An efficient N×N passive optical starcoupler

A novel method is presented for configuring an N× N passive star optical coupler and eliminating the excess loss problem associated with such couplers. A space-varying refractive index slab is introduced as a key design element for such a coupler. The wave mixing method is used to implement the coupler     

Efficient N×N star coupler based on Fourieroptics

A technique for constructing an efficient N×N star coupler suitable for mass production in integrated form for large N at optical frequencies is discussed. The coupler can be realised using Si technology by means of two arrays of strip waveguides and a dielectric slab formed on a glass substrate. Power transfer between the two arrays is accomplished through radiation in the dielectric slab with theoretical efficiency exceeding 30% under optimised conditions     

Theory of an efficient N×N passive opticalstar coupler

A method for configuring an efficient N×N optical passive star coupler is introduced. It makes the construction of a one-piece coupler possible and thus eliminates the excess loss problem associated with cascade couplers and reduces the structural complexity. The authors show that a 100% efficiency figure can be achieved through the entire array by using a properly designed space-varying refractive-index slab. The authors give a mathematical analysis of the space-varying refractive-index slab and examine spatial frequencies of the required refractive-index pattern. The authors demonstrate how the wave-mixing method can be utilized as one possible method of configuring such a slab, using a constant temporal optical frequency involving nonlinear media such as photorefractive crystals     

DC-20 GHz N×M passive switches

High-order, bidirectional, DC-20-GHz switch networks are discussed. Single-chip 1×2, 1×4, and 2×2 switch MMICs have been demonstrated. Multiple chips have been used to demonstrate 4×4 and 1×16 switches. The switches all use a combination of series and shunt passive FET switching elements. The 1×4 switch is made of a single stage of switching elements, rather than the usual two stages of 1×2 switches. The 2×2 switch is comprised of two stages of 1×2 switches. The multiple-chip 4×4 switch is made of four stages of 1×2 switches (using the 2×2 switch MMICs). Two stages of 1×4 switches are used to make the 1×16 switch     

Grating degeneration technique and sandwich structures forholographic N×N passive star couplers

Design for an efficient N×N passive integrated optical star coupler are proposed. The concepts of grating degeneration and sandwich structures are presented. The techniques and their combinations can significantly reduce the number of gratings required by the coupler and thus make it possible to build holographic N×N star couplers with recording materials of a moderate dynamic range     

The number of digital straight lines on an N×N grid

The number of digital straight lines on an N×N grid is shown. A digital straight line is equivalent to a linear dichotomy of points on a square grid. The result is obtained by determining a way of counting the number of linearly separable dichotomies of points on the plane that are not necessarily in general position. The analysis is easily modified to provide a simple solution to a similar problem considered by C. Berenstein and D. Lavine (1988) on the number of digital straight lines from a fixed starting point     

Optical switch matrix with simplified N×Ntree structure

Optical switch matrices with compact size and excellent crosstalk characteristics are discussed. Novel architectures for optical switch matrices are obtained by condensing the structure of N× N tree structure. 4×4 switches fabricated on LiNbO₃ substrates are discussed     

M×N Booth encoded multiplier generatorusing optimized Wallace trees

The architecture of a design method for an M-bit by N -bit Booth encoded parallel multiplier generator are discussed. An algorithm for reducing the delay inside the branches of the Wallace tree section is explained. The final step of adding two N±M-1-bit numbers is done by an optimal carry select adder stage. The algorithm for optimal partitioning of the N ±M-1-bit adder is also presented     

Order N log2 N WHT/DHT algorithm

An efficient algorithm is proposed which computes the coefficients of the higher order discrete Hartley transform (DHT) directly from the coefficients of lower-order DHTs. With this new development, the two-stage Walsh-Hadamard transform/discrete Hartley transform (WHT/DHT) is comparable to the existing fast algorithms. The same approach can also be used for the computation of DCT coefficients     

Power-efficient layout of a fiber-optic multistar that permits log2 N concurrent baseband transmissions among N stations

A passive, single-hop, fiber-optic interconnection among N stations, each with two transmitters and one receiver, and a round-robin transmission schedule for it, which jointly permit log ₂ N concurrent noninterfering transmissions on a single wavelength, has recently been described. This is a substantial improvement over the previously known limit of two concurrent transmissions, but the layout of this interconnection poses a challenge in terms of both wiring complexity and path loss. A power-efficient implementation of this interconnection using several stages of balanced fiber-optic star couplers is presented here. With lossless components, path loss is N, the same as that of a single-star interconnection that permits only a single transmission at a time. Consequently, the high degree of parallelism translates into higher capacity. The required number of (2×2) star couplers is also very similar to that required for implementing a single N×X star     

N-shift cross-orthogonal sequences

N-shift cross-orthogonal sequences and a complete complementary code derived from them are defined and discussed. A general method for generating this code is also discussed. A synchronous multiple-user spread-spectrum multiple system is proposed that uses N-shift cross-orthogonal sequences     

