Investigation on parameters affecting the performance of two dimensional photonic crystal based bandpass filter

A two dimensional Photonic Crystal based Bandpass Filter is designed by exploiting coupling between the quasi waveguides and the circular Photonic Crystal Ring Resonator (PCRR). The output efficiency, resonant wavelength and bandwidth of PCBPF are investigated by varying the dielectric constant of the structure. The normalized transmission spectra of circular PCRR are taken using 2D Finite Difference Time Domain method. The Photonic Band Gap is calculated by Plane Wave Expansion method. Close to 100% (Band II) output efficiency is observed over the wavelength range from 1,504 to 1,521?nm and 85% (Band I) is obtained at 1,420?nm through simulation. The full width half maximum bandwidth of these bands is 35 and 20?nm, respectively. Further, the parameters that affect the resonant wavelength, output efficiency and bandwidth of the filter such as size of the reflector, radius of the coupling rods, lattice constant, rod radius and number of rods in the structure are analyzed. The overall size of the proposed filter is 11.4?μm ×?10.2?μm, which is smaller than the filters already reported in the literature and highly desirable for Photonic Integrated Circuits.     

一种基于多镜理论的光学薄膜群延迟算法

光子晶体超棱镜是实现分色、滤波等功能的关键器件,而群延迟是衡量分波滤波效果的重要参量。为了获得更好的分光效果,一般采用级联法布里珀罗滤波器或者Gires-Tournois滤波器实现大而线性的群延迟。基于多镜理论提出了一种新的多腔滤波器群延迟计算方法,简化了计算过程,使得计算不再受实际材料的限制。并以四腔级联Gires-Tournois滤波器为例进行群延迟的模拟计算,得到的结果与薄膜传输矩阵基本吻合,证实了算法的正确性。最后分析了群延迟、线性范围与Gires-Tournois滤波器腔长之间的关系,指出了如何根据实际要求选择腔长的方向。     

Spatial and spatial-frequency filtering using one-dimensional graded-index lattices with defects

The potential of one-dimensional, periodic, graded-index, isotropic dielectric lattices with defects in multiband spatial and spatial-frequency filtering is studied. It is shown that both narrow- and wide-bandpass filters can be obtained at a proper choice of the number, location, and parameters of the defects placed inside the relatively thin slabs. The peculiarities of achieving multibandness for narrow- and wide-bandpass filters are discussed. Multiband narrow-bandpass filtering is closely related to the transmission features that are associated with Fabry–Pérot resonators with semitransparent planar mirrors. Correspondingly, the observed transmission can be interpreted in terms of the equivalent parameters of such resonators. In particular, it is shown that the resonators filled with an ultralow-index medium can be mimicked, so that defect-mode angle-domain spectrum can be rarefied at large angles of incidence. The obtained results are also expected to be applicable for prediction of the angle-domain behavior of transmission in case of piecewise-homogeneous multilayers.     

Interference grating structures in photonic crystal circuits

Photonic Crystal Circuits have been widely investigated for various optoelectronics device applications. And the gratings in photonics devices are indispensable tool, which is very common for light manipulation. In this study, an interference grating structure formed by Gaussian beam interferences in photonic crystal waveguide such that having Kerr type nonlinearity is proposed and its transmission characteristics are investigated. Finite-Difference Time-Domain method is used to analyze the device characteristics. According to simulation results, the interference grating has shown special transmission characteristics that can bring tunability for photonic crystal devices. This can be an effective method for controlling optical signals in the photonic crystal for all optical switching/routing applications as a part of add/drop multiplexing.     

Long period gratings and rocking filters written with a CO2 laser in highly-birefringent boron-doped photonic crystal fibers for sensing applications

In this work, we demonstrate the possibility of fabricating short-length long-period gratings and rocking filters in highly birefringent Photonic Crystal Fiber using a CO₂ laser. In our experiments both kinds of gratings were made in the same Boron doped highly birefringent PCF using similar exposure parameters. We also present the sensing capabilities of both fabricated gratings to temperature, strain and hydrostatic pressure by interrogation of the wavelength shifts at different resonances.     

Velocity measurement for moving surfaces using spatial filtering method based on area image sensor

The idea of using spatial filtering method to measure velocity of vehicles for an inertial navigation system is put forward. Corresponding optical system, including a 532 nm solid-state laser as active illumination, is established. A 17.92 mm × 14.34 mm area charge coupled device (CCD) is employed both as detector and as spatial filter. The spatial filtering characteristics are theoretically analyzed using a power spectral density function. The spatial filtering operation of CCD is performed fully by software. Therefore, the parameters of the spatial filter, such as the size and the number of spatial period, are changeable. In addition, the CCD is arranged as two differential spatial filters without any other additional elements. Experiments are carried out to examine the feasibility of CCD as two differential spatial filters and the influence of the number of spatial period on the signal frequency. The results indicate that the more number of spatial period the more accurate measurements can be obtained, and show that the relation between signal frequency and velocity has good linearity. So this velocimeter is suitable to provide velocity information for a vehicle self-contained inertial navigation system.     

