Error Simulations of Uncorrected NDVI and DCVI During Remote Sensing Measurements from UAS

Total Page:16

File Type:pdf, Size:1020Kb

Error Simulations of Uncorrected NDVI and DCVI During Remote Sensing Measurements from UAS MISCELLANEA GEOGRAPHICA – REGIONAL STUDIES ON DEVELOPMENT Vol. 18 • No. 2 • 2014 • pp. 35-45 • ISSN: 2084-6118 • DOI: 10.2478/mgrsd-2014-0017 Error simulations of uncorrected NDVI and DCVI during remote sensing measurements from UAS Abstract Remote sensing from unmanned aerial systems (UAS) has been gaining Michał T. Chiliński1 popularity in the last few years. In the field of vegetation mapping, digital Marek Ostrowski2 cameras converted to calculate vegetation index (DCVI) are one of the most popular sensors. This paper presents simulations using a radiative transfer model (libRadtran) of DCVI and NDVI results in an environment of 1Department of Geoinformation and Remote Sensing possible UAS flight scenarios. The analysis of the results is focused on the Faculty of Geography and Regional Studies comparison of atmosphere influence on both indices. The results revealed University of Warsaw, uncertainties in uncorrected DCVI measurements up to 25% at the altitude Institute of Geophysics of 5 km, 5% at 1 km and around 1% at 0.15 km, which suggests that DCVI University of Warsaw can be widely used on small UAS operating below 0.2 km. e-mail: [email protected] Keywords 2Laboratory of Image-based Information and Modelling Remote sensing • vegetation index • digital camera • UAS • atmospheric Faculty of Biology correction University of Warsaw © University of Warsaw – Faculty of Geography and Regional Studies e-mail: [email protected] Received: 14 November 2013 Accepted: 8 April 2014 Introduction The last decade has been a period of rapid increase in the the infrared and red channels, the infrared and blue channels are application of the lightweight unmanned aerial system (UAS) in used. Digital cameras usually have a colour filter array (Bayer areas such as science, farming and emergency management filter) which splits the CCD/CMOS matrix into a mosaic of blue, (Hunt et al. 2005; Lelong et al. 2008; Nebiker et al. 2008; Rango et al. 2009; green and red pixels, which usually works in the following ranges: Hardin & Hardin 2010; Xiang & Tian 2011; Zahng & Kovacs 2012). Today, 400–525, 500–625, 600–700 [nm] with overlapping regions. After UAS are cheap, very mobile, and easy to pilot, enabling extremely the removal of the IR-filter, red pixels register 600–825 [nm] – quick preparation of measurements and low operational costs. both red and IR channels. To receive two separated channels, From this perspective, it is the best method for measurements colour filters which block light between ~450–700 nm are used with a lightweight sensor for low altitudes. UAS are a solution (for example: SCHOTT BG3, Rosco #2007 VS BLUE). Pictures for aerial imagery in restricted areas of developed countries, taken with such filters have the IR channel registered on red where full-size research planes are prohibited; they also make pixels, the blue channel on blue pixels and the green pixels are it possible to conduct measurements from the sky in developing dark (as a separation between channels). During a conference countries, which do not have sufficient resources for a fleet of where methods of calculating the vegetation index from digital full-size planes. cameras were presented, many scientists (XX Polish Conference Due to the smaller size of UAS in comparison to regular on Photointerpretation and Remote Sensing, Warsaw, 2010; XXI research planes, they can carry a smaller payload, which means Polish Conference on Photointerpretation and Remote Sensing, that many aerial sensors cannot be used in UAS. The costs of Toruń, 2012) disagreed on applying the name of NDVI to both development and production of remote sensing devices are indices. Therefore, for the purpose of this paper the vegetation significant, making end-user prices higher than the costs of flying index calculated from digital camera pictures with the infrared platforms. In such a situation, a common practice is using simpler and blue channel is called the Digital Camera Vegetation Index sensors, i.e. home-made ones, made from mass production units. (DCVI). In Figure 1 examples of DCVI pictures are presented. An example of a sensor made from a standard consumer The modifications to digital cameras required for acquiring product is a digital camera, without an IR filter (hot mirror), DCVI mosaics are easy and inexpensive. Moreover, they can equipped with a colour filter, with the ability to register the near usually be made by scientists themselves, although certain infrared spectrum range, which can be used for the calculation of a companies offer ready-modified devices. The availability of vegetation condition index. The vegetation index calculated from these cameras is increasing and their popularity is growing the data obtained from a digital camera is a differential normalized constantly. The increase in DCVI usage, however, does not index, calculated in the same way as the Normalized Differential entail the