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Topic: Sellmeier equation

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	[No title] (Site not responding. Last check: 2007-10-22)
		This equation is based on the average electronic absorption gap in the UV region and the lattice absorption gap at the IR region.
		The relevant Sellmeier parameters and their temperature derivatives are determined and the temperature dependence of lambda0 is shown to be dominantly driven by a temperature modulation almost-equal-to -0.4 meV/K of the electronic Sellmeier band gap.
		Analysis of the Sellmeier equation shows that the temperature dependence of the refractive index originates from the temperature shift of the resonance energy of the second term in the equation.
	drip.colorado.edu /~kelvin/classes/links/sellmeier.ref (4421 words)

	Encyclopedia :: encyclopedia : Equations (Site not responding. Last check: 2007-10-22)
		In mathematics, the theory of equations comprises a major part of traditional algebra.
		Topics include polynomials, algebraic equations, separation of roots including Sturm's theorem, approximation of roots, and the application of matrices and determinants to the solving of equations.
		It has been suggested that this article or section be merged with thermodynamic equations.
	www.hallencyclopedia.com /Equations (152 words)

	Schwinger Dyson Equation (Site not responding. Last check: 2007-10-22)
		Using the nonperturbative Schwinger Dyson equation, we show that chiral symmetry in weak coupling massless QED is dynamically broken by a constant...
		The Schwinger-Dyson equation for this particular example is: wikibooks.
		The Schwinger-Dyson equation for this particular example is: researcharea.
	schwinger-dysonequation.info (380 words)

	Sellmeier Equation (Site not responding. Last check: 2007-10-22)
		A plot of the refractive index vs. wavelength using the Sellmeier equation for BK7 glass.
		Sellmeier equation - References and free information on Sellmeier equation...
		Based on Sellmeier's equation for LiIO3 crystal, the phase-matched condition for sum-frequency generation of 1.0795 micrometers and 1.3414
	www.sellmeierequation.info (385 words)

	Sellmeier Formulas.
		Sellmeier coefficients which is a somewhat difficult and manual
		Sellmeier, then I can offer some help by fitting your data for you.
		Furthermore, the Sellmeir equation is not linear with
	www.groupsrv.com /science/ptopic120807.html (1484 words)

	[No title]
		We applied a three-term Sellmeier equation to experimental data of n($lambda@) of optical glasses for a large interval of wavelength ranging from the absorption edge in the UV to 2.325 4 $mu@m.
		The vector grating diffraction equation, well known for its use in ray-tracing, is now used to directly obtain the angle Eikonal at unit magnification of the element in question.
		Equations for orthogonal Karhunen-Loeve type modes, providing minimum phase distortions compensation error, while the number of modes is fixed, and realized by phase corrector with fixed response functions without approximation error, are received and researched.
	www.spie.org /web/abstracts/1700/1780.html (11683 words)

	[No title] (Site not responding. Last check: 2007-10-22)
		The measured group delay per unit fibre length versus wavelength shall be fitted by the three-term Sellmeier expression: So ¹ Øo2 ¼2 ç(Ø) = ço + ÄÄ ³Ø - ÄÄÄ ³ 8 » Ø ¾ Here ço is the relative delay minimum at the zero-dispersion wavelength Øo.
		Because the dispersion in the latter region is large, the reduced accuracy may be acceptable; if not, it can be improved by including data from the 1550 nm region when performing the fit.
		In this case, the differentiated Sellmeier equation shall be fitted directly to the dispersion coefficient for determining Øo and So.
	www.nmedia.net /docs/ccitt/1992/g/g652_b3.txt (1508 words)

	Introduction to SMFD
		This equation contains six coefficients, each depending on the set of four fundamental solutions and their derivatives, obtained from the set of Maxwell's equations.
		Evaluation of the eigenvalue equation root would require the values of the four fundamental solution functions and their derivatives to be known at the core/cladding interface.
		Research into the mathematical properties of these fundamental solution functions has revealed that the six coefficients of the eigenvalue equation are obtainable from a special initial value problem involving a system of six simultaneous linear differential equations of the first order.
	home.san.rr.com /gnowak/exact_fiber/SMFD.html (1754 words)

	Linear and Nonlinear Optics
		The parameter C in equation 2 above describes the chirp across the pulse, that is the instantaneous frequency variation over the temporal pulse profile.
		are the Sellmeier constants derived from experimental data.
		Equation 5 is valid over a range of wavelengths dependent on the material it describes.
	www.st-andrews.ac.uk /~wsquad/background/optics/opticst.htm (1454 words)

	sellmeier's equation to cauchy's equation Text - Physics Forums Library
		Now I know generally how to solve it, but my trouble is in some of the expansions.
		The hint that is provided with the problem is "Write Sellmeier's Equation with only the first term in the sum; expand it by the binomial theorem; take the square root of n^2 and expand again."
		The Sellmeier dispersion formula to leading order is n^2 = 1 + A \frac{\lambda^2}{\lambda^2 - \lambda^2_0}.
	www.physicsforums.com /archive/index.php/t-112824.html (369 words)

