Intracorneal Rings for Keratoconus Clues for Success
|
|
|
- Eleanor Campbell
- 5 years ago
- Views:
Transcription
1 El Cairo, January 2018 Intracorneal Rings for Keratoconus Clues for Success Prof. Rafael I. Barraquer Barraquer Institute Barcelona, SPAIN THE AUTHOR HAS NO DIRECT FINANCIAL INTEREST IN ANY OF THE PRODUCTS DISCUSSED IN THIS PRESENTATION 1
2 Background: IntraCorneal Ring Segments (ICRS) An established option for treating keratoconus (KC) However, KC variability makes ICRS implantation a complex problem What are we trying to correct? How do they work? What is the effect of each type of ICRS on myopia, astigmatism, coma? What is the best combination of ICRS for a particular cornea? The Evidence 2
3 ICRS: Published Results INTACS (1141 eyes, 18 papers) Ferrara/Keraring (134 eyes, 4 papers) Mean K reduction D D Mean Cyl reduction D ( vect.) D Mean Sph. Eq. reduct D ( typ.) ,80 D Mean UCVA improvt %eyes (+1 to +9 lin, +2-3 typ.) 77-88% ( lin.) Mean BSCVA improvt %eyes (-1.2 to +4 lin, +2 typ.) 70-86% ( lin.) BSCVA line loss 3.7% % eyes 0% % eyes Implant Extrusion? Man: 8-20%; FsL <4% They do work & appear safe, but correction often only partial & quite variable How can we improve the results? The Problem 3
4 ICRS: How do they work? Commonly assumed to follow Thickness Law of José I. Barraquer The effect does increase with: Thicker segments Smaller diameter HOWEVER: They work at deep position Posterior indentation NO anterior thickness effect (a minor local bump ) ICRS: Compressive biomechanical devices Space Occupation! Force lamellae to detour around implant longer path increased tension Curvature change is the (indirect) result of biomechanical (compressive) forces 4
5 Why is correcting KC a challenge? Essentially an irregular cornea Still, the problem can be decomposed: Increased curvature Myopia, SphAb Different curvatures Astigmatism Decentration Can be measured as Coma aberration Cannot be corrected with glasses Multiple types of ICRS: Greater control, greater complexity One or two (+) ICRS Different sections, diameters, thickness, arc widths Greater number of possible combinations How to select the best combination? Possible independent effects on: Sphere (Myopia) Astigmatism Decentration/Coma Spherical aberration 5
6 A rationale for appication? Sectorial vs. encircling effects Assuming a compressive effect: A sector only (~ 90º) steepens that meridian 90º (Just the opposite of Thickness Law of J.I.B.) Corrects astigmatism A circle 360º (180º x2) gen. flattening (Just like a tightly sutured PK) Corrects myopia 6
7 How can we correct Coma? Astigmatism: a quadrantic aberration Max correction: acting over a quadrant ( ~ 90º arc ) or both opposite 1 or 2x opposing ICRS, centered over flat axis (effects add) Coma: a half circle (hemispheric) aberration Max correction: pushing from one hemisphere (~ 180º arc) only ICRS 1 side (a 2 nd implant will reduce the effect) Organizing the Modalities of Implantation 2x2 Basic Features/Patterns Symmetry 2 equal, paired ICRS Symmetric 1 single / 2 different ICRS (or more) Asymmetric Axiality (are they on the axis?) ICRS (1 or 2) over flat (-) axis ICRS (1 or more) over different axis Axial ( 30º away from flat axis if 1x) Non-Axial ( 15º away from flat axis if 2x) The SymAx classification 7
8 Combining the two criteria: 4+2 types (The SymAx classification) SA.ANA type SA AA1 AA2 SNA Segments (Symmetric vs. Asymmetric) Symmetric 2 ICRS (equal) Asymmetric 1 ICRS 2 ICRS(unequal) Symmetric 2 ICRS (equal) Implantation Axis (Axial= same, flat A axis vs. Non-Axial= other axis) Axial (red= plus axis blue= minus axis) Axial (red= plus axis blue= minus axis) Non-Axial (green= mid-ics axis, displaced 15º from minus axis) ANA1 ANA2 Asymmetric 1 ICRS (wide) 2 ICRS(unequal) Non-Axial (green= mid-ics axis, displaced 30º from Minus axis coma axis or intermediate) Summary Understand complexity of keratoconus ( deconstuct ) Compressive theory explains observed actions of ICRS SymAx a simple, 2-condition classification of the implantation modalities: Symmetry: Sym (S) vs. Asym (A) Ax (A) vs. Non-Ax (NA) A prerequisite for a sensible analysis of ICRS results 8
