2013
DOI: 10.12693/aphyspola.124.425
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Methods of Determining the Beat Length of Planar Waveguides

Abstract: The paper presents two methods of determining the planar waveguide birefringence and the measuring stands, which are used to determine the beat length of planar waveguide structures. The light is introduced into the waveguide through a prism coupler. The rst method applies measurements of scattered light. The second method uses an immersion coupler. The most fundamental property of an immersion coupler is the possibility to change uently the propagation length while immersing the waveguide.

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Cited by 6 publications
(3 citation statements)
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“…Therefore, this parameter will be used to describe the broadband interference phenomenon in the next section. Methods for directly measuring and determining differences in the propagation constants Δ β can be found in the literature [42,43]. The relationship between the propagation constant and the effective refractive index is expressed as follows: βi(λ,nc)=2πNi(λ,nc)λ, after substituting in Equation (3) into Equation (6), one can derive the following: sans-serifΔϕ(λ,nc)=sans-serifΔβ(λ,nc)L, where Δ β is the difference in the propagation constants for TE and TM modes: sans-serifΔβ(λ,nc)=βTE(λ,nc)βTM(λ,nc).…”
Section: Resultsmentioning
confidence: 99%
“…Therefore, this parameter will be used to describe the broadband interference phenomenon in the next section. Methods for directly measuring and determining differences in the propagation constants Δ β can be found in the literature [42,43]. The relationship between the propagation constant and the effective refractive index is expressed as follows: βi(λ,nc)=2πNi(λ,nc)λ, after substituting in Equation (3) into Equation (6), one can derive the following: sans-serifΔϕ(λ,nc)=sans-serifΔβ(λ,nc)L, where Δ β is the difference in the propagation constants for TE and TM modes: sans-serifΔβ(λ,nc)=βTE(λ,nc)βTM(λ,nc).…”
Section: Resultsmentioning
confidence: 99%
“…For instance, rectangular crosssection nanophotonic waveguides are well-known to support both quasi-transverse-electric (TE-like) and quasi-transversemagnetic (TM-like) modes, the number of which depends on the waveguide's width and height (46). Although orthogonality prevents copropagating modes from interfering with each other, the local phase difference between their evanescent tails causes various near-field light-matter interactions (43,(47)(48)(49)(50), including optical forces (10), to be subject to near-field mode-beating phenomena. When two co-propagating guided modes are excited, a periodic spatial modulation of the optical force field appears along the waveguide, with a characteristic beat period (43,47,49,50):…”
Section: Experimental Optical Force Modulation Via Near-field Mode Bementioning
confidence: 99%
“…Previously, a method for determining the beat length of orthogonally polarised modes of the same order (e.g. TE 1 and TM 1 ) was shown [17,18].…”
Section: Introductionmentioning
confidence: 99%