Electromagnetic wave propagation through a dielectric guide having Piet Hein cross-sectional geometry

Misra, Vandana; Choudhury, Pankaj Kumar; Khastgir, P.; Ojha, S. P.

doi:10.1002/(sici)1098-2760(19960805)12:5<250::aid-mop2>3.0.co;2-9

Cited by 22 publications

(3 citation statements)

References 13 publications

(4 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Most of these guides are now widely recognized for their use in the fabrication of IO circuits and laser beam technology. A few examples of such guides are tapered and elliptical fibers [1][2][3][4][5], rectangular and planar [6][7][8][9][10], triangular [11][12][13][14], parabolic cylindrical [15][16][17][18], polygonal [19] and Piet Hein [20,21] type guides, the study of which have been presented using numerical and partially analytical techniques.…”

Section: Introductionmentioning

confidence: 99%

Towards the Characteristic Dispersion Relation for Step-Index Hyperbolic Waveguide With Conducting Helical Winding

Kumar

Choudhury

Rahman

2007

PIER

View full text Add to dashboard Cite

Abstract-A study is presented of the light wave propagation in a new type of dielectric optical waveguide with hyperbolic kind of crosssection. Further, the waveguide is assumed to have a conducting helical winding. The analysis essentially requires the use of elliptical coordinate system, which finally results into Mathieu and modified Mathieu functions as the representatives of the electromagnetic fields within the lightguide. Field components in the different sections of the guide are deduced, and the characteristic dispersion equation for the system is derived. The preliminary investigation on such type of waveguide throws the idea that the presence of helix pitch angle (which serves the purpose of additional controlling parameter for the guide) in the dispersion relation would greatly affect the propagation characteristics of the guide, and this can be of great practical importance.

show abstract

Section: Introductionmentioning

confidence: 99%

Towards the Characteristic Dispersion Relation for Step-Index Hyperbolic Waveguide With Conducting Helical Winding

Kumar

Choudhury

Rahman

2007

PIER

View full text Add to dashboard Cite

show abstract

“…The study of circular fibers has been important not only to improve their propagation characteristics but also to motivate technological developments of associated optoelectronic components. It is also known that a waveguide with a non-circular cross-section is special interest due to its possible use in integrated optics [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. Analytical studies of such non-circular fibers, being difficult, are rather rare.…”

mentioning

confidence: 99%

“…Analytical studies of such non-circular fibers, being difficult, are rather rare. More recent studies involve unusual cross-sectional shapes like the cardioidic [25][26], the Piet-Hein shapes [27] etc.…”

mentioning

confidence: 99%

Modal Analysis of a Doubly Clad Optical Waveguide Having a Cross-section of the Shape of a Lemniscate

Janma

Jatan

Singh³

et al. 2009

J Infrared Milli Terahz Waves

View full text Add to dashboard Cite

In this paper, we choose a simple analytical method based on scalar wave approximation to study the modal behaviour of an unconventional doubly clad optical waveguide having a cross section of the shape of a lemniscate. We take the appropriate orthogonal coordinates for the proposed structure and impose the boundary conditions under the weak guidance approximation to get the modal eigen value equation. Using this equation we obtain numerical results in the form of dispersion curves and cutoff frequencies. An attempt has been made to estimate how the modal behaviour changes when a single cladded waveguide having a lemniscates of Bernoulli type core cross-section is changed to a waveguide having double cladded shape of a lemniscate. It is noted that the double cladded waveguide provides an additional degree of freedom to control the cutoff frequencies on our choice.

show abstract

Correction to: ?Electromagnetic wave propagation through a dielectric guide having piet-hein cross-sectional geometry?

Misra

Choudhury

Khastgir

et al. 1997

Microw. Opt. Technol. Lett.

View full text Add to dashboard Cite

Electromagnetic wave propagation through a dielectric guide having Piet Hein cross-sectional geometry

Cited by 22 publications

References 13 publications

Towards the Characteristic Dispersion Relation for Step-Index Hyperbolic Waveguide With Conducting Helical Winding

Towards the Characteristic Dispersion Relation for Step-Index Hyperbolic Waveguide With Conducting Helical Winding

Modal Analysis of a Doubly Clad Optical Waveguide Having a Cross-section of the Shape of a Lemniscate

Correction to: ?Electromagnetic wave propagation through a dielectric guide having piet-hein cross-sectional geometry?

Contact Info

Product

Resources

About