9 Thank You 9
FORMULA FOR THE DEPTH OF THE FEMTOTUNNEL IN THE IMPLANTATION OF THE KERARING SI 5, SI 6 BY MEANS OF INTRALASE ifs 150
FORMULA FOR THE DEPTH OF THE FEMTOTUNNEL IN THE IMPLANTATION OF THE KERARING SI 5, SI 6 BY MEANS OF INTRALASE ifs 150 Madunicky J., Pasta J., Nemcova I. Smeckova K., Hladikova K., Hakucova K. Refractive
Michael K. Smolek, Ph.D. Associate Professor of Ophthalmology LSUHSC School of Medicine New Orleans, LA
Michael K. Smolek, Ph.D. Associate Professor of Ophthalmology LSUHSC School of Medicine New Orleans, LA I have no financial interest in any products described. 14 th Symposium on the Material Science And
Lens Design II. Lecture 1: Aberrations and optimization Herbert Gross. Winter term
Lens Design II Lecture 1: Aberrations and optimization 18-1-17 Herbert Gross Winter term 18 www.iap.uni-jena.de Preliminary Schedule Lens Design II 18 1 17.1. Aberrations and optimization Repetition 4.1.
Part 1 - Basic Interferometers for Optical Testing
Part 1 - Basic Interferometers for Optical Testing Two Beam Interference Fizeau and Twyman-Green interferometers Basic techniques for testing flat and spherical surfaces Mach-Zehnder Zehnder,, Scatterplate
Map Projections. Chapter 4 MAP PROJECTION
Map Projections Chapter 4 Map Projections What is map projection? Why are map projections drawn? What are the different types of projections? Which projection is most suitably used for which area? In this
Large Lens OrthoK Design Perspective
Large Lens OrthoK Design Perspective This is my first large lens OrthoK design. I used the template on the Wave website. I will put all the pertinent data below, but at the one week follow up, I'm getting
CLASS X FORMULAE MATHS
Real numbers: Euclid s division lemma Given positive integers a and b, there exist whole numbers q and r satisfying a = bq + r, 0 r < b. Euclid s division algorithm: This is based on Euclid s division
The Distributed Defining System for the Primary Mirrors
The Distributed Defining System for the Primary Mirrors Larry Stepp Myung K. Cho Optics Manager Opto-structural Engineer November 5, 1993 GEMINI PROJECT OFFICE 950 N. Cherry Ave. Tucson, Arizona 85719
Magnetic Fields due to Currents
Observation: a current of moving charged particles produces a magnetic field around the current. Chapter 29 Magnetic Fields due to Currents Magnetic field due to a current in a long straight wire a current
Optical/IR Observational Astronomy Telescopes I: Optical Principles. David Buckley, SAAO. 24 Feb 2012 NASSP OT1: Telescopes I-1
David Buckley, SAAO 24 Feb 2012 NASSP OT1: Telescopes I-1 1 What Do Telescopes Do? They collect light They form images of distant objects The images are analyzed by instruments The human eye Photographic
MODELING THE FLOW OF AQUEOUS HUMOR IN POSTERIOR CHAMBER. Ram Avtar, Swati Srivastava 1
MODELING THE FLOW OF AQUEOUS HUMOR IN POSTERIOR CHAMBER Ram Avtar, Swati Srivastava 1 Department of Mathematics, Harcourt Butler Technological Institute, Kanpur 208002, India 1 Corresponding Author e-mail:
Wavefront Optics for Vision Correction
Wavefront Optics for Vision Correction Guang-mingDai SPIE PRESS Bellingham, Washington USA Contents Preface Symbols, Notations, and Abbreviations xiii xv 1 Introduction 1 1.1 Wavefront Optics and Vision
Electric Fields and Continuous Charge Distributions Challenge Problem Solutions
Problem 1: Electric Fields and Continuous Charge Distributions Challenge Problem Solutions Two thin, semi-infinite rods lie in the same plane They make an angle of 45º with each other and they are joined
Telescopes and Optics II. Observational Astronomy 2017 Part 4 Prof. S.C. Trager
Telescopes and Optics II Observational Astronomy 2017 Part 4 Prof. S.C. Trager Fermat s principle Optics using Fermat s principle Fermat s principle The path a (light) ray takes is such that the time of
An accessory to the polarizing microscope for the optical examination of crystals.