S matrix of slot-coupled H-plane tee junctionusing rectangular waveguides

Complex scattering matrix parameters of a slot-coupled, waveguide tee junction are determined using a moment method of analysis with entire orthogonal basis functions and a rigorous analysis of the effect of wall thickness. The variations of the equivalent network parameter, coupling, and return loss with frequency are evaluated, and the results are compared with experimental data. The unitary property of the S matrix is verified. The dependence of coupling on slot length, slot width, and thickness is presented     

Optimum control of N-input K-output matrixconverters

Significant developments of the general optimum control theory presented in a previous paper by the authors (1988) are discussed for the specific case of multiphase matrix converters. Results hold, regardless of system configuration, input and output voltage waveforms, and loads. Applications to the most practical converter structures are illustrated, and implementation criteria of the optimum control method are derived. Simulated results confirm the flexibility and effectiveness of the approach     

Gain measurements on the KrF(B→X), XeF(B→X), and XeF(C→A) lasertransitions in an XeF(C→A) laser gas mixture

Optimum energy extraction from an electron-beam-pumped XeF(C →A) laser is achieved with a five-component rare gas halide mixture. The characterization and modeling of laser action in such a gas mixture requires a knowledge of small-signal gain and absorption coefficients not only on the blue-green XeF(C→ A) transition, but also in the ultraviolet (UV) region for the competing XeF(B→X) and KrF(B→X ) transitions. The authors report gain measurements on the XeF(C→A) transition and small-signal gain and absorption coefficients at or near both the XeF(B→X ) (351 and 353 nm) and KrF(B→X) (248 nm) transitions. A study of the gain for the UV and visible transitions as a function of Kr and Xe partial pressure is reported, and its impact on the XeF(C→A) kinetics is discussed     

On minimizing the peak-to-average power ratio for the sum of N sinusoids

A new derivation is presented of a previously known relationship for phasing N equal-amplitude, equally spaced (in frequency) sinusoids so that the peak-to-average power ratio of their sum is 2.6 dB. The method of derivation provides intuitive insight into why this result is possible, and shows that the 2.6 dB figure is obtained independently of N as long as N is large. Any phase or frequency modulation can be applied simultaneously to all N sinusoids without altering this result     

FDTD for Nth-order dispersive media

Previously, a method for applying the finite-difference time domain (FDTD) method to dispersive media with complex permittivity described by a function with a single first-order pole was presented. This method involved the recursive evaluation of a discrete convolution, and was therefore relatively efficient. In this work, the recursive convolution approach is extended to media with dispersions described by multiple second-order poles. The significant change from the first-order implementation is that the single backstore variable for each second-order pole is complex. The approach is demonstrated for a pulsed plane wave incident on a medium with a complex permittivity described by two second-order poles, and excellent agreement is obtained with the exact solution     

Robustness of mean E{X} and R charts

The effect of nonnormality on E{X} and R charts is reported. The effect of departure from normality can be examined by comparing the probabilities that E{X} and R lie outside their three-standard-deviation and two-standard-deviation control limits. Tukey's λ-family of symmetric distributions is used because it contains a wide spectrum of distributions with a variety of tail areas. The constants required to construct E{X} and R charts for the λ-family are computed. Control charts based on the assumption of normality give inaccurate results when the tails of the underlying distribution are thin or thick. The validity of the normality assumption is examined by using a numerical example     

A technique for real-time measurement of Nth-orderderivativesdNV/dIN

A technique for the measurement of device derivatives d ^NV/dI^N of arbitrary order N described. Measurement is accomplished by injecting a test current composed of the sum of N square waves into the rest device, and then multiplying the corresponding voltage change by the product of those same square waves, followed by low-pass filtering. The algorithm is implemented in real time using a mixture of analog and digital circuitry, and its application to semiconductor laser control in high-speed optical communications is described     

An analysis of N Schwarz inverters driving a common AC bus

It is noted that electric power systems for future spacecraft may need distribution networks with multiple inputs and outputs. It is suggested that one way of achieving such a system is to connect Schwartz inverters in parallel to drive a common AC bus. A steady-state model is derived to calculate certain variables of interest and to predict how these inverters will share the load. Experimental results verify the feasibility of this approach and indicate reasonable agreement with the calculations     

Automatic VT extractors based on ann×n2 MOS transistor array and theirapplication

The development of incremental and decremental V_T extractors based on the square-law characteristic and an n ×n² transistor array is described. Different implementations have been discussed and the effect of nonidealities such as mobility reduction, channel-length modulation, mismatch, and body effect has been analyzed. Besides automatic V_T extraction, parameter K of an MOS transistor can also be extracted automatically using the V_T extractor, without any need of calculation and delay, and the extracted V_T and K are, respectively, in voltage and current. Experimental results are presented and indicate that the differences between extracted values using the V_T extractor and the most popular numerical method are as small as 0.15% and 0.064%. Additional applications, such as in level shifting, temperature compensation, and temperature measurement, where the V_T extractor can be used either as a PTAT sensor or as a centigrade sensor, are presented