	Encyclopedia of Laser Physics and Technology - Sellmeier formula, refractive index, Sellmeier equation
		For the specification of a wavelength-dependent refractive index of a transparent optical material, one often uses a so-called Sellmeier formula (or Sellmeier equation).
		Such equations are very useful as the allow to quite accurately describe the refractive index in a wide wavelength range with only a few so-called Sellmeier coefficients, which are usually obtained from measured data with some least-square fitting algorithm.
		Sellmeier data are also very useful to evaluate the dispersion of a material.
	www.rp-photonics.com /sellmeier_formula.html (287 words)

	51
		In such a case, the common approach is to find the mathematical expression describing the experimental graph as accurately as possible.
		Such a formula is known as a Sellmeier equation.
		A three-term equation is used for a regular fiber at 1300 nm and five-term is used at 1550 nm.
	www.library.csi.cuny.edu /dept/as/51.htm (1824 words)

	[No title]
		Sellmeier equation and conversion of the radiation of a repetitively pulsed tunable TEA CO laser into the second harmonic in a ZnGeP
		m with curves calculated, on the basis of the spectral dependences of the refractive indices for the ordinary and extraordinary waves, for several Sellmeier coefficients.
		The Sellmeier coefficients are in agreement with the measured values.
	www.turpion.org /php/paper.phtml?journal_id=qe&paper_id=1577 (164 words)

	[No title]
		NOTE Relating the constants (A & B) of the fit equation y = A + Bx to the constants in a theoretical equation.
		Example: Theoretical equation d = do + vot If the data is plotted as and fitted with y = A + Bx Figure 1 with y = d and x = t, then clearly the y axis intercept A = do and the slope B = vo.
		From Graph 2 the 1st order fit equation is yf = A + B (yf = 16.9 (63.7 (= A + B (The Difference Plot (Graph 3) is a plot of (v.s.
	www.pma.caltech.edu /~dons/ph3-7/Primer/P97-Ch3.doc (3347 words)

	[No title]
		Problems: 1, 3, 6, 9, 13 (Hint, use Sellmeier equation and the coefficients for SiO2 in Table 3.1), and 14 in Chapter 3.
		The optical wavelength is EMBED "Equation" "Word Object1" \* mergeformat .
		Within the range of EMBED "Equation" "Word Object8" \* mergeformat , plot the curves for group velocity EMBED "Equation" "Word Object7" \* mergeformat vs. thickness EMBED "Equation" "Word Object8" \* mergeformat for all existing confined TE modes.
	www.cse.ucsc.edu /classes/ee233/Fall04/HW3F04.doc (175 words)

	sellmeier's equation to cauchy's equation
		My problem is to show that that where (lambda)>>(lambda_0) then Cauchy's Equation is an approximation of Sellmeier's.
		Apparently so, although I think some of the trouble is that your doc appears unreadable.
		The Sellmeier dispersion formula to leading order is
	www.physicsforums.com /showthread.php?p=929219#post929219 (419 words)

	[No title]
		Once, a reliable production method is developed a sample must be made available for optical characterization to develop a Sellmeier Equation which describes the index of refraction variation as a function of incident wavelength.
		Once this data is available the PLBG developed software has been developed to allow for easy update of this data.
		Once an accurate Sellmeier Equation is developed it can also be used in the Filmetrics to make comparative measurements to verify the accuracy of the measurement made by the device developed by PLBG.
	classes.engr.arizona.edu /engr498a/lungsns/techdocs/testing/reports/PLBG_test_2_5_1.doc (469 words)

	Cadmium Telluride (CdTe) - Dispersion
		Marple et al originally measured the refractive index at 300K from a prism of melt-grown material with polished surfaces in 1962 from which the following modified Sellmeier equation was derived;
		For CVD material, in 1966 Ladd was able to fit a modified Sellmeier equation of the following form and established a temperature coefficient of 1.0x10
		The temperature-dependence of this model were derived in both linear form and using a quadratic polynomial.
	www.irfilters.reading.ac.uk /library/technical_data/infrared_materials/cdte_dispersion.htm (201 words)

	Photonics.com \| Search (Site not responding. Last check: 2007-10-22)
		Lambert's cosine law - Flux per unit solid angle leaving a surface in any direction is proportional to the cosine of the angle b...
		Definition for word(s) Sellmeier's equation - The Photonics Directory
		Sellmeier's equation - An equation that uses the wavelength of light passing through a medium, along with a set of coefficients,...
	www.photonics.com /photonicsFind.aspx?searchString=S&E&searchIndex=0 (569 words)

	Germanium (Ge) - Dispersion
		Barnes and Piltch utilised this data to derive a fitted temperature-dependent modified Sellmeier equation (1-8) and published the following values for the coefficients in 1979
		Calculations from this equation has been evaluated from which accurate values for high-grade optical quality germanium are within 0.025% or better, over the 2.5-14µm range, and are considered sufficiently accurate to extrapolate to 40µm.
		From this model, the refractive index varies over the temperature range of 250K by approximately 45ppm/K from a mean temperature coefficient (dn/dT) of +4.1x10
	www.irfilters.reading.ac.uk /library/technical_data/infrared_materials/ge_dispersion.htm (175 words)

	Fiber Optics
		SSprop - Split-Step Fourier Software for solving nonlinear Schroedinger equation, which describes the propagation of optical signals in dispersive, nonlinear media** Author -
		Dispersion - Calculate the Refractive index of materials using Sellmeier equation** Author -
		CLADISS-2D - Rate equation model for the active region of laser diodes
	www.ashokpm.org /Photonics.html (541 words)

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