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Gunnar Schmidtmann - Clinical Vision Science: A Concise Guide to Numbers, Laws, and Formulas

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Gunnar Schmidtmann Clinical Vision Science: A Concise Guide to Numbers, Laws, and Formulas
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This book provides a concise and user-friendly guide to the most common and important numbers, laws and formulas in clinical vision science. Clinicians and trainees in ophthalmology, optometry, orthoptics, and ophthalmic dispensing, who are seeking an easy-to-use lab coat pocket size resource, will find this book to be an essential reference in clinical practice. Clinical Vision Science: A Concise Guide to Numbers, Laws, and Formulas is clearly structured into basics, physical optics, visual optics and ophthalmic lenses, optical instruments, photometry, visual perception, clinical procedures, and anatomy & binocular vision. Each chapter contains a range of tables, formulas, large illustrations and flow charts to allow readers to quickly and accurately find key facts for each type of examination procedure.

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Gunnar Schmidtmann Clinical Vision Science A Concise Guide to Numbers Laws - photo 1
Gunnar Schmidtmann
Clinical Vision Science
A Concise Guide to Numbers, Laws, and Formulas
Gunnar Schmidtmann School of Health Professions Peninsula Allied Health - photo 2
Gunnar Schmidtmann
School of Health Professions, Peninsula Allied Health Centre, University of Plymouth, Plymouth, UK
ISBN 978-3-030-35339-1 e-ISBN 978-3-030-35340-7
https://doi.org/10.1007/978-3-030-35340-7
Springer Nature Switzerland AG 2020
This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed.
The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.
The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This Springer imprint is published by the registered company Springer Nature Switzerland AG

The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

This book is dedicated to my parents Sylvia and Wolfgang Schmidtmann.

Preface

Students, trainees and clinicians in optometry, ophthalmology and related subjects are often confronted with a vastness of numbers, units and procedures to memorise and to recall during their studies, for exam preparations and in practice. A small handbook that fits into a lab coat pocket would be the ideal resource to quickly refresh the knowledge. This handbook serves as a quick guide for the most important facts, numbers, laws and clinical procedures for students and clinicians in the clinical vision sciences. It is aimed at students and trainees in optometry, orthoptics, ophthalmology and vision science.

The book contains short chapters covering many domains ranging from physical optics to anatomy and clinical procedures. Each chapter comprises of clearly arranged tables, formulas with explanations, custom-made illustrations and flow charts, which are designed to demonstrate complex concepts in a comprehensive way. Particularly, important facts are highlighted in orange boxes. It is important to emphasise that this handbook does not replace a textbook in any of the covered topics. I therefore provide a list of further readings at the end of each chapter. Plymouth, UK Gunnar Schmidtmann September 2019.

Acknowledgements

I would like to thank the students at the University of Plymouth who inspired me to write this book and who provided useful feedback. I am particularly grateful to my colleague and friend Paul Artes for his support and encouragement. Further, I would like to thank Sae Bom Ra from Adelphi University for the beautiful anatomical illustrations in Chap..

Contents
List of Figures
List of Tables
Springer Nature Switzerland AG 2020
G. Schmidtmann Clinical Vision Science https://doi.org/10.1007/978-3-030-35340-7_1
1. Basics
Gunnar Schmidtmann
(1)
School of Health Professions, Peninsula Allied Health Centre, University of Plymouth, Plymouth, UK
Gunnar Schmidtmann
Email:

A good understanding of fundamental mathematical concepts is essential to understand physical and visual optics. This chapter seeks to introduce the essential mathematical and physical principles, units and conversions that will be useful throughout your studies and beyond.

1.1 Greek Alphabet
See Table .
Table 1.1

The Greek alphabet

A

Alpha

I

Iota

P

Rho

B

Beta

K

Kappa

Sigma

Gamma

Lambda

T

Tau

Delta

M

Mu

Upsilon

E

Epsilon

N

Nu

Phi

Z

Zeta

Xi

X

Chi

H

Eta

oO

Omicron

Psi

Theta

Pi

Omega

1.2 Angular Measures
1.2.1 Degree to Radian
11 122 Radian to Degree 12 123 Degree Arc Minute and A - photo 3
(1.1)
1.2.2 Radian to Degree
12 123 Degree Arc Minute and Arc Second 1 60 arc min 1 60 arc - photo 4
(1.2)
1.2.3 Degree, Arc Minute and Arc Second

1 = 60 [arc min]

1 = 60 [arc sec]

1.3 Pythagorean Theorem

See Figure .

Figure 11 Pythagorean theorem The figure shows a right triangle where the - photo 5
Figure 1.1

Pythagorean theorem. The figure shows a right triangle, where the side a denotes the opposite, b the adjacent and c the hypotenuse. The squares illustrate the mathematical operation of squaring each side (i.e. a2, b2, c2)

13 14 Trigonometry See Figure Figure 12 The unit circle is a - photo 6
(1.3)
1.4 Trigonometry

See Figure .

Figure 12 The unit circle is a circle with a unit radius of one centered at - photo 7
Figure 1.2

The unit circle is a circle with a unit radius of one centered at the origin (0, 0). The angle denotes the central angle ranging from 0 to 2 in radian or 0 to 360 in degrees. The figure also shows the most important trigonometric functions of , where refers to the sine to the cosine and - photo 8

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