Scalable Methods for Deterministic Integration of Quantum Emitters in Photonic Crystal Cavities

We investigated four unique methods for achieving scalable, deterministic integration of quantum emitters into ultra-high Q{V photonic crystal cavities, including selective area heteroepitaxy, engineered photoemission from silicon nanostructures, wafer bonding and dimensional reduction of III-V quantum wells, and cavity-enhanced optical trapping. In these areas, we were able to demonstrate site-selective heteroepitaxy, size-tunable photoluminescence from silicon nanostructures, Purcell modification of QW emission spectra, and limits of cavity-enhanced optical trapping designs which exceed any reports in the literature and suggest the feasibility of capturing- and detecting nanostructures with dimensions below 10 nm. In addition to process scalability and the requirement for achieving accurate spectral- and spatial overlap between the emitter and cavity, these techniques paid specific attention to the ability to separate the cavity and emitter material systems in order to allow optimal selection of these independently, and eventually enable monolithic integration with other photonic and electronic circuitry.

We also developed an analytic photonic crystal design process yielding optimized cavity tapers with minimal computational effort, and reported on a general cavity modification which exhibits improved fabrication tolerance by relying exclusively on positional- rather than dimensional tapering. We compared several experimental coupling techniques for device characterization. Significant efforts were devoted to optimizing cavity fabrication, including the use of atomic layer deposition to improve surface quality, exploration into factors affecting the design fracturing, and automated analysis of SEM images. Using optimized fabrication procedures, we experimentally demonstrated 1D photonic crystal nanobeam cavities exhibiting the highest Q/V reported on substrate. Finally, we analyzed the bistable behavior of the devices to quantify the nonlinear optical response of our cavities.

Noise Cancellation for Gravitational Wave Detectors

The LIGO gravitational wave detectors are on the brink of making the first direct detections of gravi- tational waves. Noise cancellation techniques are described, in order to simplify the commissioning of these detectors as well as significantly improve their sensitivity to astrophysical sources. Future upgrades to the ground based detectors will require further cancellation of Newtonian gravitational noise in order to make the transition from detectors striving to make the first direct detection of gravitational waves, to observatories extracting physics from many, many detections. Techniques for this noise cancellation are described, as well as the work remaining in this realm.

DNA-mediated charge transport signaling within the cell

DNA possesses the curious ability to conduct charge longitudinally through the π-stacked base pairs that reside within the interior of the double helix. The rate of charge transport (CT) through DNA has a shallow distance dependence. DNA CT can occur over at least 34 nm, a very long molecular distance. Lastly, DNA CT is exquisitely sensitive to disruptions, such as DNA damage, that affect the dynamics of base-pair stacking. Many DNA repair and DNA-processing enzymes are being found to contain 4Fe-4S clusters. These co-factors have been found in glycosylases, helicases, helicase-nucleases, and even enzymes such as DNA polymerase, RNA polymerase, and primase across the phylogeny. The role of these clusters in these enzymes has remained elusive. Generally, iron-sulfur clusters serve redox roles in nature since, formally, the cluster can exist in multiple oxidation states that can be accessed within a biological context. Taken together, these facts were used as a foundation for the hypothesis that DNA-binding proteins with 4Fe-4S clusters utilize DNA-mediated CT as a means to signal one another to scan the genome as a first step in locating the subtle damage that occurs within a sea of undamaged bases within cells.