513 An accessory to the polarizing microscope for the optical examination of crystals. By H. C. G. VINCENT, M.A., F.G.S. Department of Geology, University of Cape Town. [Taken as read November 4, 1954.]
A New Photogrammetric Method for Quantifying Corneal Topography
A New Photogrammetric Method for Quantifying Corneal Topography Kenneth L. Cohen,* Nancy K. Tripoli,* Alvin C. Pellom,t Lawrence L. Kupper4 and Andrzej W. Fryczkowski* Attempts to describe normal corneal
Physics 9 Friday, April 4, 2014
Physics 9 Friday, April 4, 2014 FYI: final exam is Friday, May 9th, at 9am, in DRL A2. Turn in HW10 today. I ll post HW11 tomorrow. For Monday: read concepts half of Ch31 (electric circuits); read equations
ATMO 551b Spring Barometry
Barometry In our context, a barometer is an instrument designed to measure the hydrostatic (as opposed to dynamic) pressure of the atmosphere. Units of pressure: Pressure is Force per unit area which is
AOL Spring Wavefront Sensing. Figure 1: Principle of operation of the Shack-Hartmann wavefront sensor
AOL Spring Wavefront Sensing The Shack Hartmann Wavefront Sensor system provides accurate, high-speed measurements of the wavefront shape and intensity distribution of beams by analyzing the location and
Map projections. Rüdiger Gens
Rüdiger Gens Coordinate systems Geographic coordinates f a: semi-major axis b: semi-minor axis Geographic latitude b Geodetic latitude a f: flattening = (a-b)/a Expresses as a fraction 1/f = about 300
(Refer Slide Time: 01:00 01:01)
Strength of Materials Prof: S.K.Bhattacharya Department of Civil Engineering Indian institute of Technology Kharagpur Lecture no 27 Lecture Title: Stresses in Beams- II Welcome to the second lesson of
Radiation Heat Transfer Prof. J. Srinivasan Centre for Atmospheric and Oceanic Sciences Indian Institute of Science Bangalore
Radiation Heat Transfer Prof. J. Srinivasan Centre for Atmospheric and Oceanic Sciences Indian Institute of Science Bangalore Lecture - 7 Evaluations of shape factors (Refer Slide Time: 00:18) The last
The Accuracy of Tower' Maps to Display Curvature Data in Corneal Topography Systems
The Accuracy of Tower' Maps to Display Curvature Data in Corneal Topography Systems Cynthia Roberts Purpose. To quantify the error introduced by videokeratographic corneal topography devices in using a
Map Projections. Displaying the earth on 2 dimensional maps
Map Projections Displaying the earth on 2 dimensional maps Map projections Define the spatial relationship between locations on earth and their relative locations on a flat map Are mathematical expressions
Design and Correction of optical Systems
Design and Correction of optical Systems Part 10: Performance criteria 1 Summer term 01 Herbert Gross Overview 1. Basics 01-04-18. Materials 01-04-5 3. Components 01-05-0 4. Paraxial optics 01-05-09 5.
Figure testing of 300 mm Zerodur mirrors at cryogenic temperatures
Figure testing of 300 mm Zerodur mirrors at cryogenic temperatures J. W. Baer, W. P. Lotz Ball Aerospace & Technologies Corp. PO Box 1062 Boulder, CO 80306 Keywords: mirrors, figure testing, cryogenic,
JSTSE : PREVIOUS YEARS
JSTSE : PREVIOUS YEARS (PHYSICS 2013) 1. What is the correct ascending order for frequencies of the following radiations? (1) Visible (2) X-rays (3) Ultra-violet (4) Radio waves (a) 1,3,2.4 (b) 3,2.4,1
Using a Membrane DM to Generate Zernike Modes
Using a Membrane DM to Generate Zernike Modes Author: Justin D. Mansell, Ph.D. Active Optical Systems, LLC Revision: 12/23/08 Membrane DMs have been used quite extensively to impose a known phase onto
15.9. Triple Integrals in Spherical Coordinates. Spherical Coordinates. Spherical Coordinates. Spherical Coordinates. Multiple Integrals
15 Multiple Integrals 15.9 Triple Integrals in Spherical Coordinates Copyright Cengage Learning. All rights reserved. Copyright Cengage Learning. All rights reserved. Triple Integrals in Another useful
