Effective permeability and imaging of multilayered soft films for perpendicular recording media

Monson, J.; Coughlin, Tom

doi:10.1109/tmag.2002.801812

Cited by 2 publications

(6 citation statements)

References 5 publications

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“…Three useful properties of transition matrices are given in Appendix I-A. In [15], similar results are given for the case of isotropic layers but with our layer and interface matrices combined and all functions having the same reference location. Hence, their matrix [15, eq.…”

Section: Spatial Frequency and Transmission Matricesmentioning

confidence: 89%

“…The process starts by recognizing as boundary conditions that the uppermost layer, A, contains only a potential that decays with more negative and that the lowest layer, Z, contains only a potential that decays with more positive . Using the notation developed in Section III, refers to the "bottom" of the uppermost layer and refers to the "top" of the lowest layer, and we can therefore write (14) where the transmission matrices may be computed using the chain rule and (15) and where the th layer alone has permanent magnetization. This magnetization is introduced at the M/N interface by the matrix , given by (11) and (12).…”

Section: General Methodology For Solutionmentioning

confidence: 99%

“…This magnetization is introduced at the M/N interface by the matrix , given by (11) and (12). Note that the use of the double subscript is deliberately avoided in (14) and (15). For clarity, a single level of subscripting is used in these and all subsequent expressions.…”

Section: General Methodology For Solutionmentioning

confidence: 99%

“…These features make the above method of analysis particularly appropriate both for the write process and for the read process in magnetic recording. In [15], the layer and interface matrices are employed to find the effective permeability of a 2-D multilayered soft magnetic keeper layer for perpendicular recording. This work is extended in [16] to a 3-D write field analysis.…”

Section: Magnetic Recordingmentioning

confidence: 99%

“…And, in particular, Ruigrok has derived some of the most general expressions that include several layers and also the effect of finite permeability in the media and soft underlayer [13]. Also, Suzuki and Nishida [14] as well as Monson and Coughlin [15], [16] have recognized the applicability of reflection coefficients and transmission-line analysis and indeed that these types of analyses can be extended to three dimensions. An expression for the readback frequency response with an MR head was presented earlier in [17].…”

Section: Introductionmentioning

confidence: 99%

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Readback Responses for Complex Recording Media Configurations

Wilton

Wood

2004

IEEE Trans. Magn.

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This paper describes a relatively simple approach to calculating the frequency response for a two-dimensional (2-D) magnetic recording system with a medium that can include an arbitrary number of layers. Each layer may have an arbitrary magnetization direction, anisotropic permeability, and exchange coupling. The approach relies on an initial transformation into the spatial frequency domain and then the use of transmission matrices to relate the fields in the different layers. The approach is general in that it provides a method for finding the field configuration for any set of 2-D magnetic sources embedded in a layered magnetic medium with a linear -relationship. Here, we focus on calculating the readback response for a variety of longitudinal and perpendicular recording configurations. Since the permeability may have any wavelength dependence, we can easily include the effect of exchange coupling in the underlayer.

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Section: Spatial Frequency and Transmission Matricesmentioning

confidence: 89%