基于晶体旋光效应的近场光学空间滤波

 在激光传输与放大系统中，激光束的空间滤波是光束质量控制的重要环节。利用各向同性晶体的旋光性，采用偏振光检偏法选择不同空间频率光束的通过与阻挡，实现激光光束的近场空间滤波。用多个滤波器串接构成滤波器组，可提高光束空间窄带滤波性能。该方法有利于克服激光工程中采用4f滤波带来的空间滤波器体积庞大与抽空耗能的缺点。     

Experimental characterization of simultaneous spatial and spectral filtering by an optical resonant filter

Simultaneous spatial and spectral filtering by an optical resonant filter has been characterized experimentally to furnish additional insight into the operation and applications of optical resonant filters. Our experimental study can be useful for applications that depend on spatial filtering, spectral filtering, spatial-spectral filtering, and polarization selectivity. One significant application is the integration of an optical resonant filter with semiconductor lasers to control the spatial-spectral radiation for optimum performance.     

3D behaviour of Frieden filters in confocal imaging

The three-dimensional (3D) focal behaviour of the super-resolving Frieden filters is investigated numerically. It is shown that, as the central bright spot is sharpened, super-giant secondary maximums are formed on the optic axis. These lobes are much higher that the well-known side-lobes inherent to spatial filtering that surround the restricted, utilisable field, whose characteristics in the meridional plane are depicted for various values of the space-bandwidth parameter and for various numbers of terms that compose the window function. The two-terms filter is found to present, for the first time to my knowledge, some axial apodizing properties. To be compatible with practical realisation, the use of this class of filters in a single- and two-photon confocally scanned system is discussed in terms of 3D super-resolution with an intentionally limited light-power loss. It is shown that these filters match particularly well with recently designed axial apodizers for the transmission-mode confocal scanning microscope and provide a 3D intensity point-spread volume reduction of variable amount as high as 37 percent. The filtering process is shown to vary significantly with the mode of operation.     

Modeling and simulation of mid-IR amplifying characteristics of Tm3+-doped chalcogenide Photonic Crystal Fibers

This paper deals with the designing of a Tm³⁺-doped chalcogenide Photonic Crystal Fiber (PCF) amplifier operating in the mid-IR range. The chalcogenide glass of 72GeS₂–18Ga₂S₃–10CsI (in mol%) was fabricated with the high temperature melt-quenching method, which exhibited a strong emission peak around 3.8 μm under the excitation of a 800 nm laser. By employing the rate equations and propagation equations, the amplifying characteristics of the designed PCF amplifier were worked out. It is shown that the designed PCF amplifier exhibits a signal gain larger than 30 dB and a spectral width wider than 200 nm. The theoretical models and simulation results show that the PCF presented in this work can be used in developing high efficiency mid-IR light sources.     

Filtering characteristics of spatial filter for spatial filtering velocimeter

In order to select a suitable spatial filter for the spatial filtering velocimeter, the filtering characteristics of the spatial filters with a rectangular window and rectangular transmittance are investigated by the power spectrum of transmittance function method. The filtering characteristics of differential filters are investigated and compared with that of common ones. The influences of the number of spatial periods on the spectral bandwidth,deviation to central frequency, and peak transmittance are deeply analyzed. The results show that the influence is due to the form of superposition of the signal components and other components, the pedestal and higher-order components, and the superposition results from the finite size of the spatial filter. According to the results, a method is proposed to compensate for the deviation to central frequency.     

The combined effect of spatial compounding and nonlinear filtering on the speckle reduction in ultrasound images

Recently, a spatial compounding ultrasound imaging method was presented that utilizes a conventional 64-element phased array transducer with two unfocused pistons, each placed at one of the sides of the phased array transducer. This method is augmented here by inclusion of nonlinear filtering of the compounded images. The combined effects of the specific spatial compounding and nonlinear filtering on speckle reduction in the generated ultrasound images are studied and evaluated in two stages: First, the image quality is studied when nonlinear filtering is used as part of the spatial compounding. The study is performed by simulations using the Field II program, by processing several B-mode images of a kidney. The second stage compares the results obtained by the simulations to those obtained by in vitro laboratory experiments. Five different compounding strategies and two nonlinear filters, Gaussian and anisotropic diffusion, are investigated and evaluated in terms of image quality parameters-contrast and signal-to-noise ratio. It is shown that the combination of "averaging+nonlinear Gaussian filtering" produces the greatest improvement of image quality. When compared to a conventional phased array imaging system, the spatial compounding method that includes the conventional 64-element phased array transducer with two unfocused pistons, and employs the "averaging+nonlinear Gaussian filtering" strategy, obtains improvement in SNR that has reached 334%. Thus, though this method necessitates a somewhat wider probe, it produces significantly improved images.     

The Action of Time-Domain Convolution Filters for Solvent Suppression

The theory underlying the use of time-domain convolution techniques for solvent suppression is investigated. It is shown analytically that such techniques produce a line-by-line filtering of the spectrum, provided certain criteria are fulfilled. The nature of the criteria is discussed, along with the restrictions that they imply. The difference between line-by-line and point-by-point filters is stressed. Some practical recommendations are made concerning the use of such filters.     