Name. GEOL.5220 Structural Geology Faults, Folds, Outcrop Patterns and Geologic Maps. I. Properties of Earth Materials
I. Properties of Earth Materials GEOL.5220 Structural Geology Faults, Folds, Outcrop Patterns and Geologic Maps Name When rocks are subjected to differential stress the resulting build-up in strain can
CHARA Meeting 2017 Pasadena, California
MORE AUTOMATION Laszlo Sturmann M7 ACTUATORS LAB. LASER ALIGNMENT TELESCOPE OPTICAL ALIGNMENT NEW ACTUATORS REMOTELY ACTUATED M7 MOUNT MOTIVATION THE PRECISION OF THE COUDE ALIGNMENT WAS NOT SUFFICIENT
NEW BALANCING PRINCIPLES APPLIED TO CIRCUMSOLIDS OF REVOLUTION, AND TO n-dimensional SPHERES, CYLINDROIDS, AND CYLINDRICAL WEDGES
NEW BALANCING PRINCIPLES APPLIED TO CIRCUMSOLIDS OF REVOLUTION, AND TO n-dimensional SPERES, CYLINDROIDS, AND CYLINDRICAL WEDGES Tom M. Apostol and Mamikon A. Mnatsakanian 1 INTRODUCTION The sphere and
Chapter 3 Kinematics in Two Dimensions; Vectors
Chapter 3 Kinematics in Two Dimensions; Vectors Vectors and Scalars Addition of Vectors Graphical Methods (One and Two- Dimension) Multiplication of a Vector by a Scalar Subtraction of Vectors Graphical
MAE 322 Machine Design Lecture 2. Dr. Hodge Jenkins Mercer University
MAE 322 Machine Design Lecture 2 Dr. Hodge Jenkins Mercer University Statics Load Failure Theories to Understand Maximum Normal Stress (MNS) Maximum Shear Stress (MSS) Distortion Energy (DE) Coulomb-Mohr
CHAPTER 24 THE SAILINGS
CHAPTER 24 THE SAILINGS INTRODUCTION 2400. Introduction Dead reckoning involves the determination of one s present or future position by projecting the ship s course and distance run from a known position.
Chapter 24 Solutions The uniform field enters the shell on one side and exits on the other so the total flux is zero cm cos 60.
Chapter 24 Solutions 24.1 (a) Φ E EA cos θ (3.50 10 3 )(0.350 0.700) cos 0 858 N m 2 /C θ 90.0 Φ E 0 (c) Φ E (3.50 10 3 )(0.350 0.700) cos 40.0 657 N m 2 /C 24.2 Φ E EA cos θ (2.00 10 4 N/C)(18.0 m 2 )cos
10 Lecture, 5 October 1999
10 Lecture, 5 October 1999 10.1 Aberration compensation for spherical primaries: the Schmidt camera All-reflecting optical systems are called catoptric; all-refracting systems are called dioptric. Mixed
Lecture 7: The Beam Element Equations.
4.1 Beam Stiffness. A Beam: A long slender structural component generally subjected to transverse loading that produces significant bending effects as opposed to twisting or axial effects. MECH 40: Finite
Finite Element Analysis Prof. Dr. B. N. Rao Department of Civil Engineering Indian Institute of Technology, Madras. Module - 01 Lecture - 11
Finite Element Analysis Prof. Dr. B. N. Rao Department of Civil Engineering Indian Institute of Technology, Madras Module - 01 Lecture - 11 Last class, what we did is, we looked at a method called superposition
Progressive Addition Lenses
Characterizing the Optics of Progressive Addition Lenses Thomas Raasch, OD, PhD Ching Yao Huang, PhD, MS Mark Bullimore, MCOptom, PhD Allen Yi, PhD Lijuan Su, PhD T. Raasch 6/2/2011 1 Outline Background
Strength of Materials Prof. S.K.Bhattacharya Dept. of Civil Engineering, I.I.T., Kharagpur Lecture No.26 Stresses in Beams-I
Strength of Materials Prof. S.K.Bhattacharya Dept. of Civil Engineering, I.I.T., Kharagpur Lecture No.26 Stresses in Beams-I Welcome to the first lesson of the 6th module which is on Stresses in Beams
Modern Optics Prof. Partha Roy Chaudhuri Department of Physics Indian Institute of Technology, Kharagpur
Modern Optics Prof. Partha Roy Chaudhuri Department of Physics Indian Institute of Technology, Kharagpur Lecture 08 Wave propagation in anisotropic media Now, we will discuss the propagation of electromagnetic
The City School. Syllabus Breakup for Academic Year Class 9. Mathematics. First Term Syllabus Breakup Topic Objectives Resources
The City School Syllabus Breakup for Academic Year 2014-15 Class 9 All mentioned topics included in Final Term Exam Mathematics First Term Syllabus Breakup Topic Objectives Resources Recap of Previous
