Note the Boolean sign must be in upper-case. 0000001454 00000 n Exact ray theory for the calculation of the optical generation rate in optically thin solar cells. Optical Properties of Thin Films 5 The effect of a thin transition layer (thickness ]>> The total contribution ρ of all of the rays of our subclass to the total reflection amplitude r is (D.1) ρ = ∑ p = 0 ∞ ∑ q = 0 ∞ p + q p t 1 2 t 2 2 p + 2 r 1 p r 2 q e i k [2 (p + 1) n 1 a 1 + 2 (p + q + 1) n 2 a 2], where t 1 and r 1 are transmission amplitude and right-reflection amplitude at the vacuum/film interface, t 2 and r 2 are transmission amplitude and right-reflection amplitude at the film/film interface, a 1 is the … -- Example: "gr?y" retrieves documents containing "grey" or "gray". or There is a profound duality between rays and waves. Derives exact expressions for the absorption cross sections of 1D systems. Note: Author names will be searched in the keywords field, also, but that may find papers where the person is mentioned, rather than papers they authored. xref trailer Separate search groups with parentheses and Booleans. Example: (diode OR solid-state) AND laser [search contains "diode" or "solid-state" and laser], Example: (photons AND downconversion) - pump [search contains both "photons" and "downconversion" but not "pump"]. By continuing to use this site, you agree to our use of cookies. ScienceDirect ® is a registered trademark of Elsevier B.V. ScienceDirect ® is a registered trademark of Elsevier B.V. 83 0 obj<>stream 0000003800 00000 n The basic formulas which are utilized in the calculations are given together with the essential details of the machine program, including a macro-flow diagram. Equations are available to subscribers only. A general program for the IBM 650 is presented for calculating the reflectance and transmittance of arbitrary multilayer combinations of absorbing and nonabsorbing films as functions of wavelength and angle of incidence. Figure files are available to subscribers only. In fact, 70 years ago, in the context of quantum mechanics, Feynman showed that rays, properly equipped with phases and correctly summed, provide exact solutions of the quantum mechanical wave equation. Am. 41(9) 636-640 (1951), Albert J. Derr Soc. Click here to see what's new. Published by Elsevier B.V. Physica E: Low-dimensional Systems and Nanostructures, https://doi.org/10.1016/j.physe.2018.08.018. 45(9) 772-772 (1955), Fred W. Billmeyer You may subscribe either as an OSA member, or as an authorized user of your institution. 0000002753 00000 n Citation lists with outbound citation links are available to subscribers only. Provides examples where the simplest rays already produce near perfect results. At normal incidence they can recalculate the expression for reflectance R. We use cookies to help provide and enhance our service and tailor content and ads. endstream endobj 66 0 obj<> endobj 67 0 obj<> endobj 68 0 obj<>/ProcSet[/PDF/Text]/ExtGState<>>> endobj 69 0 obj<> endobj 70 0 obj<> endobj 71 0 obj<> endobj 72 0 obj<> endobj 73 0 obj<> endobj 74 0 obj<>stream If it is assumed that the supplementary polarization at the surface is small compared with %PDF-1.4 %���� Cited by links are available to subscribers only. Our Reflectance Calculator uses the same calculation engine that our thin-film measurement systems do, which is based on the complex-matrix form of the Fresnel equations. Am. Thin film calculator is a program which is embedded in OptiScan which can be used to calculate the amplitude reflection and transmission coefficients, phase change, reflectance and transmittance of both s and p polarized light. Thin films are used commercially in anti-reflection coatings, mirrors, and optical filters. By continuing you agree to the use of cookies. 0000005988 00000 n 0000001094 00000 n Presents an exact ray solution of the 1D Helmholtz equation with a complex refractive index as a model for thin solar cells. Calculate reflectance due to thin-film interference by entering your films below. J. Opt. Soc. 0000007456 00000 n . You may subscribe either as an OSA member, or as an authorized user of your institution. You do not have subscription access to this journal. 0000004504 00000 n We show that inclusion of exact phases is mandatory and that a ray theory without phases may result in amplitude errors of up to 60%.

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