Herein we describe a role for 4Fe-4S clusters in DNA-mediated charge transport signaling among EndoIII, MutY, and DinG, which are from distinct repair pathways in E. coli. The DinG helicase is an ATP-dependent helicase that contains a 4Fe-4S cluster. To study the DNA-bound redox properties of DinG, DNA-modified electrochemistry was used to show that the 4Fe-4S cluster of DNA-bound DinG is redox-active at cellular potentials, and shares the 80 mV vs. NHE redox potential of EndoIII and MutY. ATP hydrolysis by DinG increases the DNA-mediated redox signal observed electrochemically, likely reflecting better coupling of the 4Fe-4S cluster to DNA while DinG unwinds DNA, which could have interesting biological implications. Atomic force microscopy experiments demonstrate that DinG and EndoIII cooperate at long range using DNA charge transport to redistribute to regions of DNA damage. Genetics experiments, moreover, reveal that this DNA-mediated signaling among proteins also occurs within the cell and, remarkably, is required for cellular viability under conditions of stress. Knocking out DinG in CC104 cells leads to a decrease in MutY activity that is rescued by EndoIII D138A, but not EndoIII Y82A. DinG, thus, appears to help MutY find its substrate using DNA-mediated CT, but do MutY or EndoIII aid DinG in a similar way? The InvA strain of bacteria was used to observe DinG activity, since DinG activity is required within InvA to maintain normal growth. Silencing the gene encoding EndoIII in InvA results in a significant growth defect that is rescued by the overexpression of RNAseH, a protein that dismantles the substrate of DinG, R-loops. This establishes signaling between DinG and EndoIII. Furthermore, rescue of this growth defect by the expression of EndoIII D138A, the catalytically inactive but CT-proficient mutant of EndoIII, is also observed, but expression of EndoIII Y82A, which is CT-deficient but enzymatically active, does not rescue growth. These results provide strong evidence that DinG and EndoIII utilize DNA-mediated signaling to process DNA damage. This work thus expands the scope of DNA-mediated signaling within the cell, as it indicates that DNA-mediated signaling facilitates the activities of DNA repair enzymes across the genome, even for proteins from distinct repair pathways.

In separate work presented here, it is shown that the UvrC protein from E. coli contains a hitherto undiscovered 4Fe-4S cluster. A broad shoulder at 410 nm, characteristic of 4Fe-4S clusters, is observed in the UV-visible absorbance spectrum of UvrC. Electron paramagnetic resonance spectroscopy of UvrC incubated with sodium dithionite, reveals a spectrum with the signature features of a reduced, [4Fe-4S]+1, cluster. DNA-modified electrodes were used to show that UvrC has the same DNA-bound redox potential, of ~80 mV vs. NHE, as EndoIII, DinG, and MutY. Again, this means that these proteins are capable of performing inter-protein electron transfer reactions. Does UvrC use DNA-mediated signaling to facilitate the repair of its substrates?

UvrC is part of the nucleotide excision repair (NER) pathway in E. coli and is the protein within the pathway that performs the chemistry required to repair bulky DNA lesions, such as cyclopyrimidine dimers, that form as a product of UV irradiation. We tested if UvrC utilizes DNA-mediated signaling to facilitate the efficient repair of UV-induced DNA damage products by helping UvrC locate DNA damage. The UV sensitivity of E. coli cells lacking DinG, a putative signaling partner of UvrC, was examined. Knocking out DinG in E. coli leads to a sensitivity of the cells to UV irradiation. A 5-10 fold reduction in the amount of cells that survive after irradiation with 90 J/m2 of UV light is observed. This is consistent with the hypothesis that UvrC and DinG are signaling partners, but is this signaling due to DNA-mediated CT? Complementing the knockout cells with EndoIII D138A, which can also serve as a DNA CT signaling partner, rescues cells lacking DinG from UV irradiation, while complementing the cells with EndoIII Y82A shows no rescue of viability. These results indicate that there is cross-talk between the NER pathway and DinG via DNA-mediated signaling. Perhaps more importantly, this work also establishes that DinG, EndoIII, MutY, and UvrC comprise a signaling network that seems to be unified by the ability of these proteins to perform long range DNA-mediated CT signaling via their 4Fe-4S clusters.

