universal method for determining the optical constants of nonabsorbing, homogeneous layers of any thickness on glass has been limited to the special case of ligth incidence under the polarizing angle of the glass carrier. This enables one to base the measurements on a reference glass carrier of well known refractive index, and simplifies the relationship of the variables. After calculating all parameters and computing some normalizing curves for this particular reference carrier, it is possible, to evaluate graphically all polarimetric measurements for any kind of glass carrier or wavelength and for all data of the layers as thickness or refractive index. The feasibility of the normalizing process has been proved.     

Exact analytical representations for broadband transmission properties of quarter-wave multilayers

The formalism of the scattering matrix is applied to describe the transmission properties of multilayered structures with deep variations of the refractive index and arbitrary arrangements of the layers. We show that there is an exact analytical formula for the transmission spectrum, which is valid for the full spectral range and which contains only a limited number of parameters for structures satisfying the quarter-wave condition. These parameters are related to the poles of the scattering matrix, and we present an efficient algorithm to find them, which is based on considering the ray propagation inside the structure and subsequent application of the harmonic inversion technique. These results are significant for analyzing the reshaping of ultrashort pulses in multilayered structures.     

Effect of concentration and particle size on nonlinearity of Au nano-fluid prepared by γ (Co) radiation

Nonlinear properties of Au nano-fluid prepared by γ-radiation method at different concentrations were investigated. Measurements of nonlinear refractive index and nonlinear absorption coefficient were carried out using a single beam Z-scan technique. A green CW laser beam operated at 532 nm was used as excitation source. The Au nano-fluid shows a good third order nonlinear response. The sign of the nonlinear refractive index is found to be negative and the magnitude is in the order of 10⁻⁷ cm²/W. This nonlinear effect increases as the concentration increases from 3.119 × 10⁻⁴ to 2.354 × 10⁻³ M which correspond to particle sizes of 4.0-30.5 nm, respectively. A good linear relationship was obtained between nonlinear refractive index and concentration. However the relationship between nonlinear refractive index and particle size was nonlinear behavior.     

Fluorometric Characteristics of a Wave‐Guide Cell with Low Refractive Index

Recently, Teflon AF2400 (AF 1600, and AF 1601) was commercialized (DuPont Fluoroproducts, Wilmington, DE, U.S.A), that has a refractive index (1.29) lower than water (1.33), and which means that the wave‐guiding of light is possible in water. In this study, we used Teflon AF 2400 as a waveguide capillary longpath cell for fluorometry. He‐Cd and Ar⁺ lasers were used as the excitation source, at 325 nm and 514.5 nm respectively. The length of the capillary wave‐guide cell was 18.70 cm. The was wound twice on a flat surface (loop diameters: 2 cm and 3 cm). The excitation was executed through the wave‐guide cell and the fluorescence from the wound capillary cell wall was collected in a perpendicular direction to the loop. With excitation at 325 nm, the fluorescence intensity at 450 nm emitted from the cell wall decreased along with the increase in the refractive index of the solvent. This can be caused by attenuation of the source light due to absorption by the solvent. In our experiment, the solvent of higher refractive index has the higher absorption at 325 nm. On the other hand, the fluorescence intensity at 590 nm, with excitation at 514.5 nm, increases with increased refractive index of the solvent. This result shows that an increase in the refractive index of the solvent is preferable for maintaining the wave‐guiding of the source light. Here, the characteristics of fluorescence spectrometry are discussed in terms of the collection of fluorescence from the wave‐guide capillary cell wall.