scholarly journals General solutions of the theme “Light propagation in optical uniaxial crystals”

2017 ◽  
Vol 1 (T3) ◽  
pp. 79-89
Author(s):  
Nghia Quang Truong ◽  
Huong Tu Ngoc Nguyen
Keyword(s):  
Refractive Index ◽  
Light Propagation ◽  
New Approach ◽  
General Solutions ◽  
To Receive ◽  
Analytical Expressions

In this article, we introduce a new approach to receive general solutions which describe all of the properties of the light propagating across optical uniaxial crystals. In our approach we do not use the conception of refractive index ellipsoid as being done in references. The solutions are given in analytical expressions so we can handly calculate or writing a small program to compute these expressions.

scholarly journals NONLINEAR OPTICAL WAVEGUIDE STRUCTURE FOR SENSOR APPLICATION: TM CASE

2007 ◽  
Vol 21 (30) ◽  
pp. 5075-5089 ◽  
Author(s):  
HALA M. KHALIL ◽  
MOHAMMED M. SHABAT ◽  
SOFYAN A. TAYA ◽  
MAZEN M. ABADLA
Keyword(s):  
Refractive Index ◽  
Theoretical Analysis ◽  
Closed Form ◽  
Optical Waveguide ◽  
Effective Refractive Index ◽  
Nonlinear Optical ◽  
Waveguide Structure ◽  
Analytical Expressions ◽  
Evanescent Waveguide ◽  
Waveguide Sensor

In this work, we present an extensive theoretical analysis of nonlinear optical waveguide sensor. The waveguide under consideration consists of a thin dielectrica film surrounded by a self-focused nonlinear cladding and a linear substrate. The nonlinearity of the cladding is considered to be of Kerr-type. Both cases, when the effective refractive index is greater and when it is smaller than the index of the guiding layer, are discussed. The sensitivity of the effective refractive index to any change in the cladding index in evanescent optical waveguide sensor is derived for TM modes. Closed form analytical expressions and normalized charts are given to provide the conditions required for the sensor to exhibit its maximum sensitivity. The results are compared with those of the well-known linear evanescent waveguide sensors.

scholarly journals Evolution and Revolution in Microscopy - II

1993 ◽  
Vol 1 (1) ◽  
pp. 2-3
Author(s):  
Jean-Paul Revel
Keyword(s):  
Refractive Index ◽  
19Th Century ◽  
General Public ◽  
Numerical Aperture ◽  
High Refractive Index ◽  
Early 19Th Century ◽  
To Receive

While today a picture of a serious looking person peering into a microscope may suggest “science” to the general public, we noted in our last column that this was not always so. In the early 19th century, for example, the microscope was seen by many as a hobby, interesting yes, but not as worthy of respect as an amateur's telescope.Microscopes improved and soon, through the insight of the likes of Ernst Abbe, reached a state of perfection which was not greatly improved upon until recently. Once aberrations were well corrected for and glasses of high refractive index commonly utilized, further improvements in numerical aperture became increasingly difficult to receive. The only way to improve resolution seemed to be to decrease the wavelength of light used to illuminate the sample.

Aberrations of Volume Cylindrical Holographic Optical Element

2013 ◽  
Vol 8 (3) ◽  
pp. 6-12
Author(s):  
Yuriy Batomunkuev
Keyword(s):  
Refractive Index ◽  
Characteristic Function ◽  
Optical Element ◽  
Thermally Induced ◽  
The Third ◽  
Holographic Optical Element ◽  
Seventh Order ◽  
Chromatic Aberrations ◽  
Cylindrical Volume ◽  
Analytical Expressions

The analytical expressions allowed to calculate the third-, fifth- and seventh-order monochromatic and chromatic aberrations are obtained for the cylindrical volume holographic optical element by method of the characteristic function. The formulas for coefficients of third-, fifth- and seventh-order aberrations are presented. It is noted that coefficients of the aberrations arising because of photo induced, thermally induced and deformation changes of refractive index and of sizes of the cylindrical volume holographic optical element can be isolated in these coefficients. It is shown that width of the working spectral range for reflection cylindrical volume holographic optical element is inversely proportional to its thickness and for transmission holographic element is inversely proportional to square its thickness

Aberrations of Volume Cylindrical Holographic Optical Element

2012 ◽  
Vol 7 (3) ◽  
pp. 15-23
Author(s):  
Yuriy Batomunkuev
Keyword(s):  
Refractive Index ◽  
Characteristic Function ◽  
Optical Element ◽  
Thermally Induced ◽  
The Third ◽  
Holographic Optical Element ◽  
Seventh Order ◽  
Chromatic Aberrations ◽  
Cylindrical Volume ◽  
Analytical Expressions