Influence of birefringence dispersion on distributed measurement of polarization coupling in birefringent fibers

A white light interferometer is developed to measure the distributed polarization coupling in high-birefringence polarization-maintaining fibers (PMFs). Usually the birefringence dispersion between two orthogonal eigenmodes of PMFs is neglected in such systems. Theoretical analysis and experimental results show that the birefringence dispersion becomes a nonnegligible factor in a long-fiber test. Significant broadening of interferograms and loss of longitudinal coherence are observed. The spatial resolution and measurement sensitivity of the system decrease correspondingly. Optimum spectrum width selection is presented for better spatial resolution and measurement range. c 2007 Society of Photo-Optical Instrumentation Engineers.

Multibeam coupling in photorefractive SBN:Ce

Theoretical and experimental results are presented for simultaneous multibeam coupling in photorefractive SBN:Ce. Within a single crystal, multiple signals are amplified through a coupling process that employs a single pump. The coupling gain of each signal results from coupling both between the pump and the signal and between different signals. The amount of gain that each signal receives is dependent on the intensity of the incident signal; thus a competition for the gain exists among the various signals.

Effect of microcosmic optical parameters of dopants on the signal-to-noise ratio in doubly doped LiNbO3 crystals

We propose a united theory that describes the two-center recording system by taking scattering noise into account. The temporal evolution of the signal-to-noise ratio in doubly doped photorefractive crystals is described based on jointly solving material equations and coupled-wave equations with the fourth-order Runge-Kutta method. Roles of microcosmic optical parameters of dopants on the signal-to-noise ratio are discussed in detail. The theoretical results can confirm and predict experimental results. (c) 2005 Elsevier GmbH. All rights reserved.

Dilution refrigeration and a calorimetric measurement of the quadruple coupling constant in rhenium metal

A dilution refrigerator has been constructed capable of producing steady state temperatures less than .075°K. The first part of this work is concerned with the design and construction of this machine. Enough theory is presented to allow one to understand the operation and critical design factors of a dilution refrigerator. The performance of our refrigerator is compared with the operating characteristics of three other dilution refrigerators appearing in the present literature.

The dilution refrigerator constructed was used to measure the nuclear contribution to the low temperature specific heat of a pure, single-crystalline sample of rhenium metal. Measurements were made in magnetic fields from 0 to 12.5 kOe for the temperature range .13°K - .52°K. The second part of this work discusses the results of these experiments. The expected nuclear contribution is not found when the sample is in the superconducting state. This is believed to be due to the long spin-lattice relaxation times in superconductors. In the normal state, for the temperature range studied, the nuclear contribution is given by A/T² where A = .061 ± .002 millijoules-K/mole. The value of A is found to increase to A = .077 ± .004 millijoules-K/mole when the sample is located in a magnetic field of 12.5 kOe.

From the measured value of A the splitting of the energy levels of the nuclear spin system due to the interaction of the internal crystalline electric field gradients with the nuclear quadrupole moments is calculated. A comparison is made between the predicted and measured magnetic dependence of the specific heat. Finally, predictions are made of future nuclear magnetic resonance experiments which may be performed to check the results obtained by calorimetery here and further, to investigate existing theories concerning the sources of electric field gradients in metals.

Optimum linear coding for additive noise systems using information feedback

The feedback coding problem for Gaussian systems in which the noise is neither white nor statistically independent between channels is formulated in terms of arbitrary linear codes at the transmitter and at the receiver. This new formulation is used to determine a number of feedback communication systems. In particular, the optimum linear code that satisfies an average power constraint on the transmitted signals is derived for a system with noiseless feedback and forward noise of arbitrary covariance. The noisy feedback problem is considered and signal sets for the forward and feedback channels are obtained with an average power constraint on each. The general formulation and results are valid for non-Gaussian systems in which the second order statistics are known, the results being applicable to the determination of error bounds via the Chebychev inequality.

Simple ABCD matrix method for evaluating optical coupling system of laser diode to single-mode fiber with a lensed-tip

In this paper, we present a simple technique to determine the coupling efficiency between a laser diode and a lensed-tip based on the ABCD transformation matrix method. We have compared our analysis technique to that of previous work and have found that the presented method is reliable in predicting the coupling efficiency of lensed-tip and has the advantage of simplicity of coupling efficiency calculation even by a pocket calculator. The results can be useful for designing coupling optics. (c) 2005 Elsevier GmbH. All rights reserved.