development of special software for processing the Vegetation Index (NDVI) (Rouse et al. 1973); however, instead of pictures and the RAW data for the purpose of calculating the 35 MISCELLANEA GEOGRAPHICA – REGIONAL STUDIES ON DEVELOPMENT Vol. 18 • No. 2 • 2014 • pp. 35-45 • ISSN: 2084-6118 • DOI: 10.2478/mgrsd-2014-0017 Figure 1. Examples of DCVI pictures taken from UAS (A: tundra) and full-sized plane (B: agricultural area). Photos by M. Chiliński vegetation indices. Hence, their users have to prepare their invention NDVI has been very intensively used for monitoring the own programming solutions, such as script examples from the condition and cover of vegetation from many types of satellite camera modifiers, or simple codes extracted from the Internet and airborne sensors (Tucker et al. 1986; Running 1990; Myneni et al. (Fisher et al. 2012). The pictures from UAS are primarily used for 1997; Ichii et al. 2001; Burgheimer et al. 2006). Figure 2a presents the orthophotomosaics, and thus there is software on the market reflectance of a fresh standardized leaf and how it changes at 4, dedicated to mosaicking and orthorectification of images from 7 and 24 hours after picking. In the same figure, the MSS bands non-photogrametric cameras. However, there is still a significant used to calculate NDVI are presented. DCVI uses exactly the problem with the use of remote sensing software packages for same formula, but with the blue channel instead of the red one, performing radiometric corrections and removing the influence of which is depicted in Figure 2b. the atmosphere on measurements. This leads to a situation in There are three main types of interaction between radiation which most DCVI mosaics are calculated without any atmospheric and matter: absorption, emission and scattering (diffraction, corrections. refraction, reflection), all of which lead to a change in propagation This paper describes the results of simulations with a radiative direction. One effect of absorption is the weakening intensity of transfer model, presents the possible impact of the atmosphere radiation passing through matter. In this process, energy can on DCVI mosaics, shows how varied that influence is for different be absorbed only in strictly defined quanta, depending on the altitudes, and focuses on the geometry of sun-target-sensor. The frequency of the radiation (Formula 2). main goal is to compare the sensitivity of DCVI and NDVI for the interaction of radiation with the atmosphere, and to determine the (2) parameter areas where the use of DCVI without any corrections can give reliable results. Different molecules, owing to their composition, absorb NDVI is one of the simplest and most popular remote sensing different energy photons, which are usually represented by the methods used for the assessment of vegetation condition. It is characteristic absorption spectra distinct for every substance. based on the difference between the red and infrared radiances Different characteristic regions are found in UV, visible, infrared, reflected by the vegetation. The amount of radiation in both TIR or microwaves. The composition of the Earth’s atmosphere channels depends on the biophysical characteristics of the results in the presented absorption spectra (Figure 3). It can be vegetation. To ensure the data was independent of the sun zenith noted that the clear atmosphere is nearly 100% transparent in the angle, the calculated index was normalized by dividing it by the 400–700 nm range, known as visible light. sum of radiance in both of the used channels (Formula 1). The process of scattering leads to a change in radiation propagation direction. There are two types of scattering: (1) (1) elastic, where the frequency of scattered radiation is the same as before the scattering; and (2) nonelastic, during which a change NDVI has values from -1 to 1, where values around -1 of frequency occurs. In the case of remote sensing, elastic correspond to water, values around 0 correspond to bare soil, scattering is dominant. The characteristics of scattering depend urban areas and rocks, and positive values above 0.3 represent on a unit-less parameter, i.e. the ratio of the scattering particle vegetation. Lower values (0.3–0.5) are common for grasslands size and the wavelength of the resulting radiation (Formula 3). and lower vegetation. Higher values (up to 1) represent intensive green areas, such as temperate and tropical rain forests. The (3) biological foundations of NDVI are based on the very high reflectance of vegetation in the near infrared (750–950 nm), and Rayleigh scattering occurs in a situation where x<<1. The strong absorption in the red (650–700 nm). The reflectance in insensitivity of the scattered radiation in the Rayleigh process is the infrared for vegetation is five times greater than in the visible inversely proportional to the fourth power of the wavelength, which spectra, where the highest reflectance is observed in the green. leads to a substantially greater scattering for shorter wavelengths When a plant becomes dry, its cell structure changes, which leads (mainly the UV and blue light) (Formula 4).