1. classic definition = study of deformed rocks in the upper crust
Structural Geology I. Introduction 1. classic definition = study of deformed rocks in the upper crust deformed includes translation, rotation, and strain (change of shape) All rocks are deformed in some
A Finite Element Study of Elastic-Plastic Hemispherical Contact Behavior against a Rigid Flat under Varying Modulus of Elasticity and Sphere Radius
Engineering, 2010, 2, 205-211 doi:10.4236/eng.2010.24030 Published Online April 2010 (http://www. SciRP.org/journal/eng) 205 A Finite Element Study of Elastic-Plastic Hemispherical Contact Behavior against
Optical/IR Observational Astronomy Telescopes I: Telescope Basics. David Buckley, SAAO
David Buckley, SAAO 27 Feb 2012 1 Some other Telescope Parameters 1. Plate Scale This defines the scale of an image at the telescopes focal surface For a focal plane, with no distortion, this is just related
CHAPTER 4: BENDING OF BEAMS
(74) CHAPTER 4: BENDING OF BEAMS This chapter will be devoted to the analysis of prismatic members subjected to equal and opposite couples M and M' acting in the same longitudinal plane. Such members are
(Refer Slide Time: 2:08 min)
Applied Mechanics Prof. R. K. Mittal Department of Applied Mechanics Indian Institute of Technology, Delhi Lecture No. 11 Properties of Surfaces (Contd.) Today we will take up lecture eleven which is a
NATIONAL 5 MATHEMATICS. Unit 1 Assessment Revision
NATIONAL 5 MATHEMATICS Unit 1 Assessment Revision Volume, Changing the Subject, Equations & Inequations, Simultaneous Equations, Fractions & Percentages, Arcs & Sectors Mr Miscandlon gw13miscandlondavid@glow.sch.uk
Week 4 Homework/Recitation: 9/21/2017 Chapter4: Problems 3, 5, 11, 16, 24, 38, 52, 77, 78, 98. is shown in the drawing. F 2
Week 4 Homework/Recitation: 9/1/017 Chapter4: Problems 3, 5, 11, 16, 4, 38, 5, 77, 78, 98. 3. Two horizontal forces, F 1 and F, are acting on a box, but only F 1 is shown in the drawing. F can point either
Prestress stability. Lecture VI. Session on Granular Matter Institut Henri Poincaré. R. Connelly Cornell University Department of Mathematics
Prestress stability Lecture VI Session on Granular Matter Institut Henri Poincaré R. Connelly Cornell University Department of Mathematics 1 Potential functions How is the stability of a structure determined
Engineering Mechanics Prof. U. S. Dixit Department of Mechanical Engineering Indian Institute of Technology, Guwahati Kinematics
Engineering Mechanics Prof. U. S. Dixit Department of Mechanical Engineering Indian Institute of Technology, Guwahati Kinematics Module 10 - Lecture 24 Kinematics of a particle moving on a curve Today,
Galaxy Morphology. - a description of the structure of galaxies
Galaxy Morphology - a description of the structure of galaxies Galaxy Morphology - a description of the structure of galaxies Galaxy Morphology - a description of the structure of galaxies Clearly astronomical
n The visual examination of the image of a point source is one of the most basic and important tests that can be performed.
8.2.11 Star Test n The visual examination of the image of a point source is one of the most basic and important tests that can be performed. Interpretation of the image is to a large degree a matter of
Lecture 5. Dynamics. Forces: Newton s First and Second
Lecture 5 Dynamics. Forces: Newton s First and Second What is a force? It s a pull or a push: F F Force is a quantitative description of the interaction between two physical bodies that causes them to
IMPROVING BEAM QUALITY NEW TELESCOPE ALIGNMENT PROCEDURE
IMPROVING BEAM QUALITY NEW TELESCOPE ALIGNMENT PROCEDURE by Laszlo Sturmann Fiber coupled combiners and visual band observations are more sensitive to telescope alignment problems than bulk combiners in
Circles. Parts of a Circle: Vocabulary. Arc : Part of a circle defined by a chord or two radii. It is a part of the whole circumference.
