By H. Angus MacLeod

Written by means of a world-renowned authority of optical coatings, Thin-Film Optical Filters, Fourth variation provides an advent to thin-film optical filters for either brands and clients. The preeminent writer covers an collection of layout, manufacture, functionality, and alertness themes. He additionally contains sufficient of the elemental arithmetic of optical skinny movies to allow readers to hold out thin-film calculations. This new version of a bestseller keeps lots of the descriptions of older layout suggestions due to their value in realizing how designs paintings. notwithstanding, this variation contains a mammoth quantity of latest fabric besides. a brand new bankruptcy on colour takes into consideration the expanding significance of colour in optical coatings. furthermore, a brand new part discusses the consequences of achieve in optical coatings. This complete but obtainable publication keeps to provide invaluable perception into the foundations, ideas, and procedures of profitable coating layout. It presents the sound beginning required to make extra advances within the box.

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28) Now Direct magnetic interactions at optical frequencies are vanishingly small so that µr is effectively unity. 1╇ The Poynting Vector An important feature of electromagnetic radiation is that it is a form of energy transport, and it is the energy associated with the wave, which is normally observed. 31) The direction of the vector is the direction of energy flow. indd 18 2/10/10 9:52:34 AM 19 Basic Theory When we add or subtract complex numbers, or multiply them by a real number, the real parts and imaginary parts remain independent.

Let the direction cosines of the sˆ vectors of the transmitted and reflected waves be given by (αt, βt, γt) and (αr, βr, γr), respectively. We already know the direction of the incident wave. We can therefore write the phase factors in the form: Incident wave exp{i[ω t − (2π n0/λi )( x sin ϑ 0 + z cos ϑ 0 )]} Reflected wave exp{i[ω t − (2π n0/λr )(α r x + βr y + yr z)]} Transmitted wave exp{i[ω t − (2π n1/λt )(α t x + βt y + yt z)]} The relative phases of these waves are included in the complex amplitudes.

Liddell H M 1981 Computer-aided techniques for the design of multilayer filters (Bristol: Adam Hilger) 25. indd 11 2/10/10 9:49:19 AM 2 Basic Theory The next part of the book is a long and rather tedious account of some basic theory that is necessary to make calculations of the properties of multilayer thin-film coatings. It is perhaps worth reading just once, or when some deeper insight into thin-film calculations is required. To make it easier for those who have read it to find the basic results or for those who do not wish to read it at all, to proceed with the remainder of the book, the principal results are summarized, beginning on page 52.

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