Recommended publications
  • An Atmospheric Radiation Model for Cerro Paranal
    Astronomy & Astrophysics manuscript no. nolletal2012a c ESO 2012 May 10, 2012 An atmospheric radiation model for Cerro Paranal I. The optical spectral range⋆ S. Noll1, W. Kausch1, M. Barden1, A. M. Jones1, C. Szyszka1, S. Kimeswenger1, and J. Vinther2 1 Institut f¨ur Astro- und Teilchenphysik, Universit¨at Innsbruck, Technikerstr. 25/8, 6020 Innsbruck, Austria e-mail: [email protected] 2 European Southern Observatory, Karl-Schwarzschild-Str. 2, 85748 Garching, Germany Received; accepted ABSTRACT Aims. The Earth’s atmosphere affects ground-based astronomical observations. Scattering, absorption, and radiation processes dete- riorate the signal-to-noise ratio of the data received. For scheduling astronomical observations it is, therefore, important to accurately estimate the wavelength-dependent effect of the Earth’s atmosphere on the observed flux. Methods. In order to increase the accuracy of the exposure time calculator of the European Southern Observatory’s (ESO) Very Large Telescope (VLT) at Cerro Paranal, an atmospheric model was developed as part of the Austrian ESO In-Kind contribution. It includes all relevant components, such as scattered moonlight, scattered starlight, zodiacal light, atmospheric thermal radiation and absorption, and non-thermal airglow emission. This paper focuses on atmospheric scattering processes that mostly affect the blue (< 0.55 µm) wavelength regime, and airglow emission lines and continuum that dominate the red (> 0.55 µm) wavelength regime. While the former is mainly investigated by means of radiative transfer models, the intensity and variability of the latter is studied with a sample of 1186 VLT FORS 1 spectra. Results. For a set of parameters such as the object altitude angle, Moon-object angular distance, ecliptic latitude, bimonthly period, and solar radio flux, our model predicts atmospheric radiation and transmission at a requested resolution.
    [Show full text]
  • Arxiv:1710.01658V1 [Physics.Optics] 4 Oct 2017 to Ask the Question “What Is the RI of the Small Parti- Cles Contained in the Inhomogeneous Sample?”