Page 1 Circles Parts of a Circle: Vocabulary Arc : Part of a circle defined by a chord or two radii. It is a part of the whole circumference. Area of a disc : The measure of the surface of a disc. Think
20. Aberration Theory
0. Aberration Theory Wavefront aberrations ( 파면수차 ) Chromatic Aberration ( 색수차 ) Third-order (Seidel) aberration theory Spherical aberrations Coma Astigmatism Curvature of Field Distortion Aberrations
Forces That Shape Earth. How do continents move? What forces can change rocks? How does plate motion affect the rock cycle?
Forces That Shape Earth How do continents move? What forces can change rocks? How does plate motion affect the rock cycle? Plate Motion Mountain ranges are produced by plate tectonics. The theory of plate
PHYS102 EXAM #1 February 17, MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
PHYS02 EXAM # February 7, 2005 Last Name First Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. ) A spherical metallic shell carries a charge
Ampere s Law. Outline. Objectives. BEE-Lecture Notes Anurag Srivastava 1
Outline Introduce as an analogy to Gauss Law. Define. Applications of. Objectives Recognise to be analogous to Gauss Law. Recognise similar concepts: (1) draw an imaginary shape enclosing the current carrying
Stamp Area. Earth Science - Note Packet #6. The shape of the Earth. The Earth is in shape.
Name: Earth Science - Note Packet #6 Mr. LaFranca s - Period Date: Aim: What are Latitude and Longitude? Do Now: Using the map, where is this location? Stamp Area X The shape of the Earth The Earth is
Dip-Sequence Analysis
Chapter 9 Dip-Sequence Analysis 9.1 Introduction The three-dimensional geometry of a structure can be determined from the bedding attitudes measured in a single well bore or on a traverse through a structure.
Monochromatic aberrations of the human eye in a large population
Porter et al. Vol. 18, No. 8/August 2001/J. Opt. Soc. Am. A 1793 Monochromatic aberrations of the human eye in a large population Jason Porter The Institute of Optics, University of Rochester, Rochester,
Deviations of Lambert-Beer s law affect corneal refractive parameters after refractive surgery
Deviations of Lambert-Beer s law affect corneal refractive parameters after refractive surgery José Ramón Jiménez, Francisco Rodríguez-Marín, Rosario González Anera and Luis Jiménez del Barco Departamento
Key Facts and Methods
Intermediate Maths Key Facts and Methods Use this (as well as trying questions) to revise by: 1. Testing yourself. Asking a friend or family member to test you by reading the questions (on the lefthand
Practice Test - Chapter 4
Find the value of x. Round to the nearest tenth, if necessary. 1. An acute angle measure and the length of the hypotenuse are given, so the sine function can be used to find the length of the side opposite.
Integrated Mathematics I, II, III 2016 Scope and Sequence
Mathematics I, II, III 2016 Scope and Sequence I Big Ideas Math 2016 Mathematics I, II, and III Scope and Sequence Number and Quantity The Real Number System (N-RN) Properties of exponents to rational
VISUAL OPTICS LABORATORY POWER MEASUREMENTS. Prof.Dr.A.Necmeddin YAZICI. GAZİANTEP UNIVERSITY OPTİCAL and ACOUSTICAL ENGINEERING DEPARTMENT
VISUAL OPTICS LABORATORY POWER MEASUREMENTS Prof.Dr.A.Necmeddin YAZICI GAZİANTEP UNIVERSITY OPTİCAL and ACOUSTICAL ENGINEERING DEPARTMENT http://opac.gantep.edu.tr/index.php/tr/ 1 SURFACE GEOMETRY 2 The
Quick Questions. 1. Two charges of +1 µc each are separated by 1 cm. What is the force between them?
92 3.10 Quick Questions 3.10 Quick Questions 1. Two charges of +1 µc each are separated by 1 cm. What is the force between them? 0.89 N 90 N 173 N 15 N 2. The electric field inside an isolated conductor
* AIT-4: Aberrations. Copyright 2006, Regents of University of California
Advanced Issues and Technology (AIT) Modules Purpose: Explain the top advanced issues and concepts in optical projection printing and electron-beam lithography. AIT-: LER and Chemically Amplified Resists
What is Geography? Lecture 1 The Earth As A Rotating Planet. What is Geography? What is geography? Subfields of Geography?
Lecture 1 The Earth As A Rotating Planet Geog210 Physical Geography What is Geography? Much more than place names and locations The study of spatial variation How and why things differ from place to place
Lecture 4-1 Physics 219 Question 1 Aug Where (if any) is the net electric field due to the following two charges equal to zero?
