Analytical expressions for the paraxial parameters of a single lens with a spherical distribution of refractive index

1992 ◽  
Vol 31 (25) ◽  
pp. 5197 ◽  
Author(s):  
Sead Dorić ◽  
Nathalie Renaud
Keyword(s):  
Refractive Index ◽  
Spherical Distribution ◽  
Single Lens ◽  
Analytical 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 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.

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 A simplified analytical approach to calculation of the electromagnetic behavior of left-handed metamaterials with a graded refractive index profile

2007 ◽  
Vol 39 (2) ◽  
pp. 185-191 ◽  
Author(s):  
N. Dalarsson ◽  
M. Maksimovic ◽  
Z. Jaksic
Keyword(s):  
Refractive Index ◽  
Numerical Solutions ◽  
Negative Refractive Index ◽  
Refractive Index Profile ◽  
Electromagnetic Response ◽  
Reflection And Transmission ◽  
New Class ◽  
Left Handed ◽  
Analytical Expressions ◽  
Positive Index

We investigated the spectral properties of a new class of nanostructured artificial composite materials with tailored electromagnetic response, i.e. negative refractive index materials, also known as "left-handed" metamaterials. We analyzed structures incorporating both ordinary positive index media and negative refractive index metamaterials where the interface may be graded to an arbitrary degree. Utilizing a modified version of the Rosen-Morse function, we derived analytical expressions for the field intensity and spectral reflection and transmission through a graded interface between positive and negative index materials. We compared our results to numerical solutions obtained using the transfer matrix technique. .

ANALYTICAL REPRESENTATIONS FOR THE TRUNCATED SPECTRAL CHARACTERISTICS OF THE FOUR-POINT COHERENCE FUNCTION OF A LASER BEAM IN A TURBULENT MEDIUM

2021 ◽  
Vol 88 (6) ◽  
pp. 872-880
Author(s):  
N. N. Rogovtsov ◽  
V. Ya. Anissimov
Keyword(s):  
Functional Equation ◽  
Refractive Index ◽  
Laser Beam ◽  
Spectral Characteristic ◽  
Spectral Characteristics ◽  
Coherence Function ◽  
Turbulent Medium ◽  
Analytical Expressions

New analytical representations for the truncated spectral characteristics of the four-point coherence function of a laser beam propagating in a turbulent medium are obtained. These representations are valid for any level of fluctuations of the refractive index in air. For two particular cases they turn into exact analytical representations previously derived by the authors with using of an integro-functional equation for truncated spectral characteristic of the four-point coherence function. A constructive procedure for obtaining approximate analytical expressions of the four-point coherence function of a laser beam propagating in a turbulent medium is proposed.

scholarly journals Chromatic Aberration in Digital Photomicrographs from Microscopes Requiring Compensating Eyepieces

2004 ◽  
Vol 12 (4) ◽  
pp. 34-37 ◽  
Author(s):  
Ted Clarke
Keyword(s):  
Refractive Index ◽  
White Light ◽  
Imaging System ◽  
Chromatic Aberration ◽  
Focal Points ◽  
Single Lens ◽  
Chromatic Aberrations ◽  
Different Color ◽  
Lateral Chromatic Aberration ◽  
Color Components

Chromatic aberrations are defects in an imaging system caused by the fact that different wavelengths or colors of light are refracted by different amounts. There are two types of chromatic aberration: longitudinal and lateral. Longitudinal Chromatic Aberration arises when a lens fails to focus various colors sharply in the same plane. If white light is used, the resulting image will be unsharp due to the different focal points of its component colors. Some colors will be in focus (and therefore sharp) and other colors will be out of focus. Lateral Chromatic Aberration results in a lateral shift of the different color components of an image as a single lens with a fixed refractive index will disperse each color by different amounts. This results in color stripes at slightly different magnifications, much like a rainbow, around hard edges and a general softening or decrease in resolution in all areas.

scholarly journals Terahertz Optics of Materials with Spatially Harmonically Distributed Refractive Index