    Extinction spectra of suspensions of microspheres: Determination of spectral refractive index and particle size distribution with nanometer accuracy Jonas Gienger,∗ Markus Bär, and Jörg Neukammer Physikalisch-Technische Bundesanstalt (PTB), Abbestraße 2–12, 10587 Berlin, Germany (Dated: Compiled October 5, 2017) A method is presented to infer simultaneously the wavelength-dependent real refractive index (RI) of the material of microspheres and their size distribution from extinction measurements of particle suspensions. To derive the averaged spectral optical extinction cross section of the microspheres from such ensemble measurements, we determined the particle concentration by flow cytometry to an accuracy of typically 2% and adjusted the particle concentration to ensure that perturbations due to multiple scattering are negligible. For analysis of the extinction spectra we employ Mie theory, a series-expansion representation of the refractive index and nonlinear numerical optimization. In contrast to other approaches, our method offers the advantage to simultaneously determine size, size distribution and spectral refractive index of ensembles of microparticles including uncertainty estimation. I. INTRODUCTION can be inferred from measurements of the scattering and absorption of light by the particles. The refractive index (RI) describes the refraction of a A reference case is that of homogeneous spheres de- beam of light at a (macroscopic) interface between any scribed by a single refractive index, since an analytical two materials. Consequently, a variety of experimental solution for the mathematical problem of light scatter- methods exist for measuring the RI of a material that rely ing exists for this class of particles (Mie theory) [12, 13]. on the refraction or reflection of light at a planar interface This makes the analysis of light scattering data feasible between the sample and some other known material, such and at the same time is a good approximation for many as air, water or an optical glass.
    [Show full text]
  • 12 Light Scattering AQ1
    12 Light Scattering AQ1 Lev T. Perelman CONTENTS 12.1 Introduction ......................................................................................................................... 321 12.2 Basic Principles of Light Scattering ....................................................................................323 12.3 Light Scattering Spectroscopy ............................................................................................325 12.4 Early Cancer Detection with Light Scattering Spectroscopy .............................................326 12.5 Confocal Light Absorption and Scattering Spectroscopic Microscopy ............................. 329 12.6 Light Scattering Spectroscopy of Single Nanoparticles ..................................................... 333 12.7 Conclusions ......................................................................................................................... 335 Acknowledgment ........................................................................................................................... 335 References ...................................................................................................................................... 335 12.1 INTRODUCTION Light scattering in biological tissues originates from the tissue inhomogeneities such as cellular organelles, extracellular matrix, blood vessels, etc. This often translates into unique angular, polari- zation, and spectroscopic features of scattered light emerging from tissue and therefore information about tissue
    [Show full text]
  • Scattering and Absorption by Spherical Particles. Objectives: 1
    Lecture 15. Light scattering and absorption by atmospheric particulates. Part 2: Scattering and absorption by spherical particles. Objectives: 1. Maxwell equations. Wave equation. Dielectrical constants of a medium. 2. Mie-Debye theory. 3. Volume optical properties of an ensemble of particles. Required Reading : L02: 5.2, 3.3.2 Additional/Advanced Reading : Bohren, G.F., and D.R. Huffman, Absorption and scattering of light by small particles. John Wiley&Sons, 1983 (Mie theory derivation is given on pp.82-114, a hardcopy will be provided in class) 1. Maxwell equations. Wave equation. Dielectrical constants of a medium. r Maxwell equations connect the five basic quantities the electric vector, E , magnetic r r r vector, H , magnetic induction, B , electric displacement, D , and electric current r density, j : (in cgs system) r r 1 ∂D 4π r ∇ × H = + j c ∂t c r r − 1 ∂ B ∇ × E = [15.1] c ∂ t r ∇ • D = 4πρ r ∇ • B = 0 where c is a constant (wave velocity); and ρρρ is the electric charge density. To allow a unique determination of the electromagnetic field vectors, the Maxwell equations must be supplemented by relations which describe the behavior of substances under the influence of electromagnetic field. They are r r r r r r j = σ E D = ε E B = µ H [15.2] where σσσ is called the specific conductivity ; εεε is called the dielectrical constant (or the permittivity ), and µµµ is called the magnetic permeability. 1 Depending on the value of σ, the substances are divided into: conductors: σ ≠ 0 (i.e., σ is NOT negligibly small), (for instance, metals) dielectrics (or insulators): σ = 0 (i.e., σ is negligibly small), (for instance, air, aerosol and cloud particulates) Let consider the propagation of EM waves in a medium which is (a) uniform, so that ε has the same value at all points; (b) isotropic, so that ε is independent of the direction of propagation; (c) non-conducting (dielectric), so that σ = 0 and therefore j =0; (d) free from charge, so that ρρρ =0.