Lecture 4-1 Physics 219 Question 1 Aug.31.2016. Where (if any) is the net electric field due to the following two charges equal to zero? y Q Q a x a) at (-a,0) b) at (2a,0) c) at (a/2,0) d) at (0,a) and
1. (a) +EA; (b) EA; (c) 0; (d) 0 2. (a) 2; (b) 3; (c) 1 3. (a) equal; (b) equal; (c) equal e; (b) 150e 5. 3 and 4 tie, then 2, 1
CHAPTER 24 GAUSS LAW 659 CHAPTER 24 Answer to Checkpoint Questions 1. (a) +EA; (b) EA; (c) ; (d) 2. (a) 2; (b) 3; (c) 1 3. (a) eual; (b) eual; (c) eual 4. +5e; (b) 15e 5. 3 and 4 tie, then 2, 1 Answer
Chapter 24. Gauss s Law
Chapter 24 Gauss s Law Gauss Law Gauss Law can be used as an alternative procedure for calculating electric fields. Gauss Law is based on the inverse-square behavior of the electric force between point
Ohio s State Tests ITEM RELEASE SPRING 2018 INTEGRATED MATHEMATICS II
Ohio s State Tests ITEM RELEASE SPRING 2018 INTEGRATED MATHEMATICS II Table of Contents Content Summary and Answer Key... iii Question 1: Question and Scoring Guidelines... 1 Question 1: Sample Responses...
Lecture - 2A Instruments-I
Engineering Metrology Prof. J. Ramkumar Department of Mechanical Engineering & Design Programme Indian Institute of Technology, Kanpur Dr. Amandeep Singh Oberoi Department of Industrial & Production Engineering
University of Guelph. Department of Physics
Surname Given Names Student Number University of Guelph Department of Physics PHYS*1020DE Introductory Physics Instructor: R.L. Brooks Midterm Examination 26 February 2003 90 Minutes INSTRUCTIONS: This
Shear strength. Common cases of shearing In practice, the state of stress in the ground will be complex. Common cases of shearing Strength
Shear strength Common cases of shearing Strength Near any geotechnical construction (e.g. slopes, excavations, tunnels and foundations) there will be both mean and normal stresses and shear stresses. The
Advanced Strength of Materials Prof. S. K. Maiti Department of Mechanical Engineering Indian Institute of Technology, Bombay.
Advanced Strength of Materials Prof. S. K. Maiti Department of Mechanical Engineering Indian Institute of Technology, Bombay Lecture 32 Today we will talk about un symmetric bending. We have already studied
MAC-CPTM Situations Project
MAC-CPTM Situations Project Situation 07: Temperature Conversion Prepared at Pennsylvania State University Mid-Atlantic Center for Mathematics Teaching and Learning 9 June 200 Glen Blume Edited at Pennsylvania
Outline. Shape of the Earth. Geographic Coordinates (φ, λ, z) Ellipsoid or Spheroid Rotate an ellipse around an axis. Ellipse.
Map Projections Outline Geodesy and map projections Prof. D. Nagesh Kumar Department of Civil Engineering Indian Institute of Science Bangalore 560 012, India http://www.civil.iisc.ernet.in/~nagesh Shape
Orthonormal vector polynomials in a unit circle, Part I: basis set derived from gradients of Zernike polynomials
Orthonormal vector polynomials in a unit circle, Part I: basis set derived from gradients of ernike polynomials Chunyu hao and James H. Burge College of Optical ciences, the University of Arizona 630 E.