Copolymer Particles with Incorporated Gold and Silver Nanoparticles to Absorb Short‐Wavelength Scattering in Full‐Color Photonic Glasses

Photonic glasses (PGs) have fascinated researchers because the structural colors that are reflected from PGs are angle independent. However, low color saturation, especially for colors at longer wavelengths, is an obstacle for realizing full‐color PGs. It is reported that the form‐factor‐(FF)‐derived reflections that degrade the color saturation of PGs can be removed by embedding Ag and Au nanoparticles (NPs) into copolymers. Styrene and 4‐vinylpyridne copolymer particles are prepared and used as nanotemplates to synthesize AgNPs and AuNPs. The wavelength of the FF‐derived reflections in relation to the diameter of the particles is estimated. NPs with an absorption spectrum corresponding to the calculated values are then selectively embedded in the copolymer particles. PGs fabricated with AgNP‐ and AuNP‐embedded copolymer particles exhibit fewer FF‐derived reflections owing to the surface‐plasmon‐resonance‐induced absorption of the embedded NPs. Using these FF‐reduced PGs, angle‐independent full‐color PG pigments are realized.     

What spatial light modulators can do for optical microscopy

With the availability of high‐resolution miniature spatial light modulators (SLMs) new methods in optical microscopy have become feasible. The SLMs discussed in this review consist of miniature liquid crystal displays with micron‐sized pixels that can modulate the phase and/or amplitude of an optical wavefront. In microscopy they can be used to control and shape the sample illumination, or they can act as spatial Fourier filters in the imaging path. Some of these applications are reviewed in this article. One of them, called spiral phase contrast, generates isotropic edge enhancement of thin phase samples or spiral‐shaped interference fringes for thicker phase samples, which can be used to reconstruct the phase topography from a single on‐axis interferogram. If SLMs are used for both illumination control and spatial Fourier filtering, this combination for instance allows for the generalization of the Zernike phase contrast principle. The new SLM‐based approach improves the effective resolution and avoids some shortcomings and artifacts of the traditional method. The main advantage of SLMs in microscopy is their flexibility, as one can realize various operation modes in the same setup, without the need for changing any hardware components, simply by electronically switching the phase pattern displayed on the SLMs.     

Photonic sensing components for fiber networks

Photonic sensing technologies are an integral part of Remote Fiber Test Systems used for maintaining optical fiber networks. Optical components used for this purpose such as branching components, filters, switches, water sensors and fiber identifiers are overviewed.     

Principles and development of spatial filtering velocimetry

As one of the interesting optical techniques for measurements of the velocity, the spatial-filtering method is treated briefly in this review. The basic theory of the method is examined by analyzing the filtering characteristics of a spatial filter using the power spectral density function. The signal analyses are summarized as one of the techniques used in the spatial filtering method. Various configurations of the spatial filtering velocimeter are classified into typical four groups and outlined according to a variety of spatial filters employed in the velocimeters.     

Elongation sensitivity of photonic crystal fibers

We determined theoretically a phase elongation sensitivity of the Photonic Crystal Fibers by means of the Multipole Method. The sensitivity was confirmed experimentally with good agreement for LMA-8 PCF.     

Spatial filtering of wall pressure fluctuations beneath a turbulent boundary layer

Methods of experimental spatial filtering of wall pressure fluctuations beneath a turbulent boundary layer are developed with the aim of obtaining information on the wave number-frequency spectrum. The spatial filtering of the pressure field components by wave-vector filters is studied. The method of spatial filtering of pressure fluctuations by an acoustic array, i.e., a periodic structure with a finite number of elementary transducers, is analyzed. The relation between the wave number characteristic of the acoustic array and the wave number spectrum of the amplitude distribution of transducer’s local sensitivity is determined. Quantitative estimates are obtained for the sensitivity of the array to the wave number spectrum of turbulent boundary-layer pressures, which is necessary for measuring the wall pressure fluctuations in a turbulent boundary layer by wave-vector filters.     

Characteristics of Add Drop Filter using single and dual PCRR in square lattice

A Photonic Crystal Ring Resonator (PCRR) based Add Drop Filter is designed using two dimensional (2D) square lattice PC silicon rods in air host. The normalized transmission spectra for a single-ring and dual-ring configurations have been investigated using 2D Finite Difference Time Domain (FDTD). The filter characteristics such as coupling efficiency, dropping efficiency, resonant wavelength and Q factor are numerically analyzed for single ring and dual ring PCRR. It is noted that the coupling efficiency, dropping efficiency and Q factor of single ring circular PCRR with scatterer rod are 100%, 100% and 186.75, respectively. The backward dropping is observed in single ring PCRR whereas forward dropping are noticed in dual ring PCRR based ADF. The Photonic Band Gap (PBG) with respect to structural parameters such as the radius of the rod, lattice constant and refractive index difference, and propagation modes in periodic and nonperiodic structure are calculated by Plane Wave Expansion (PWE) method.