    [Show full text]
  • Rayleigh & Mie Scattering Cross Section Calculations And
    Rayleigh & Mie scattering cross section calculations and implications for weather radar observations 1 Learning Objectives The following are the learning objectives for this assignment: • Familiarize yourself with some basic concepts related to radio wave scattering, absorption, and radar cross sections • Become acquainted with some of the fundamental definitions and foundations connected with the Mie theory • Explore under what conditions the Rayleigh approximation can be applied and to what extent it accurately represents radio wave scatter and absorption • Study the dependence of various radar cross sections on wavelength and temperature 2 Introduction As electromagnetic radiation propagates though our atmosphere, it interacts with air molecules, dust particles, water vapor, rain, ice particles, insects, and a host of other entities. These interac- tions result primarily in the form of scatter and absorption, both of which are important for remote sensing studies of the atmosphere. Typically, the degree to which a “target” can scatter or absorb electromagnetic radiation is described through its cross section σ. When a target is illuminated by a wave having a power density (irradiance) given by Si, it will scatter/absorb a portion of the wave. The cross section represents an apparent area, used to describe by what amount the radiation interacts with the target. An observer located at a particular location (described by θ and φ with respect to the wave’s propagation vector) will be detect radiation scattered by the target with a power density given by by Sr. Assuming that the target has scattered the incident electromagnetic radiation isotropically, then the cross section σ can be directly calculated using S (θ; φ) σ(θ; φ) = 4πr2 r ; (1) Si where r is the distance between the target and the observer.
    [Show full text]
  • Measured Light-Scattering Properties of Individual Aerosol Particles Compared to Mie Scattering Theory
    Measured Light-Scattering Properties of Individual Aerosol Particles Compared to Mie Scattering Theory R. G. Pinnick, J. M. Rosen, and D. J. Hofmann Monodispersed spherical aerosols of 0.26-2-iu diameter with approximate range of indexes of refraction of atmospheric aerosols have been produced in the laboratory by atomization of liquids with a vibrating capillary. Integrated light scattered 8 through 38 degrees from the direction of forward scattering has been measured with a photoelectric particle counter and compared to Mie theory calculations for parti- cles with complex indexes of refraction 1.4033-Oi, 1.592-0i, 1.67-0.26i, and 1.65-0.069i. The agreement is good. The calculations take into account the particle counter white light illumination with color temper- ature 3300 K, the optical system geometry, and the phototube spectral sensitivity. It is shown that for aerosol particles of unknown index of refraction the particle counter size resolution is poor for particle size greater than 0.5 A,but good for particles in the 0.26-0.5-u size range. Introduction ed by the method of atomization of liquids using a vibrating capillary by Dimmock,4 Mason and Light-scattering aerosol counters have long been 5 6 used for aerosol measuirement. However, determina- Brownscombe, Strdm, and others. However, these tion of particle size from the counter response for efforts have not produced an aerosol of less than 1 u single particles is difficult because of the complicat- in diameter. With the technique described here, ed dependence of the response on particle size, parti- monodisperse aerosols of 0.26-2 At in diameter have cle index of refraction, lens geometry of the counter been generated.
    [Show full text]
  • Modeling Scattered Intensities for Multiple
    MODELING SCATTERED INTENSITIES FOR MULTIPLE PARTICLE TIRM USING MIE THEORY A Thesis by ADAM L. ALLEN Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE August 2006 Major Subject: Biomedical Engineering MODELING SCATTERED INTENSITIES FOR MULTIPLE PARTICLE TIRM USING MIE THEORY A Thesis by ADAM L. ALLEN Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE Approved by: Chair of Committee, Kenith Meissner Committee Members, Michael A. Bevan Gerard L. Coté Head of Department, Gerard L. Coté August 2006 Major Subject: Biomedical Engineering iii ABSTRACT Modeling Scattered Intensities for Multiple Particle TIRM Using Mie Theory. (August 2006) Adam L. Allen, B.S., Texas A&M University Chair of Advisory Committee: Dr. Kenith Meissner Single particle TIRM experiments measure particle-surface separation distance by tracking scattered intensities. The scattered light is generated by an evanescent wave interacting with a levitating microsphere. The exponential decay of the evanescent wave, normal to the surface, results in scattered intensities that vary with separation distance. Measurement of the separation distance allows us to calculate the total potential energy profile acting on the particles. These experiments have been shown to exhibit nanometer spatial resolution and the ability to detect potentials on the order of kT with no external treatment of the particle. We find that the separation distance is a function of the decay of the evanescent wave and the size of the sphere.