Distance and Midpoint Formula 7.1
Distance and Midpoint Formula 7.1 Distance Formula d ( x - x ) ( y - y ) 1 1 Example 1 Find the distance between the points (4, 4) and (-6, -). Example Find the value of a to make the distance = 10 units
The Spring-Mass Oscillator
The Spring-Mass Oscillator Goals and Introduction In this experiment, we will examine and quantify the behavior of the spring-mass oscillator. The spring-mass oscillator consists of an object that is free
13 Spherical geometry
13 Spherical geometry Let ABC be a triangle in the Euclidean plane. From now on, we indicate the interior angles A = CAB, B = ABC, C = BCA at the vertices merely by A, B, C. The sides of length a = BC
4. Constraints and Hydrogen Atoms
4. Constraints and ydrogen Atoms 4.1 Constraints versus restraints In crystal structure refinement, there is an important distinction between a constraint and a restraint. A constraint is an exact mathematical
When combining power functions into a single polynomial function, there are a few new features we like to look for, such as
Section 1.2 Characteristics of Polynomial Functions In section 1.1 we explored Power Functions, a single piece of a polynomial function. This modelling method works perfectly for simple real world problems
A FINITE ELEMENT STUDY OF ELASTIC-PLASTIC HEMISPHERICAL CONTACT BEHAVIOR AGAINST A RIGID FLAT UNDER VARYING MODULUS OF ELASTICITY AND SPHERE RADIUS
Proceedings of the International Conference on Mechanical Engineering 2009 (ICME2009) 26-28 December 2009, Dhaka, Bangladesh ICME09- A FINITE ELEMENT STUDY OF ELASTIC-PLASTIC HEMISPHERICAL CONTACT BEHAVIOR
Tuesday, February 11, Chapter 3. Load and Stress Analysis. Dr. Mohammad Suliman Abuhaiba, PE
1 Chapter 3 Load and Stress Analysis 2 Chapter Outline Equilibrium & Free-Body Diagrams Shear Force and Bending Moments in Beams Singularity Functions Stress Cartesian Stress Components Mohr s Circle for
Inspection of Welds in Small Pipes by NDT Ultrasonic Phased-Array techniques. Detection, positioning, sizing and classification of defects.
More info about this article: http://www.ndt.net/?id=22924 Inspection of Welds in Small Pipes by NDT Ultrasonic Phased-Array techniques. Detection, positioning, sizing and classification of defects. J.
Provided by Tasa Graphic Arts, Inc. for An Introduction to Structural Methods DVD-ROM
Provided by Tasa Graphic Arts, Inc. for An Introduction to Structural Methods DVD-ROM http://www.tasagraphicarts.com/progstruct.html AN INTRODUCTION TO STRUCTURAL METHODS - DETAILED CONTENTS: (Navigate
Foundation Engineering Prof. Dr N.K. Samadhiya Department of Civil Engineering Indian Institute of Technology Roorkee
Foundation Engineering Prof. Dr N.K. Samadhiya Department of Civil Engineering Indian Institute of Technology Roorkee Module 01 Lecture - 03 Shallow Foundation So, in the last lecture, we discussed the
Lecture 15 Strain and stress in beams
Spring, 2019 ME 323 Mechanics of Materials Lecture 15 Strain and stress in beams Reading assignment: 6.1 6.2 News: Instructor: Prof. Marcial Gonzalez Last modified: 1/6/19 9:42:38 PM Beam theory (@ ME
CE 221: MECHANICS OF SOLIDS I CHAPTER 1: STRESS. Dr. Krisada Chaiyasarn Department of Civil Engineering, Faculty of Engineering Thammasat university
CE 221: MECHANICS OF SOLIDS I CHAPTER 1: STRESS By Dr. Krisada Chaiyasarn Department of Civil Engineering, Faculty of Engineering Thammasat university Agenda Introduction to your lecturer Introduction
Since x + we get x² + 2x = 4, or simplifying it, x² = 4. Therefore, x² + = 4 2 = 2. Ans. (C)
SAT II - Math Level 2 Test #01 Solution 1. x + = 2, then x² + = Since x + = 2, by squaring both side of the equation, (A) - (B) 0 (C) 2 (D) 4 (E) -2 we get x² + 2x 1 + 1 = 4, or simplifying it, x² + 2
We look forward to working with you this school year!
Name: Summer Review Packet for Students Entering IB MATH SL Year 2 Directions: Complete all pages in this review. Show all work for credit. You may get video help and instruction via YouTube for the topics
Optical Shop Testing
Optical Shop Testing nd Edition (199 ) Edited by Daniel Malacara 1 OUTLINE Chapter 1. Newton, Fizeau, and Haidinger Interferometer 1.1 1. Fizeau Interferometer 1.3 Haidinger Interferometer 1.4 Absolute
Modern Navigation. Thomas Herring
12.215 Modern Navigation Thomas Herring Today s Class Latitude and Longitude Simple spherical definitions Geodetic definition: For an ellipsoid Astronomical definition: Based on direction of gravity Relationships
Making FEA Results Useful in Optical Analysis Victor Genberg, Gregory Michels Sigmadyne, Inc. Rochester, NY
Making FEA Results Useful in Optical Analysis Victor Genberg, Gregory Michels Sigmadyne, Inc. Rochester, NY Keith Doyle Optical Research Associates,Westborough, MA ABSTRACT Thermal and structural output