Spectral density of first order Piecewise linear systems excited by white noise

The Fokker-Planck (FP) equation is used to develop a general method for finding the spectral density for a class of randomly excited first order systems. This class consists of systems satisfying stochastic differential equations of form ẋ + f(x) = m/Ʃ/j = 1 h_j(x)n_j(t) where f and the h_j are piecewise linear functions (not necessarily continuous), and the n_j are stationary Gaussian white noise. For such systems, it is shown how the Laplace-transformed FP equation can be solved for the transformed transition probability density. By manipulation of the FP equation and its adjoint, a formula is derived for the transformed autocorrelation function in terms of the transformed transition density. From this, the spectral density is readily obtained. The method generalizes that of Caughey and Dienes, J. Appl. Phys., 32.11.

This method is applied to 4 subclasses: (1) m = 1, h₁ = const. (forcing function excitation); (2) m = 1, h₁ = f (parametric excitation); (3) m = 2, h₁ = const., h₂ = f, n₁ and n₂ correlated; (4) the same, uncorrelated. Many special cases, especially in subclass (1), are worked through to obtain explicit formulas for the spectral density, most of which have not been obtained before. Some results are graphed.

Dealing with parametrically excited first order systems leads to two complications. There is some controversy concerning the form of the FP equation involved (see Gray and Caughey, J. Math. Phys., 44.3); and the conditions which apply at irregular points, where the second order coefficient of the FP equation vanishes, are not obvious but require use of the mathematical theory of diffusion processes developed by Feller and others. These points are discussed in the first chapter, relevant results from various sources being summarized and applied. Also discussed is the steady-state density (the limit of the transition density as t → ∞).

I. Nuclear spin-internal-rotation-coupling. II. Fluorine spin-rotation interaction and magnetic shielding in fluorobenzene

Part I.

The interaction of a nuclear magnetic moment situated on an internal top with the magnetic fields produced by the internal as well as overall molecular rotation has been derived following the method of Van Vleck for the spin-rotation interaction in rigid molecules. It is shown that the Hamiltonian for this problem may be written

H_SR = Ῑ · M · Ĵ + Ῑ · M” · Ĵ”

Where the first term is the ordinary spin-rotation interaction and the second term arises from the spin-internal-rotation coupling.

The F¹⁹ nuclear spin-lattice relaxation time (T₁) of benzotrifluoride and several chemically substituted benzotrifluorides, have been measured both neat and in solution, at room temperature by pulsed nuclear magnetic resonance. From these experimental results it is concluded that in benzotrifluoride the internal rotation is crucial to the spin relaxation of the fluorines and that the dominant relaxation mechanism is the fluctuating spin-internal-rotation interaction.

Part II.

The radiofrequency spectrum corresponding to the reorientation of the F¹⁹ nuclear moment in flurobenzene has been studied by the molecular beam magnetic resonance method. A molecular beam apparatus with an electron bombardment detector was used in the experiments. The F¹⁹ resonance is a composite spectrum with contributions from many rotational states and is not resolved. A detailed analysis of the resonance line shape and width by the method of moments led to the following diagonal components of the fluorine spin-rotational tensor in the principal inertial axis system of the molecule:

F/Caa = -1.0 ± 0.5 kHz

F/Cbb = -2.7 ± 0.2 kHz

F/Ccc = -1.9 ± 0.1 kHz

From these interaction constants, the paramagnetic contribution to the F¹⁹ nuclear shielding in C₆H₅F was determined to be -284 ± ppm. It was further concluded that the F¹⁹ nucleus in this molecule is more shielded when the applied magnetic field is directed along the C-F bond axis. The anisotropy of the magnetic shielding tensor, σ_” - σ_⊥, is +160 ± 30 ppm.