    [Show full text]
  • Computing the Scattering Properties of Participating Media Using Lorenz-Mie Theory
    Preprint. To appear at SIGGRAPH 2007. Computing the Scattering Properties of Participating Media Using Lorenz-Mie Theory Jeppe Revall Frisvad1 Niels Jørgen Christensen1 Henrik Wann Jensen2 1Informatics and Mathematical Modelling, Technical University of Denmark 2University of California, San Diego Figure 1: Rendered images of the components in milk as well as mixed concentrations. The optical properties of the components and the milk have been computed using the generalization of the Lorenz-Mie theory presented in this paper. From left to right the glasses contain: Water, water and vitamin B2, water and protein, water and fat, skimmed milk, regular milk, and whole milk. Abstract 1 Introduction This paper introduces a theoretical model for computing the scatter- Participating media and scattering materials are all around us. Ex- ing properties of participating media and translucent materials. The amples include the atmosphere, ocean water, clouds, and translu- model takes as input a description of the components of a medium cent materials such as milk, ice, and human skin. In order to ren- and computes all the parameters necessary to render it. These pa- der these media, it is necessary to know the optical properties that rameters are the extinction and scattering coefficients, the phase describe how light interacts with the media. These scattering prop- function, and the index of refraction. Our theory is based on a ro- erties can be acquired by measurements, by manual adjustment to bust generalization of the Lorenz-Mie theory. Previous models us- match the desired appearance, or by use of a theoretical model. ing Lorenz-Mie theory have been limited to non-absorbing media In this paper, we present a novel theoretical model capable with spherical particles such as paints and clouds.
    [Show full text]
  • NCAR/TN-140+STR Mie Scattering Calculations
    NCAR/TN-140+STR NCAR TECHNICAL NOTE iI June 1979 Mie Scattering Calculations: Advances in Technique and Fast, Vector-Speed Computer Codes Warren J. Wiscombe ATMOSPHERIC ANALYSIS AND PREDICTION DIVISION rS~~~~~~~~ II,~~~~~~~~~~~~~Il Ig~~ I NATIONAL CENTER FOR ATMOSPHERIC RESEARCH BOULDER, COLORADO iii ABSTRACT Dave published the first widely-used Mie scattering codes in 1968. Even on the fastest computers, these codes and their descendants often took a great deal of computer time for problems of practical interest. In the intervening years, there have been a number of improvements in technique (some developed by this author and reported herein for the first time). At the same time, vector processing has increasingly become the wave of the future in scientific computing machines, and Mie computations can be effectively reorganized to take advantage of it. The present document gathers these improvements in technique, together with the necessary reorganization to attain vector speed, to produce new Mie scattering codes suitable for modern computation. Actually, two codes are presented. The first, MIEVO, attains as much vector speed as possible within the constraint of using the minimum possible memory. MIEVO is suitable for almost any computer, whether or not it has vector capabilities, and is generally faster and better designed than existing Mie codes. The second code, MIEV1, attains maximum vector speed, at the expense of using more memory than MIEVO. It is most suitable for vector-processing computers. MIEV1 is anywhere from 10% to 300% faster on the CRAY-1 than MIEVO. Detailed timing results are presented for both codes. The codes are thoroughly tested and documented and are exceptionally reliable and well-conditioned.
