{"id":3105,"date":"2015-11-04T18:45:14","date_gmt":"2015-11-04T16:45:14","guid":{"rendered":"http:\/\/www.tonmeister.ca\/wordpress\/?p=3105"},"modified":"2018-05-29T07:56:07","modified_gmt":"2018-05-29T05:56:07","slug":"bo-tech-intuitive-directivity-plots","status":"publish","type":"post","link":"https:\/\/www.tonmeister.ca\/wordpress\/2015\/11\/04\/bo-tech-intuitive-directivity-plots\/","title":{"rendered":"B&O Tech: Intuitive Directivity Plots"},"content":{"rendered":"

#46 in\u00a0a series of articles<\/a>\u00a0about the technology behind\u00a0Bang & Olufsen<\/a>\u00a0loudspeakers<\/strong><\/p>\n

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I’ve been writing and presenting a lot of information over the past couple of months about the general topic of loudspeaker directivity or “Beam Width” as we call it in the BeoLab 90. One thing that I’ve noticed is that, every time I have to do this in person, I have to explain how to read our directivity plots. This has made me realise that these are not necessarily intuitive to someone that doesn’t look at these kinds of plots (or topographic maps) every day. So, I’ve been working on finding different ways to show the same data. This posting is a first attempt – there will probably be others in the future…<\/p>\n

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\"Figure<\/a>
Figure 1: A graphical guide on how to read the circular directivity plots below.<\/figcaption><\/figure>\n

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Figure 1, above, shows the idea.\u00a0We\u00a0have a loudspeaker, pointing to the right of the screen (towards the word “front”). We measure the magnitude response (more commonly called the “frequency response”) of the loudspeaker on-axis, directly in front of it. Then we rotate the angle of the listening position around the loudspeaker, towards the side. As we do, we measure how much the level changes (usually it gets quieter, but sometimes, at some frequencies and some angles, it gets louder) as a function of angle and frequency. As the angle to the listening position increases, some frequencies will get quiet very quickly, some will not get quiet at all – even when we reach the back of the loudspeaker.<\/p>\n

The plot above shows one way to look at this. The inner rings are the low frequencies (in the case of the plots on this webpage, the inner-most ring is 50 Hz) and the further outwards you go, the higher in frequency. The distance between the rings is logarithmic (in other words, by octave) so it makes more sense musically.<\/p>\n

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If you’re used to looking at the contour plots that I typically show on this site, then take a look at Figure 2 which shows exactly the same data. In this case, it’s plotted as a contour plot (like a topographic map) showing the -3 dB, -6 dB, -9 dB, and -12 dB contours relative to the on-axis response.<\/p>\n

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BeoLab 90: Beam Width Control: Off<\/h2>\n

Figures 2 and 3 show the directivity of the BeoLab 90 if you were to disable the Beam Width Control function entirely and just use the front woofer, midrange and tweeter by themselves (and therefore turn off the 15 other loudspeaker drivers in the system. It’s important to note that this is not possible in a production model loudspeaker – we did it as part of the initial measurements of the loudspeaker during the development process.<\/p>\n

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\"Figure<\/a>
Figure 2: BeoLab 90 directivity vs. frequency as a “normal” three-way loudspeaker with the Beam Control disabled. (Note that this is not possible in a production model.)<\/figcaption><\/figure>\n

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\"Figure<\/a>
Figure 3: BeoLab 90 directivity vs. frequency as a “normal” three-way loudspeaker with the Beam Control disabled. (Note that this is not possible in a production model.)<\/figcaption><\/figure>\n

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BeoLab 90: Narrow Beam<\/h2>\n

As I’ve discussed in other postings, our goal with BeoLab 90’s directivity was two-fold: The first was to have a constant directivity – meaning that it should be the same at all frequencies. The second was that the directivity should be narrow in order to reduce the influence of sidewall reflections. Of course, it should not be too narrow – you don’t want a loudspeaker that you can hear in your left ear, but not your right or “headphones at a distance” as I read on one website.<\/p>\n

So, we played around with different target directivity functions during the development process, trying to find a beam width that was not too wide and not too narrow. Figures 4 and 5 aren’t\u00a0drawings of the actual target for BeoLab 90 – but they’re illustrative of the concept.<\/p>\n

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\"Figure<\/a>
Figure 4: An example of a possible target for the Directivity vs. frequency of a loudspeaker with a narrow beam width and constant directivity.<\/figcaption><\/figure>\n