Materials ◽  
2020 ◽  
Vol 13 (22) ◽  
pp. 5208
Author(s):  
Dzmitry Bychanok ◽  
Gleb Gorokhov ◽  
Artyom Plyushch ◽  
Alfredo Ronca ◽  
Marino Lavorgna ◽  
...  
Keyword(s):  
Refractive Index ◽  
Thermoplastic Polyurethane ◽  
Electromagnetic Properties ◽  
Electromagnetic Response ◽  
Frequency Range ◽  
Spatially Periodic ◽  
3D Printed ◽  
New Generation ◽  
Analytical Expressions ◽  
Theoretical Results

The electromagnetic properties of structures with spatially periodic distributed graded refractive index were investigated in the terahertz frequency range. The band structure and electromagnetic response of material with harmonically distributed refractive index were calculated and analyzed. The analytical expressions for frequencies of the first and second bandgap are derived. 3D printed gyroid based architectures were proven to be harmonically graded refractive index structures with designed bandgaps in THz frequency ranges. The transmission coefficient of thermoplastic polyurethane-based samples were experimentally measured in the frequency range 100–500 GHz and compared with theoretical results. Due to losses in the real world produced samples, the predicted response is significantly dumped in the terahertz range and only traces of band gaps are experimentally observed. This funding paves the way toward a new generation of 3D printed THz components for gradient-index optics applications.

Optical properties of wedge-shaped quantum dots under Rashba spin–orbit interaction

2017 ◽  
Vol 31 (08) ◽  
pp. 1750055 ◽  
Author(s):  
R. Khordad
Keyword(s):  
Refractive Index ◽  
Optical Properties ◽  
Orbit Interaction ◽  
Matrix Formalism ◽  
Spin Orbit ◽  
Spin Orbit Interaction ◽  
Rashba Spin ◽  
Density Matrix Formalism ◽  
Index Changes ◽  
Analytical Expressions

In the present paper, the optical properties of a GaAs wedge-shaped quantum dot (QD) under the effect of Rashba spin–orbit interaction (SOI) are theoretically studied. For this purpose, we have used analytical expressions for optical properties obtained by the compact-density matrix formalism. The dependence of the optical absorption coefficients and refractive index changes on the strength of Rashba SOI for different angles and different radii of wedge-shaped QD has been studied. According to the obtained results, it is found that (i) the Rashba SOI does not have considerable effects on the refractive index changes maxima. (ii) The total absorption coefficient is increased and shifted towards higher energies with considering the Rashba SOI. (iii) The influence of Rashba SOI on the optical properties depends on the parameters such as apex angle and radius of the wedge-shaped QD.

scholarly journals Модифицированная теория связанных волн и численный метод для анализа брэгговских зеркал с произвольным профилем показателя преломления

2021 ◽  
Vol 91 (12) ◽  
pp. 1997
Author(s):  
Р.А. Мастеров ◽  
С.Ю. Карпов
Keyword(s):  
Refractive Index ◽  
Knowledge Base ◽  
Numerical Approach ◽  
Refractive Index Profile ◽  
Group Iii Nitrides ◽  
Index Profile ◽  
Group Iii ◽  
Hybrid Numerical Method ◽  
Analytical Expressions ◽  
Modified Theory

An analytical and effective numerical approach to the analysis of the optical characteristics of Bragg mirrors with an arbitrary refractive index profile is developed. Analytical expressions obtained using the modified theory of coupled waves for the coefficients of reflection / transmission of light from / through the BM with high accuracy predict its main characteristics at both low and high contrast of the refractive index. The hybrid numerical method includes the numerical calculation of the transfer matrix for one period of the knowledge base and its analytical multiplication for an arbitrary number of periods. The developed methods are applied to the analysis of the properties of practically important BMs made on the basis of sprayed pairs of Ta2O5 / SiO2 dielectrics, Group III nitrides and arsenides. The characteristics of the knowledge base with smooth (gradient) interfaces are considered in detail.

Sign in / Sign up

Export Citation Format

Share Document