    [Show full text]
  • Holopy Documentation Release 3.1.1
    HoloPy Documentation Release 3.1.1 Manoharan Lab, Harvard University Jul 30, 2017 Contents 1 User Guide 3 1.1 Getting Started..............................................3 1.2 Loading Data...............................................4 1.3 Reconstructing Data (Numerical Propagation).............................8 1.4 Reconstructing Point Source Holograms................................. 10 1.5 Scattering Calculations.......................................... 13 1.6 Scattering from Arbitrary Structures with DDA............................. 19 1.7 Bayesian inference of Parameter Values................................. 21 1.8 Fitting Models to Data.......................................... 24 1.9 Developer’s Guide............................................ 26 1.10 HoloPy Tools............................................... 29 1.11 Concepts................................................. 30 2 holopy package 33 2.1 Module contents............................................. 33 2.2 Subpackages............................................... 33 3 References and credits 75 Bibliography 77 Python Module Index 79 i ii HoloPy Documentation, Release 3.1.1 Release 3.1.1 HoloPy is a python based tool for working with digital holograms and light scattering. HoloPy can be used to analyze holograms in two complementary ways: • Backward propagation of light from a digital hologram to reconstruct 3D volumes. – This approach requires no prior knowledge about the scatterer • Forward propagation of light from a scattering calculation of a predetermined
    [Show full text]
  • Laser Beam Atmospheric Propagation Modelling for Aerospace LIDAR Applications
    atmosphere Review Laser Beam Atmospheric Propagation Modelling for Aerospace LIDAR Applications Thomas Fahey 1,2 , Maidul Islam 1,2, Alessandro Gardi 1,2 and Roberto Sabatini 1,2,* 1 School of Engineering, RMIT University, Melbourne, VIC 3000, Australia; [email protected] (T.F.); [email protected] (M.I.); [email protected] (A.G.) 2 Food Agility CRC Ltd., 81 Broadway, Ultimo, NSW 2007, Australia * Correspondence: [email protected] Abstract: Atmospheric effects have a significant impact on the performance of airborne and space laser systems. Traditional models used to predict propagation effects rely heavily on simplified as- sumptions of the atmospheric properties and their interactions with laser systems. In the engineering domain, these models need to be continually improved in order to develop tools that can predict laser beam propagation with high accuracy and for a wide range of practical applications such as LIDAR (light detection and ranging), free-space optical communications, remote sensing, etc. The underlying causes of laser beam attenuation in the atmosphere are examined in this paper, with a focus on the dominant linear effects: absorption, scattering, turbulence, and non-linear thermal effects such as blooming, kinetic cooling, and bleaching. These phenomena are quantitatively analyzed, highlighting the implications of the various assumptions made in current modeling approaches. Absorption and scattering, as the dominant causes of attenuation, are generally well captured in existing models and tools, but the impacts of non-linear phenomena are typically not well described as they tend to be Citation: Fahey, T.; Islam, M.; Gardi, application specific.
    [Show full text]
  • MATLAB Functions for Mie Scattering and Absorption
    ________________________________ MATLAB Functions for Mie Scattering and Absorption Christian Mätzler ________________________________ Research Report No. 2002-08 June 2002 Institut für Angewandte Physik Mikrowellenabteilung __________________________________________________________ Sidlerstrasse 5 Tel. : +41 31 631 89 11 3012 Bern Fax. : +41 31 631 37 65 Schweiz E-mail : [email protected] 1 MATLAB Functions for Mie Scattering and Absorption Christian Mätzler, Institute of Applied Physics, University of Bern, June 2002 List of Contents Abstract..............................................................................................................1 1 Introduction.....................................................................................................2 2 Formulas for a homogeneous sphere ................................................................2 2.1 Mie coefficients and Bessel functions ............................................................................ 2 2.2 Mie efficiencies and cross sections................................................................................. 4 2.3 The scattered far field .....................................................................................................4 2.4 The internal field............................................................................................................. 5 2.5 Computation of Qabs, based on the internal field ............................................................ 6 3 The MATLAB Programs ....................................................................................7
    [Show full text]