Field in the focal region of a dielectric spherical lens

Ji, Yu; Hongo, Kazuhiro

doi:10.1364/josaa.8.001721

Cited by 31 publications

(29 citation statements)

References 4 publications

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“…Magnitude of u LL and u RR around the focal point increases with the increase in the chirality parameter kβ as shown in Figures 4,5,[8][9][10][11]. Magnitude of u RL and u LR around the focal region decrease with the increase of chirality parameter kβ as shown in Figures 6, 7, 12-15.…”

Section: Geometric Optics Field Of a Paraboloidal Reflector Placed Inmentioning

confidence: 86%

“…The GO solution is not valid at focal points that is where J = 0, so Maslov's method is used to find the fields around the focal regions of a focusing system as in [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. The equation which is valid around the focal point of a paraboloidal reflector placed in ordinary medium is given as [6] u(r) = k 2π…”

Section: Geometrical Optics and Maslov's Methods In Ordinary Mediummentioning

confidence: 99%

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Field Around the Focal Region of a Paraboloidal Reflector Placed in Isotropic Chiral Medium

Rahim¹,

Mughal²,

Naqvi³

et al. 2009

PIER B

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Abstract-High frequency field expressions are derived at the focal points of a paraboloidal reflector placed in a homogenous and reciprocal chiral medium. Firstly Geometrical Optics (GO) field expressions are derived for the paraboloidal reflector placed in chiral medium. As the GO fails at the focal points, so Maslov's method has been used to find the field expressions which are also valid around the focal point. By using hybrid space, Maslov's method combine the simplicity of ray theory and the generality of Fourier Transform method. Some numerical results including contour plots and line plots around the focal region of paraboloidal reflector placed in chiral medium are obtained using the derived expressions.

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Section: Geometric Optics Field Of a Paraboloidal Reflector Placed Inmentioning

confidence: 86%

Section: Geometrical Optics and Maslov's Methods In Ordinary Mediummentioning

confidence: 99%

Field Around the Focal Region of a Paraboloidal Reflector Placed in Isotropic Chiral Medium

Rahim¹,

Mughal²,

Naqvi³

et al. 2009

PIER B

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show abstract

“…Geometrical Optics (GO) and Maslov's method are applied to analyze the field near the caustics of the focusing systems by many authors [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. In this work paraboloidal reflector is placed in a medium having strong electromagnetic coupling.…”

Section: Introductionmentioning

confidence: 99%

Paraboloidal Reflector in Chiral Medium Supporting Simultaneously Positive Phase Velocity and Negative Phase Velocity

Rahim¹,

Mughal²,

Naqvi³

et al. 2009

PIER

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Abstract-Focused high frequency electromagnetic waves reflected from a PEC paraboloidal surface placed in homogeneous, reciprocal and isotropic medium with high chirality parameter are analyzed. The value of the chirality parameter is set such that it simultaneously supports modes of negative and positive phase velocities. Present work is an extension of the previous work, in which the chiral medium supports only positive phase velocity. Using the previous derived expressions, line plots in the focal region are obtained.

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“…and its relation to other asymptotic ray theory methods have been discussed by Ziolkowski and Dechamps [17]. Hongo and co-workers applied Maslov's method to derive the high frequency solutions for field distribution by a phase transformer, a cylindrical reflector, a spherical reflector antenna, a dielectric spherical lens, and a spherical dielectric interface, and the radiation characteristics of plano-convex lens antennae [18][19][20][21][22][23][24]. Aziz et al utilized Maslov's method to study the two dimensional Cassegrain system and Gregorian system [24,25].…”

Section: Introductionmentioning

confidence: 99%

Focusing of an electromagnetic plane wave into a uniaxial crystal by a Wood lens

Ghaffar

Naqvi

2009

Open Physics

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Abstract:High frequency fields, refracted by a geometry containing a Wood lens placed at a certain distance from a planar uniaxial interface, are derived by using Maslov's method. The geometrical optics approximation generally valid for high frequency fields fails in the vicinity of a caustic. Maslov's method is a systematic procedure for predicting the field in the caustic region, combining the simplicity of the ray and the generality of the transform method. Numerical computations are made for the field pattern around the caustic by using Maslov's method. The results are found to be in good agreement with those obtained using Kirchhoff's approximation. 42.15.Dq, 42.15.Eq, 42.30.Kq, 42.25Gy PACS (2008):

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Field in the focal region of a dielectric spherical lens

Cited by 31 publications

References 4 publications

Field Around the Focal Region of a Paraboloidal Reflector Placed in Isotropic Chiral Medium

Field Around the Focal Region of a Paraboloidal Reflector Placed in Isotropic Chiral Medium

Paraboloidal Reflector in Chiral Medium Supporting Simultaneously Positive Phase Velocity and Negative Phase Velocity

Focusing of an electromagnetic plane wave into a uniaxial crystal by a Wood lens

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