{"title":"Waves","authors":"B. Guenther","doi":"10.1093/oso/9780198842859.003.0001","DOIUrl":"https://doi.org/10.1093/oso/9780198842859.003.0001","url":null,"abstract":"A description of the solution of the wace equation is described as a wave that propagates without change. The set of parameters needed to describe a wave are: period, frequency, wave number, wavelength, and phase velocity. We will use a plane harmonic wave In 3 dimensions in all of our discussions and use complex notation to make the math simplier. We show we are justified in using such a simple wave by the fact that Foourier Theory allows us to construct any wave as a series of hamonics of the plane wave. The theory also will be needed in our discussion of defraction and imaging. There are a few topics that are more difficult and are marked. Their discussion can be skipped without loss of understanding of the general theory of optics.","PeriodicalId":236751,"journal":{"name":"Modern Optics Simplified","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123972359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fraunhofer Diffraction","authors":"B. Guenther","doi":"10.1093/acprof:oso/9780198738770.003.0010","DOIUrl":"https://doi.org/10.1093/acprof:oso/9780198738770.003.0010","url":null,"abstract":"We will develop a simple derivation of the Huygens-Fresnel integral based on an application of Huygens’ Principle and on the addition of waves to calculate an interference field starting with two apertures as in Young’s two slit experiment extending to N apertures and then a continuum distribution. A detailed look is made of the obliquity factor and a constant value is derived to be used in the simple derivation. We use one dimensional theory for most of the discussion but do present the results of diffraction from a circular aperture as it will be needed in our later discussion of imaging. A second description of the propagation of light, useful when using laser light sources, the gaussian wave, is introduced and examples are given of the use of the theory in geometrical optics and laser design.","PeriodicalId":236751,"journal":{"name":"Modern Optics Simplified","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116707670","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Imaging","authors":"B. Guenther","doi":"10.1093/oso/9780198842859.003.0011","DOIUrl":"https://doi.org/10.1093/oso/9780198842859.003.0011","url":null,"abstract":"Treating an imaging system as a linear system and use llinear system properties to d iscuss both coherent and incoherent imaging. Use a one dimensional pin hole camera to study the theory of incoherent imaging. Two different criteria, Rayleigh and Sparrow, are used to define the resolution limits of the camera. From the simple theory define the optical transfer function and the modulation transfer function as appropriate characterizations of complex imaging systems. A review of the human imaging system emphasizes tits idfferences with man made cameras. Coherent imaging is based on Abbe’s theory of microscopy. A simple 4f imaging system can be used to understand how spatial resolution is limited by the optical aperture and by controlling the aperture, we can enhance the edges of an image or remove noise intensity noise on a plane wave. Apodizing the aperture allows astronomers to locate planents orbiting distant stars.","PeriodicalId":236751,"journal":{"name":"Modern Optics Simplified","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133701976","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Guided Waves","authors":"B. Guenther","doi":"10.1093/oso/9780198842859.003.0008","DOIUrl":"https://doi.org/10.1093/oso/9780198842859.003.0008","url":null,"abstract":"Use a one-dimension theory based on the normal to a plane wave to evaluate the propagation of light in a dielectric layer. If the ray strikes the walls of the guide it must meet the condition for total reflection. The theory, called the zigzag model, is not a “pure” geometric theory because we use the properties of interference and of phase change upon total reflection that we derived using wave theory. The theory predicts that the rays propagating down the guide can only strike the walls at discrete angles. These angles are the modes of the guide. The theory allows us to calculate the number of bounces/unit length the ray can make. We show limitaitons on coupling energy into the guided modes and the numerical aperture of a mode. We discuss losses and dispersion in the guide and introduce photonic crystals that allow hollow guides to be constructed.","PeriodicalId":236751,"journal":{"name":"Modern Optics Simplified","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128989496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Interference and Coherence","authors":"B. Guenther","doi":"10.1093/oso/9780198842859.003.0004","DOIUrl":"https://doi.org/10.1093/oso/9780198842859.003.0004","url":null,"abstract":"The superposition principle states that the sum of solutions of the wave equation is also a solution. Linearity forbids scattering of one photon by another and waves with orthogonal polarization will not interfer and if no interference is observed the light is said to be incoherent. There is no record carried by any of the waves to indicate outside of the overlap region that the waves ever commingled. Interference involve dielectric layers can produce antireflection coatings. Michelson interferometer, temporal coherence and its use in spectroscopy. The interferometer coupled with a light source with well defined coherence properties are currently used in optical coherence imaging. With multiple reflections a Fabry Perot interferometer can be created to provide optical feedback in a laser. Young’s two slits interferometer can be used to measure the size of distant stars.","PeriodicalId":236751,"journal":{"name":"Modern Optics Simplified","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131502409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Polarizers","authors":"B. Guenther","doi":"10.1093/oso/9780198842859.003.0005","DOIUrl":"https://doi.org/10.1093/oso/9780198842859.003.0005","url":null,"abstract":"Introduction to how to measure polarization and the degree of polarization, The various physical processes used to control polarization including: absorption, reflection, interference, and birefringence. An explaination of the operation of a wire grid and its molecular equivalent, a polaroid plastic are given. Fresnel formula for reflection is used to calculate the Stokes component of the reflected light. A brief introduction to the concept of birefringence is given and the various designs of birefringent prism polarizers are listed with their advantanges and shortcomings. A sample design of a prism polarizer is given. Quarter wave and half wave retarders and their use are discussed. An optional section is devoted to optical activity and the use of chiral measurements in chemistry and drug manufacturing are discussed.","PeriodicalId":236751,"journal":{"name":"Modern Optics Simplified","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129635837","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fresnel Diffraction","authors":"B. Guenther","doi":"10.1093/oso/9780198842859.003.0010","DOIUrl":"https://doi.org/10.1093/oso/9780198842859.003.0010","url":null,"abstract":"Fresnel diffraction is discussed in terms of a description of waves traveling near the stationary point. That is the point that lies on a line connecting the source and the observation point. We discuss a rectangular aperture using Fresnel integrals or graphicly using the Cornu Spiral We discuss a circular aperture in terms of Fresnel zones and we develop a simple formula for the calculation of the radius of a Fresnel zone. Using the concept of Fresnel zones we develop an expalination of Fermat’s Principle and explain the origin of Poisson’t spot. The Fresnel zones generate an understanding of the operation of the pinhole camera.","PeriodicalId":236751,"journal":{"name":"Modern Optics Simplified","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115483399","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Electromagnetic Theory","authors":"B. D. Guenther","doi":"10.1093/oso/9780198842859.003.0002","DOIUrl":"https://doi.org/10.1093/oso/9780198842859.003.0002","url":null,"abstract":"The theory of light is described by Maxwell’s Equationsand they provide information about the fundamental properties of light. The wave equation is contained within Maxwell’s equations and proof is provided but is an example of a topic that can be skipped. The electromagnetic wave is a transverse wave of both the electric and magnetic field which are also mutually perpendicular. We discuss some of the differences between classical and quantum theory of light but restrict the use of classical wave theory in this text. The classical electromagnetic wave has a momentum that has led to the development of optical twezzers of great use in biological motors. Because the amplitude of the electromagnetic wave is a vector quantity we introduce the concept of polarization to describe the vector properties. We will need the capability in our discussion of reflection.","PeriodicalId":236751,"journal":{"name":"Modern Optics Simplified","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130414530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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