The analytical expressions allowed to calculate the third-, fifth- and seventh-order monochromatic and chromatic aberrations are obtained for the cylindrical volume holographic optical element by method of the characteristic function. The formulas for coefficients of third-, fifth- and seventh-order aberrations are presented. It is noted that coefficients of the aberrations arising because of photo induced, thermally induced and deformation changes of refractive index and of sizes of the cylindrical volume holographic optical element can be isolated in these coefficients. It is shown that width of the working spectral range for reflection cylindrical volume holographic optical element is inversely proportional to its thickness and for transmission holographic element is inversely proportional to square its thickness

scholarly journals Dynamic Phasors Estimation Based on Taylor-Fourier Expansion and Gram Matrix Representation

2018 ◽  
Vol 2018 ◽  
pp. 1-17 ◽  
Author(s):  
Predrag Petrović ◽  
Nada Damljanović
Keyword(s):  
Matrix Representation ◽  
Series Representation ◽  
Gram Matrix ◽  
New Approach ◽  
Dynamic Phasors ◽  
New Strategy ◽  
Analytical Expressions ◽  
Numerical Complexity ◽  
Algebra Of Matrices

The paper presents a new approach to estimation of the dynamic power phasors parameters. The observed system is modelled in algebra of matrices related to its Taylor-Fourier-trigonometric series representation. The proposed algorithm for determination of the unknown phasors parameters is based on the analytical expressions for elements of the Gram’s matrix associated with this system. The numerical complexity and algorithm time are determined and it is shown that new strategy for calculation of Gram’s matrix increases the accuracy of estimation, as well as the speed of the algorithm with respect to the classical way of introducing the Gram’s matrix. Several simulation examples of power system signals with a time-varying amplitude and phase parameters are given by which the robustness and accuracy of the new algorithm are confirmed.

The New Approach to Optimization of Production – Technological Base of a Public Transport Enterprises Network on an Example of City Hanoi

2016 ◽  
Vol 838 ◽  
pp. 39-46
Author(s):  
Andrey Nikolaevich Rementsov ◽  
Victor Akimovich Egorov ◽  
Nguen Huang Manh
Keyword(s):  
Mathematical Model ◽  
Public Transport ◽  
Queuing Systems ◽  
Economic Criterion ◽  
New Approach ◽  
Systems Model ◽  
Maintenance Service ◽  
Technological Base ◽  
The Mathematical Model ◽  
To Receive

In the article application of queuing systems model in the field of operation of motor transport is presented. The system of maintenance service (MS) and operating repair (OR) of the cars on technological base is considered as multichannel multiphase queuing system. The mathematical model allows to receive necessary parameters of system MS and OR and to optimize them on technical-economic criterion.

scholarly journals Evaluation of a symptom-triggered front-loading detoxification technique for alcohol dependence: A pilot study

2004 ◽  
Vol 28 (11) ◽  
pp. 407-410 ◽  
Author(s):  
Ed Day ◽  
Jaimin Patel ◽  
George Georgiou
Keyword(s):  
Pilot Study ◽  
Alcohol Dependence ◽  
Randomised Trial ◽  
Intervention Group ◽  
New Approach ◽  
Acute Psychiatric Wards ◽  
Alcohol Detoxification ◽  
A New Technique ◽  
Set Up ◽  
To Receive

Aims and MethodsA pilot study was set up to compare a symptom-triggered ‘front-loading’ detoxification technique with the usual fixed dosage method. A group of 23 in-patients with alcohol dependence were randomised to receive either the intervention technique using diazepam or the standard chlordiazepoxide taper over 10 days.ResultsThe intervention group received a mean dosage of 74 mg diazepam (equivalent to 222 mg chlordiazepoxide) compared with 700 mg chlordiazepoxide in those receiving usual treatment. There was no statistical difference in the severity of alcohol withdrawal symptoms in the two groups, and the intervention group were slightly more satisfied with their treatment than the group undergoing the usual detoxification treatment. Feedback from the nursing staff was positive towards the new approach but highlighted some potential problems for its wider implementation.Clinical ImplicationsIt was possible to use a simple randomised trial design to introduce a new technique for alcohol detoxification to a specialist unit. Symptom-triggered front-loading detoxification using diazepam was as effective as a standard taper technique in terms of withdrawal severity reduction, and was acceptable to both patients and staff. This is potentially a useful technique for busy acute psychiatric wards.

New approach to the measurement of refractive index

2005 ◽  
Vol 44 (5) ◽  
pp. 058002 ◽  
Author(s):  
L. M. Bali
Keyword(s):  
Refractive Index ◽  
New Approach
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