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\"Figure<\/a>
Figure 5: An example of a possible target for the Directivity vs. frequency of a loudspeaker with a narrow beam width and constant directivity.<\/figcaption><\/figure>\n

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The actual directivity of the narrow beam width in BeoLab 90 is plotted in Figures 6 and 7.<\/p>\n

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\"Figure<\/a>
Figure 6: Directivity vs. frequency of BeoLab 90 in Narrow mode<\/figcaption><\/figure>\n

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\"Figure<\/a>
Figure 7: Directivity vs. frequency of BeoLab 90 in Narrow mode<\/figcaption><\/figure>\n

It might also be interesting to compare this to one of BeoLab 90’s competitors from another manufacturer, shown in Figure 8.<\/p>\n

\"Figure<\/a>
Figure 8: Directivity vs. frequency of a competitor’s loudspeaker. This should be compared with the BeoLab 90 ‘s “Narrow” plot<\/figcaption><\/figure>\n

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BeoLab 90: Wide Beam<\/h2>\n

Again, we can look at a candidate for a target (but not the<\/em> target) for the wide beam mode. This is shown in Figures 8 and 9.<\/p>\n

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\"Figure<\/a>
Figure 9: An example of a possible target for the Directivity vs. frequency of a loudspeaker with a wide beam width and constant directivity.<\/figcaption><\/figure>\n

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\"Figure<\/a>
Figure 10: An example of a possible target for the Directivity vs. frequency of a loudspeaker with a wide beam width and constant directivity.<\/figcaption><\/figure>\n

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The actual directivity of the wide beam is shown in Figures 10 and 11.<\/p>\n

\"Figure<\/a>
Figure 11: Directivity vs. frequency of BeoLab 90 in Wide mode. Compare this to the BeoLab 5 plot.<\/figcaption><\/figure>\n

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\"Figure<\/a>
Figure 12: Directivity vs. frequency of BeoLab 90 in Wide mode. Compare this to the BeoLab 5 plot.<\/figcaption><\/figure>\n

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In addition, it might be interesting to compare those plots to the BeoLab 5 directivity, which had similar targets of a constant and wide directivity.<\/p>\n

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\"Figure<\/a>
Figure 13: BeoLab 5 directivity vs. frequency.<\/figcaption><\/figure>\n

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\"Figure<\/a>
Figure 14: BeoLab 5 directivity vs. frequency.<\/figcaption><\/figure>\n

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BeoLab 90: Omni\u00a0Beam<\/h2>\n

The directivity of BeoLab 90’s Omni mode is shown below in Figures 15 and 16. The lobing caused by the distances between the tweeters is visible in the contour plot, however, as you can see in Figure 16, there is certainly energy being directed in all directions across the entire frequency spectrum. However, the high-frequency lobing, in addition to the beaming in the lower midrange area would indicate that this mode is not appropriate for critical listening…<\/p>\n

\"Figure<\/a>
Figure 15: Directivity vs. frequency of BeoLab 90 in Omni mode<\/figcaption><\/figure>\n

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\"Figure<\/a>
Figure 16: Directivity vs. frequency of BeoLab 90 in Omni mode<\/figcaption><\/figure>\n

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Some details<\/h2>\n

The plots above were done in the horizontal plane with a smoothing of\u00a01\/12 octave (by semitone).<\/p>\n

The measurements on the loudspeakers were done in 73 increments of 5\u00ba from -180\u00ba to 180\u00ba (in other words, we’re actually measuring both sides of the loudspeaker – we don’t just measure one side and assume the directivity is symmetrical.<\/p>\n

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#46 in\u00a0a series of articles\u00a0about the technology behind\u00a0Bang & Olufsen\u00a0loudspeakers   I’ve been writing and presenting a lot of information over the past couple of months about the general topic of loudspeaker directivity or “Beam Width” as we call it in the BeoLab 90. One thing that I’ve noticed is that, every time I have […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[33,4,32,5],"tags":[],"class_list":["post-3105","post","type-post","status-publish","format-standard","hentry","category-acoustics","category-audio","category-bang-olufsen","category-loudspeakers"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p48hIM-O5","_links":{"self":[{"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/posts\/3105","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/comments?post=3105"}],"version-history":[{"count":5,"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/posts\/3105\/revisions"}],"predecessor-version":[{"id":3114,"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/posts\/3105\/revisions\/3114"}],"wp:attachment":[{"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/media?parent=3105"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/categories?post=3105"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.tonmeister.ca\/wordpress\/wp-json\/wp\/v2\/tags?post=3105"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}